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Governor’s Staff BiV/February 2001 Investment strategy for the Petroleum Fund Lecture at UiO...

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BiV/February 2001 Governor’s Staff Investment strategy for the Petroleum Fund Lecture at UiO February 14, 2001 Birger Vikøren Governor’s Staff Norges Bank www.norges-bank.no
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  • Assume: R = Rf + RPDIVt = (1+g)t DIV0

    High P0 (today):

    => LOW RP=> HIGH g=> INEFFICIENCY (BUBBLE!)

    Governors Staff

    The equity premium puzzleStandard economic models utterly fail to produce anything like the historical average stock return. After 10 years of intense effort, there is a range of drastic modifications to standard models that can explain the equity premium. However, these models are truly drastic modifications; they fundamentally change the description of the source of risk that commands a premium in asset markets. Furthermore, they have not yet been tested against the broad range of experience of the standard models. These facts must mean one of two things. Either the standard models are wrong and will change drastically; or the phenomenon is wrong and will disappear.

    Cochrane (1997)

    Governors Staff

    Rolling fixed window (10 years)

    Chart2

    33.49920810013.632228578218.824.42

    34.2920529993.664166420318.824.42

    36.16377317153.784964406118.824.42

    34.90614075233.633781165118.824.42

    34.66683475923.608704907718.824.42

    33.5119058283.563737738218.824.42

    29.49116297023.06075807618.824.42

    28.90735794452.753411822918.824.42

    25.64987632632.689797390118.824.42

    25.46798881822.086482686218.824.42

    23.93083654571.622898641318.824.42

    23.14622505821.70904261718.824.42

    17.95591790411.762570408418.824.42

    16.52778431751.17637342918.824.42

    16.50854085350.812888539618.824.42

    16.11041747170.777520989418.824.42

    13.42778417230.800547729218.824.42

    13.40421641790.791482434718.824.42

    14.27059684960.872210474118.824.42

    18.58739596850.936435321418.824.42

    18.11960804091.167295544818.824.42

    16.28560731311.300533651218.824.42

    18.50741184862.439946265318.824.42

    19.56825762982.647992950618.824.42

    19.79212382632.708646443418.824.42

    20.34337798354.233777535818.824.42

    20.46210904744.176910607418.824.42

    22.13419817594.257109217418.824.42

    21.45790372394.277911743918.824.42

    17.6173860154.293214801718.824.42

    16.50945466494.166323852618.824.42

    17.91132304813.987861582418.824.42

    16.65498924253.77383521418.824.42

    13.06487657813.478079930118.824.42

    14.38609606533.523839604118.824.42

    14.20391636134.933340202718.824.42

    12.94876913935.069856890418.824.42

    11.94948204365.064190623118.824.42

    13.45916643454.951007641518.824.42

    16.53108922944.943280961718.824.42

    19.72823258964.776451611818.824.42

    19.7682867525.236481537118.824.42

    19.48906784735.189890279318.824.42

    19.39195105085.248623099918.824.42

    19.20800819684.691844105618.824.42

    20.67868263593.258656164718.824.42

    21.15678446483.339069897118.824.42

    21.30496042928.048951967718.824.42

    19.98493755037.956623027418.824.42

    14.96391006548.062185807818.824.42

    14.22425690318.739530625618.824.42

    13.95870676128.833783950818.824.42

    12.25318480148.668161665918.824.42

    11.80985036138.454094668718.824.42

    12.68951991048.08131899318.824.42

    13.23304957717.616986937118.824.42

    12.12036307677.564864396218.824.42

    12.48592492015.342026352918.824.42

    12.47734306655.178322336618.824.42

    12.9757298667.277794537718.824.42

    13.82690838756.768612938518.824.42

    14.0091278186.768398875218.824.42

    14.41607933296.530220772218.824.42

    14.70844262476.490554162318.824.42

    14.16414836447.263047722718.824.42

    15.37550158177.548317251818.824.42

    Volatility - equity

    Volatility - bonds

    Average (1926-2000)

    Average (1926-2000)

    inflasjon

    yearinflation5 r5 r5 r1

    1926-0.0149-1.490.9851geomgeomartimetisk0.9851-1.5012120121inflobloig

    1927-0.0208-2.080.9792rlig0.96460992-2.1019367224

    1928-0.0097-0.970.99030.9552532038-0.9747351455

    19290.0020.21.0020.95716371020.1998002663

    1930-0.0603-6.030.9397-10.0553261541-2.0972050614-10.370.8994467385-10.0553261541-6.2194603593-10.59754397322.917051071841.59352606810.2231584314

    1931-0.0952-9.520.9048-17.387127301-3.7480482167-18.40.813819409-17.387127301-10.004135418-19.10046737915.329447574-26.20964902770.3038859994

    1932-0.103-10.30.897-24.322153992-5.4212102309-26.620.7299960098-24.322153992-10.8699416923-27.868472348919.351927705-66.5926453311

    19330.00510.511.0051-23.1911511435-5.1401898202-25.140.7337189895-23.19115114350.5087039049-26.385033298520.2495909461-59.6140080143

    19340.02032.031.0203-21.7883548021-4.7961997876-23.310.748613485-21.78835480212.0096701699-24.575163394923.0310362405-52.2687487587

    19350.02992.991.0299-14.280969044-3.0348998061-2.5671804756-14.290.7709970282-14.2809690444.63223296292.946171015-15.409532020623.302406827715.3472008129

    19360.01211.211.0121-4.1155711422-0.8370091248-2.3033704962-3.560.7803260922-4.11557114224.77202076931.2027380213-4.202658581328.6638581374101.3646120468

    19370.0313.11.03110.20830117331.9630602437-1.7984580629.840.804516201110.20830117335.05855227423.05292050359.720203614521.768509624866.7850521204

    1938-0.0278-2.780.97226.60084608561.2866320454-1.97943741456.550.78215065076.60084608565.0627845873-2.81937343716.392126272625.998689485650.70757904

    1939-0.0048-0.480.99523.97840049440.7833120421-2.04616238044.040.77839632763.97840049445.0365553705-0.48115569973.901300402921.801745327951.7472048558

    19400.00960.961.00961.92891847670.3828411052-1.34082786932.010.78586893231.92891847674.88667303320.95542128051.910550668417.94357285282.4743126053

    19410.09729.721.097210.49936701182.0168613830.579804605310.520.862255392510.49936701185.0442468889.27614800819.983960655315.4282113127-39.0514395271

    19420.09299.291.092917.13361610783.21345361442.586351864416.710.942358918517.13361610783.99399340688.8834713715.814511521915.801676120322.5881049629

    19430.03163.161.031624.29030896614.44495173062.853669817622.650.972137460324.29030896613.92314499693.111099502521.744984461412.529283096518.5256056244

    19440.02112.111.021127.52495426574.98301359942.86173155625.240.992649560727.52495426573.9212095642.088047757924.31418791919.892449442936.9600534591

    19450.02252.251.022529.15438365365.24993353362.787583657926.531.014984175829.15438365364.99164712823.92688793942.225060893525.58382753219.171128448278.3234360161

    19460.181618.161.181639.08933624246.82152332514.39155395834.971.199305302239.08933624246.38274588256.161030667716.686945223532.99462474759.667407382482.2276692619

    19470.09019.011.090138.73299061016.76673198934.975059608234.691.307362709938.73299061016.56409283436.28872712798.626943515232.73809689268.651869938869.2655118608

    19480.02712.711.027138.12781568026.67342240925.553306222334.241.342792239338.12781568026.53591253245.73582591172.67392971932.30092710917.713721750751.5878130473

    1949-0.018-1.80.98232.83862011355.84366538295.412461133930.331.31862197932.83862011356.57869327935.9062265637-1.816397062828.39648228848.223227066150.7829122484

    19500.05795.791.057937.43762955326.56660523985.906223227833.871.394970191637.43762955326.36427479645.68175051275.628581101131.8000024966.725071704547.2546700944

    19510.05875.871.058723.14253419764.251333155.5286037821.581.476854941923.14253419765.74686685815.53318122285.704174036720.81723130926.089392170277.196212599

    19520.00880.881.008813.95852536332.64773343554.686976482413.451.489851265413.95852536334.83916964935.55837146410.876150566913.06643836086.800365837588.5077942176

    19530.00620.621.006211.63963413552.22654451244.426315477511.361.499088343211.63963413554.83537295145.69861776610.618085907511.01059454948.14620241882.1587844394

    1954-0.005-0.50.99513.1175518992.49578346934.156273976612.661.491592901513.1175518994.91490351675.8801746951-0.501254182412.32573742988.4974222912107.2181787954

    19550.00370.371.00377.32213521231.42332892743.96316586137.241.49711179527.32213521234.96703647225.98213349160.36931718387.06647351257.1477392186107.1042273264

    19560.02862.861.02864.27084941850.83994085652.53145014614.231.53992919264.27084941854.94093907553.38057999632.81986543594.18216491166.367501190291.9307637134

    19570.03023.021.03026.48278060161.26418615121.95361291596.371.58643505426.48278060164.9413676992.54138107692.97529581496.281310159712.298489191663.6597554869

    19580.01761.761.01767.68920447251.49261297011.8589177127.511.61435631117.68920447254.73469790072.52886909291.74469136047.40791561267.8211641868100.6735648961

    19590.0151.51.0159.85381159761.89738200332.19614475079.511.63857165589.85381159764.66088437512.18640775911.48886124949.39803104434.785684702269.6926141746

    19600.01481.481.014811.0686938422.12176986571.771950240410.621.662822516311.0686938424.64512092641.79327880961.469154874310.497868734816.556159297342.73222959

    19610.00670.671.00678.70392192371.68316195711.26067369848.431.67396342728.70392192374.48779922031.09570068910.66776547538.345768774318.810139443260.1934658517

    19620.01221.221.01226.80461053311.32532376961.29475034786.631.6943857816.80461053314.29471535731.0876376031.21261797986.583090939216.673225890362.4651575345

    19630.01651.651.01656.6891574361.30340826631.39796648716.521.72234314646.6891574364.30606704791.06461312741.63653540866.474934987419.598315892546.9849641832

    19640.01191.191.01196.36330877781.24145261591.5688878146.211.74283902986.36330877784.32075587320.83924304521.18297517546.169048913423.949603834950.9427561633

    19650.01921.921.01926.82448197311.32909388821.7246597776.651.77630153926.82448197314.32414019440.72839320881.90180058366.601694622713.84608404462.2077064564

    19660.03353.351.03359.66832434611.86294816181.77301535959.331.83580764079.66832434612.43003633280.82336976983.2951100149.229039161316.596330009827.7899276498

    19670.03043.041.030411.6402305932.22665374541.774990978311.151.89161619311.6402305931.84229833570.826744622.994707636811.011128818312.190331030458.4197392243

    19680.04724.721.047215.01195226462.83680969892.067229401714.221.980900477315.01195226461.9420810191.2441168224.611993561413.986586971115.003592513748.3710972343

    19690.06116.111.061120.60399500743.81792365812.521594792119.142.101933496520.60399500741.93709060191.75641838855.930610589718.734222385410.300315471624.2330360176

    19700.05495.491.054924.82844812924.53523846282.919682242222.712.217329645424.82844812921.91023806731.93723858455.344597570622.177019372424.866127480216.4308730136

    19710.03363.361.033624.84052635354.53726132093.191441655422.722.291831921524.84052635351.74267028921.76690092793.304785404622.186694763128.643344231440.4080004831

    19720.03413.411.034125.28880852314.61222900413.412562640823.092.369983390125.28880852311.73088234271.6234271023.353148320922.545135447232.669692033436.2915154317

    19730.0888.81.08830.17019067345.41497453964.117912369327.172.578541928430.17019067342.2003681512.22015239728.434114843426.367256729232.73662964059.9487836263

    19740.12212.21.12237.64108372026.59813749635.198846479833.262.893124043637.64108372022.92118288953.136218529811.511280710131.947926849539.0133907267-11.915764981

    19750.07017.011.070139.62434703676.90357553615.71277482534.783.095932039139.62434703672.93526579092.94472202056.775210205133.37853948430.971318303515.7795017117

    19760.04814.811.048141.58308642527.20184876025.8611717236.233.244846370241.58308642522.93695236782.84713989044.697900119434.771654198834.71741271623.787137092

    19770.06776.771.067746.1834071917.88960821126.238281242539.593.464522469446.1834071913.00115083192.67039655816.550680220237.969186098131.0862832922-1.0421907026

    19780.09039.031.090346.49243461437.93518478026.667636870539.823.777368848446.49243461433.14924765452.73970578318.64528877338.180360027830.009867324621.1643022006

    19790.133113.311.133147.94169132048.14790624777.370225761740.934.280136642247.94169132043.64735390753.427475423412.495723940439.164803258228.484430175268.8356039031

    19800.12412.41.12455.39338477169.21606003218.053631699346.324.810873585855.39338477163.90458718083.682432770811.689375147144.078968200224.781352872365.2895013236

    19810.08948.941.089461.516604684910.06352942898.623265628850.455.240965684461.51660468493.80010287263.28389267668.562708596747.943776677621.704463872438.8728414946

    19820.03873.871.038757.12962188469.45903450558.671488201747.555.443791056457.12962188463.67100144093.20431375913.796993125245.190089582545.846023095365.7239528689

    19830.0383.81.03849.59235762298.38816938738.161439944242.325.650655116549.59235762293.56472819513.55978526193.729578474440.274379283949.563852888379.6723981203

    19840.03953.951.039537.23524468186.53520163697.338525230732.965.873855993637.23524468183.41166493543.48864650613.873982831631.65263817558.675649095968.8300503354

    19850.03773.771.037726.69841050384.84657144247.009015698724.336.095300364626.69841050383.30980536873.67332199033.700672562923.663935590873.346931954468.633512363

    19860.01131.131.011317.61529515563.2982015876.627222838916.526.164177258717.61529515563.45189863854.08553831621.123663192616.224890186678.415027482390.6171076045

    19870.04414.411.044118.22675428133.40538439536.389160813417.066.436017475818.22675428133.39704279294.14852972624.315527031416.743424092955.732061981176.3146259242

    19880.04424.421.044218.9329256463.52861890315.930531397217.686.720489448218.9329256463.40533864924.08701738574.325104199417.338949817954.504937782171.5502283104

    19890.04654.651.046519.73382076823.66767732115.091659548418.387.032992207619.73382076823.4263272883.18364291694.545126290418.010093276753.862640910392.8450060818

    19900.06116.111.061122.43380284974.13105484784.488200680620.727.462708031422.43380284973.4216383811.98386967545.930610589720.240031303644.641124365561.7393614669

    19910.03063.061.030624.77037201314.52550970173.910043653922.657.691066897224.77037201313.43586789011.26416463413.014115691222.130483802244.91866140471.4490145847

    19920.0292.91.02922.96591590994.22141129623.812596043621.147.914107837222.96591590993.4601933321.30473496672.858745685220.67370245649.003193190473.7412708922

    19930.02752.751.027520.99930913373.88589319483.707102196419.478.131745802720.99930913373.49140972131.34805415322.712866738819.061464995353.73399156567.7253478324

    19940.02672.671.026718.70997676793.48977530093.578688116517.498.348863415718.70997676793.23663340361.38356263162.634977532317.151316237235.979113321441.650779829

    19950.02542.541.025414.71605897442.78384114463.455255060813.928.560924546414.71605897443.28004569131.41968854172.508278036713.728983684242.223140060576.6665631234

    19960.03223.221.032214.89415493252.81573559743.667097811614.088.836586316814.89415493253.31076632881.16974878593.169244673213.884112666329.925997614370.7662635273

    19970.0171.71.01713.55428140562.57480562423.394830652212.888.986808284213.55428140563.37646697161.28797688041.685711706612.711078687731.030058557792.1643879888

    19980.01611.611.016112.29440908632.34617747093.113161437511.749.131495897612.29440908633.30941157911.3464063281.59717695111.595388899930.0998192915107.7805706032

    19990.0262.61.02612.21784720232.33221781952.90936900111.679.368914790912.21784720232.61218299511.23956264692.566774674911.527186042532.3822382081125.5411128563

    20000.0373.71.03713.48732938242.56270707382.673214575312.839.715564638213.48732938241.71413627170.63777826173.633192924712.652100930530.017160672683.6540699395

    3.17163.078061037618.60524563523.268481391116.56014084513.031638935215.828334754925.763744743751.0872743362

    4.425025283218.37814831723.287846623216.44845059954.2899626216.056796626516.652869772339.7620152432

    3.47150821233.312028169

    5 rs STDEV ved kvadrat av 59.894657335375.9049493327

    5 rs STDEV ved Ibbotsen11.231566339152.0345875763

    5 rs STDEV ved artimetisk16.4484505995

    5 rs STDEV ved geometrisk18.3781483172

    inflasjon

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    Aksjeavkastning over 5 rsperioder

    Akjseavkastning over 10 rsperioder

    Gj.snitt (1926-2000)

    Sheet1

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    Volatilitet (10 rs perioder)

    Volatilitet (20 rs perioder)

    aksje og oblig (5 r)

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    Volatilitet (10 rs perioder)

    Avkastning (10 rs perioder)

    porteflje - real

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    Aksjeavkastning

    Obligasjonsavkastning

    Rullerende 10 rsperioder

    aksjeavkast - real

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    Aksjevolatilitet

    Obligasjonsvolatilitet

    Rullerende 10 rsperioder

    obligasjonsavkast - real

    5 r5 r5 r5 r

    geomgeomlnln

    obligaksjeobligaksje

    193221.3512779273-48.620270206919.351927705-66.5926453311

    193724.319551903895.004124026221.768509624866.7850521204

    194217.118582502625.342656085615.801676120322.5881049629

    19479.037175681299.9016118188.651869938869.2655118608

    19527.0369224284142.3173251526.800365837588.5077942176

    195713.08673355889.003917216212.298489191663.6597554869

    196218.143790347886.759512786916.673225890362.4651575345

    196712.964487148179.355088994412.190331030458.4197392243

    197238.63812295443.751388721932.669692033436.2915154317

    197736.4602029875-1.036778712731.0862832922-1.0421907026

    198258.163675377292.945876064645.846023095365.7239528689

    198774.5988061579114.501438626855.732061981176.3146259242

    199263.2368343752109.051972836749.003193190473.7412708922

    199736.3835001657151.341875427931.030058557792.1643879888

    30.752833108277.115695631225.635979106350.5922880342

    21.470333488254.925474792315.694014700242.0287158718

    31.545182130275.904949332725.897091278352.3487127941

    25.806004834952.034587576317.371179278729.9765917612

    31.272684687978.550969043925.763744743751.0872743362

    23.935705752961.232753459816.652869772339.7620152432

    obligasjonsavkast

    year5 r5 r5 r5 r

    geomgeomlnln

    obligaksjeobligaksje

    stdev aksje19.2565629437stdev aksje 5 r29.9765917612

    stdev oblig5.3521900808stdev oblig 5 r17.3711792787

    193025.755644758351.578773462822.917051071841.5935260681correl0.0984158411correl0.0609155958

    193526.241186303916.587515163823.302406827715.3472008129andel aksje0.9andel aksje0.1

    194019.65419980812.505177760617.94357285282.4743126053andel oblig0.1andel oblig0.9

    19459.6048330233118.85393550829.171128448278.3234360161

    19506.956360238860.40740928776.725071704547.2546700944

    19557.4093867512191.84197061717.1477392186107.1042273264risiko17.391738326916.0971899792

    196018.005564361753.314670900316.556159297342.73222959

    196514.85047057586.279316807813.84608404462.2077064564

    197028.2307609617.857812151424.866127480216.4308730136

    197536.303411675417.092615028830.971318303515.7795017117

    198028.122099900292.109437999124.781352872365.2895013236aksjeandel00.10.20.30.40.50.60.70.80.91

    1985108.229222785798.64221850773.346931954468.6335123631 r5.355.366.037.198.6310.2411.9613.7315.5517.3919.26

    199056.269398239585.408926766144.641124365561.73936146695 r17.3716.115.4715.5616.3617.7719.6721.9324.4427.1429.98

    199552.5361453411115.257678946942.223140060576.66656312345 r roten av 511.962963679611.985324359413.483489904316.077328758219.297266645822.897336089626.743373010930.701213331134.770857050138.885222128743.0666692466

    200035.0090472304130.83678108330.050715276830.017160672683.65406993950.0609155958

    3.2467289723.00373134332.56550580432.16411682891.89571263041.73535156251.64464882941.59723233791.57170418011.560667051.5565939772

    31.545182130275.904949332725.897091278352.34871279412.23606797752.23606797752.23606797752.23606797752.23606797752.23606797752.23606797752.23606797752.23606797752.23606797752.2360679775

    25.806004834952.034587576317.371179278729.9765917612

    31.272684687978.550969043925.763744743751.0872743362

    23.935705752961.232753459816.652869772339.7620152432

    obligasjonsavkast

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    1 r

    5 r

    Risiko og investeringshorisont

    rdata

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    Risiko ved femrshorisont i forhold til risiko ved ettrshorisont

    Forholdet dersom bde aksjer og obligasjoner flger random walk

    stat

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    1 year

    5 years

    Equity potion

    Standard deviation

    Risk and investment horiozon

    aksje og oblig

    yearaksjeObligAkjseOblig

    192612.49421794936.7414798914LN avkastLN avkast

    192733.94003684256.52276218885 r5 r

    192837.16784575391.890528924stdev aksje19.6061719369stdev aksje 5 r38.08944974

    1929-8.99552814225.6365240634stdev oblig6.7904817054stdev oblig 5 r20.3911094744

    1930-22.415502362512.723299977252.19107004133.5145950448correl0.1928033354correl0.1183531309

    1931-46.80603374057.6567997995-7.109181648834.4299149529andel aksje0.35andel aksje0.35

    19322.325045509119.3132472898-38.724172982247.2204000539andel oblig0.65andel oblig0.65

    193342.66304402041.3047531147-33.228974715846.6346242446

    1934-3.46013879026.6080994542-27.693585363847.6061996354

    193536.03481583483.829039190130.756732833538.7119388483risiko8.845923135419.880221535

    193628.0045040541.8113776699105.567270628132.8665167187

    1937-46.177376613-1.504963418657.06484850612.0483060103

    193829.91364828188.863010317544.315452767419.6065632131

    19390.07031289534.901981166247.845904452917.900444925

    1940-11.24732668131.96161644950.563761936816.0330221844aksjeandel00.10.20.30.40.50.60.70.80.91

    1941-21.5946580652-8.777393857-49.03540018245.44425065741 r6.796.777.298.249.5110.9812.5714.261617.7919.61

    19429.6316170104-6.96204947776.773593441-0.01283540165 r19.6119.1818.819.3120.6422.6425.1628.0531.2234.5838.09

    194319.9206760037-0.3398556459-3.2193788371-9.2157013649

    194415.9355572724-0.304055945112.64586554-14.4217384762

    194528.8464162628-0.029344158352.739608484-16.4126990839

    1946-25.1012220347-15.691912138249.2330445144-23.3272173651

    1947-3.074012536-7.721059066436.5274149681-24.0862269538

    19482.6801469738-0.840834050519.2868859382-24.5872053584

    194919.03510129414.10989419122.38642996-20.1732552223

    195021.9146539012-4.931019727415.4546675985-25.0749307915

    195115.8230916566-5.344820485756.3789812898-14.727839139

    195215.98836203090.740707549375.4413558567-6.2660725233

    1953-1.61301899292.560846341471.14818989-2.8643921314

    195442.77935276973.145971183894.8924413656-3.8283151386

    195527.0599663495-1.0214388828100.03775381390.0812657061

    19563.5339366445-3.240749913387.74859880182.1853362785

    1957-14.38179144374.572550302757.37844532716.0171790319

    195834.2741849635-3.043084116293.26564928350.4132485742

    19599.8082866165-1.879623732560.2945831303-4.6123463421

    1960-1.00025592579.649198021832.23436085516.0582905625

    196123.14727286671.165330193151.847697077410.4643706689

    1962-10.34742192574.198314584955.882066595410.0901349512

    196318.9021475639-0.009838162240.510029195813.1233809051

    196414.07196467072.777550283944.773707249917.7805549215

    19659.8320486581-0.886967478455.60601183377.2443894213

    1966-13.89785047851.288231620318.56088848857.3672908485

    196718.5002999918-1.989774051547.40861040591.1792022121

    19685.8780474212-0.172034831734.38451026331.0170055427

    1969-14.8137319604-6.67336217265.4988136322-8.4339069138

    1970-1.412911332910.2360475433-5.74614635882.6891081078

    197110.06960160035.055772980918.221305726.4566494683

    197214.02537425631.678133066513.746379984510.1245565863

    1973-24.2868056662-3.9272185066-16.41847310286.3693729114

    1974-42.258950688-5.9772712067-43.86369183057.0654638772

    197524.85174272530.7633624855-17.5990377723-2.4072211805

    197616.68412226597.4087526785-10.9845171067-0.0542414828

    1977-14.0014854377-5.1505282566-39.0113768007-6.8829028059

    1978-2.2914866926-5.2148084038-17.0160578272-8.1704927031

    19794.4279077841-8.487151586529.670800645-10.6803730829

    198016.3914752037-7.853879759521.2105331234-19.2976153279

    1981-13.59734604040.4670552013-9.070935183-26.2393128051

    198215.603313031621.744718061320.53386328640.6559335128

    198316.57266885743.418731687839.39801883649.2894736044

    19842.20730110819.246385729937.177412160427.0230109209

    198524.183639815514.806105683344.969576772249.6829963637

    198615.825294605312.974196133474.392217417962.1901372957

    19870.7822974451-1.456781346259.571201831438.9886378882

    198811.21274551851.596081763854.211278492537.1659879641

    198922.83093542077.932945399374.834912805135.8525476335

    1990-9.15194282623.354651111741.499330163324.401093062

    199123.644495224511.361280673349.318530782622.7881776019

    19924.53133509884.084531786353.067568436328.3294907344

    19936.80905991937.939117598948.66388283734.6725265696

    1994-1.3334838245-7.911784086124.499463591818.8277970841

    199529.286173021113.021010403962.937579439128.4941563763

    199617.5890666464-1.09099075556.88215086116.041884948

    199727.10249353886.361626708379.45330930118.31897987

    199823.54093232168.124568120696.185181703318.5044303916

    199916.495261286-5.5611623122114.013926813920.8550521656

    2000-13.72578478379.531017980471.00196900917.3650597422

    7.43810362362.147779320535.25893958129.9354099887

    19.60617193696.79048170540.192803335438.0894497420.39110947440.1183531309

    aksje og oblig

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    00

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    1 r

    5 r

    Risisko og investeringshorisont

    aksjeavkast

    yearreal-aksje5 r5 r5 r1ObligOblig

    19260.133082935713.30829357431.1330829357geomgeomartimetisk1.133082935712.494217949310 r10 r

    19270.404105392240.41053921571.4041053922rlig1.590967859833.9400368425avkaststdev

    19280.450166616245.01666161771.45016661622.307168477737.1678457539

    1929-0.0860279441-8.60279441120.91397205592.1086875169-8.9955281422

    1930-0.2008087688-20.08087687560.799191231268.524457292911.002455875370.05182312091.685244572968.5244572929-22.415502362552.19107004111

    1931-0.3737842617-37.37842617150.6262157383-6.8623627506-1.411775974119.36510337511.0553266744-6.8623627506-46.8060337405-7.109181648811

    19320.0235228542.35228539581.023522854-32.1073041804-7.4525172328-18.69315044491.0801509697-32.10730418042.3250455091-38.724172982211

    19330.532086359653.20863595661.5320863596-28.2720536943-6.4297738159-10.50117610591.6548845669-28.272053694342.6630440204-33.228974715811

    1934-0.034009605-3.40096050180.965990395-24.1896874892-5.3881232459-5.29934219661.5986025964-24.1896874892-3.4601387902-27.693585363811

    19350.43382852743.38285270411.43382852736.01123795216.34448164268.648509566958.16438738322.292122006236.011237952131.264835724736.034815834830.7567328335114.73042249243.6322285782

    19360.323189408232.31894081611.3231894082187.390779960423.507851289810.3468155949127.86175437083.0329115608187.390779960431.869835499828.004504054105.5672706281114.49753594983.6641664203

    1937-0.3698351115-36.98351115420.630164888576.941411808512.08974925131.850989868688.52595782091.911234375476.941411808534.2472364112-46.17737661357.064848506114.19775909883.7849644061

    19380.348693684434.86936844271.348693684455.76130100619.26772807531.114816078770.18669030692.577669731655.761301006133.127125318329.913648281844.3154527674114.73344113193.6337811651

    19390.00070337620.07033762061.000703376261.358602123510.04198721242.035674800173.65798842932.579482803161.358602123532.81530870980.070312895347.8459044529114.58529593943.6087049077

    1940-0.1063787639-10.63787638670.89362123610.5653540650.11281597683.181614257719.63725933852.30508061110.56535406532.082366215-11.24732668130.5637619368114.21084115153.5637377382

    1941-0.1942216551-19.42216551220.8057783449-38.7590438295-9.34152850475.8160338304-32.10384698981.8573840396-38.759043829529.6871272297-21.5946580652-49.0354001824114.50785702683.060758076

    19420.101107146110.11071461251.10110714617.00826991481.36393658036.592017686214.99037877692.04517883917.008269914829.57855360479.63161701046.773593441113.82848673222.7534118229

    19430.220434276922.04342768511.2204342769-3.1681085049-0.64180732924.1952205182.16443801932.4960063576-3.168108504925.984751684819.9206760037-3.2193788371113.92797992912.6897973901

    19440.172754872217.27548721971.172754872213.48025322492.56142804476.235885431319.36958761842.927203616913.480253224925.8667469815.935557272412.64586554113.22018043272.0864826862

    19450.334376528133.43765281171.334376528169.451418772711.12430092845.474957641163.44511681683.905991799469.451418772727.465010951424.569509058828.846416262852.739608484112.74856499461.6228986413

    1946-0.2219871361-22.19871360870.778012863963.612467934410.34769837840.019766386560.66856872043.038911866263.612467934428.409693099524.6979300053-25.101222034749.2330445144112.54131645061.709042617

    1947-0.0302724521-3.02724520690.969727547944.09089787437.57895207684.425217623447.5306089012.946916552444.090897874327.511253897720.6073902005-3.07401253636.5274149681112.47549860941.7625704084

    19480.02716385942.7163859411.027163859421.27237457493.93273986621.619728362328.20356715693.026966179421.272374574925.987634908417.98812105272.680146973819.2868859382112.04492840221.176373429

    19490.209674134420.9674134421.209674134425.09012601094.57902920393.565315519631.89549337923.661642692925.090126010926.043890647518.800681698619.035101294122.38642996111.82807607410.8128885396

    19500.245013706424.50137063991.245013706416.7128753673.13919886967.057327505922.95921120744.558795340616.71287536725.599946347518.810704703721.914653901215.4546675985111.60232168780.7775209894

    19510.171436667617.14366676111.171436667675.731980959211.936097291611.139060197562.30159157725.340340022175.731980959223.288384388916.109600511215.823091656656.3789812898111.58815925030.8005477292

    19520.173374306117.33743061061.1733743061112.636416959116.286026019611.847793095682.66626739466.2662177679112.636416959123.238677424716.162633106815.988362030975.4413558567111.5572238880.7914824347

    1953-0.0160007951-1.60007950710.9839992049103.700766250715.29182995779.465043606278.34980194666.1659533015103.700766250721.229126080416.423169757-1.613018992971.14818989111.59863603040.8722104741

    19540.533869346753.38693467341.5338693467158.293000046620.898949516412.4432958081110.7693231789.4577667625158.293000046623.19736159421.289653035542.779352769794.8924413656111.68612218090.9364353214

    19550.310750224231.07502241711.3107502242171.930827727122.149498686712.2426008112117.342974955112.3967699042171.930827727122.466737150421.065187116227.0599663495100.0377538139111.39694848941.1672955448

    19560.0359712233.59712230221.035971223140.484628803919.183864864215.5031458145103.796430496212.8426968791140.484628803921.955829560117.39556274093.533936644587.7485988018111.25348036271.3005336512

    1957-0.1339545719-13.39545719280.866045428177.497165408712.160073280414.204418477873.063542692711.122358916377.497165408719.846486382418.9367438425-14.381791443757.3784453271111.92824048292.4399462653

    19580.408805031440.88050314471.4088050314154.12510339720.50623382217.8702007237115.544125344515.6692352028154.12510339720.269396056219.880004085434.274184963593.2656492835111.60955262182.6479929506

    19590.103054187210.30541871921.103054187282.749436886312.816133040816.787636216972.462609390317.284015500682.749436886320.10177377620.07096211849.808286616560.2945831303111.33717193742.7086464434

    1960-0.0099527-0.99527000390.990047338.03589976356.659221654314.141887383140.392316969317.111992878838.035899763519.647694099920.8049592426-1.000255925732.2343608551112.39870689064.2337775358

    19610.260454951826.04549518231.260454951867.946782226910.926251560314.980952230662.840689849421.568896159767.946782226918.38526575821.058987828423.147272866751.8476970774112.5497274334.1769106074

    1962-0.0983007311-9.83007310810.901699268974.860908957711.824907169611.992364841266.406073934119.448657898674.860908957719.159117260822.6543793751-10.347421925755.8820665954112.93954776974.2571092174

    19630.208066896220.80668962121.208066896249.9452875588.439264752114.313636079446.332260410723.49527978349.94528755819.132011675822.045728213318.902147563940.5100291958112.77988534934.2779117439

    19640.151101887515.11018875381.151101887556.47672212279.367918833511.078646379651.137030445327.045460906556.476722122719.115173798717.779481095514.071964670744.7737072499112.91521300494.2932148017

    19650.103316326510.33163265311.103316326574.378862754111.76318461389.181382481262.463933102329.839698576774.378862754118.523967840816.51874835919.832048658155.6060118337113.08691108034.1663238526

    1966-0.1297532656-12.97532656020.870246734420.39512847353.78193956527.294648215223.443111359825.967900241720.395128473517.721023107718.0268091076-13.897850478518.5608884885113.60407421393.9878615824

    19670.203222049720.32220496891.203222049760.65453111459.945787874110.881366886953.595389436931.24515015560.654531114517.402251546616.54186834418.500299991847.4086104059112.92841461953.773835214

    19680.06054239886.05423987781.060542398841.03601575127.11887579567.777048263338.842939693433.136806495641.036015751217.306238229913.09237525255.878047421234.3845102633113.52075193493.4780799301

    1969-0.1376873056-13.76873056260.86231269445.65280802921.10583234685.15576287449.964020376928.57428889215.652808029218.280858296714.825715363-14.81373196045.4988136322113.48432017083.5238396041

    1970-0.0140297659-1.40297658550.9859702341-5.5841725843-1.14265085665.1123787322-1.770588861628.1733983095-5.584172584318.282338162514.8479700924-1.4129113329-5.7461463588113.94712927414.9333402027

    19710.105940402510.59404024771.105940402519.98698075513.71147837863.7467029921.798777946331.158099465619.986980755118.223582151413.256910822410.069601600318.22130572114.62785958895.0698568904

    19720.150565709315.05657093121.150565709314.73601706052.7874173246.306366607216.533143908635.849440812414.736017060518.186259016312.581568917214.025374256313.7463799845114.58814503815.0641906231

    1973-0.215625-21.56250.784375-15.1414752625-3.23036667151.8128397271-11.083595969228.1194051372-15.141475262519.391975013814.4200052532-24.2868056662-16.4184731028114.8898139434.9510076415

    1974-0.3446524064-34.46524064170.6553475936-35.5085106081-8.3989437866-3.7638267994-31.780106048218.4279844897-35.508510608118.866154772817.8276561956-42.258950688-43.8636918305115.05498630564.9432809617

    19750.282123166128.21231660591.2821231661-16.137394721-3.458582762-2.3074793513-2.164812856923.626945818-16.13739472118.668450440819.987956164124.8517427253-17.5990377723115.74257807464.7764516118

    19760.181566644418.15666444041.1815666444-10.4027152922-2.17294725010.72630374495.397811335927.9168110877-10.402715292218.895574155620.233509556216.6841222659-10.9845171067116.54111243755.2364815371

    1977-0.1306546783-13.0654678280.8693453217-32.3020148532-7.5056619489-2.4948507751-22.724227423424.2693491164-32.302014853218.878182520219.7551712239-14.0014854377-39.0113768007116.5832277655.1898902793

    1978-0.0226543153-2.26543153260.9773456847-15.6470646765-3.345953694-3.288177451-3.42715895623.7195436288-15.647064676517.018895551719.6176117613-2.2914866926-17.0160578272116.47568859145.2486230999

    19790.0452740274.52740270061.04527402734.54223874276.1137664829-1.409264691835.565484386224.793422887634.542238742716.946773930919.18969326024.427907784129.670800645116.98279283354.6918441056

    19800.17811387917.81138790041.17811387923.62780969184.33336988790.361802465825.164555680729.209475611823.627809691817.218733000219.938823754316.391475203721.2105331234115.7336141693.2586561647

    1981-0.1271342023-12.71342023130.8728657977-8.6716883606-1.7978297303-1.9855679447-5.705528991125.4959522299-8.671688360616.804990554520.2218170069-13.5973460404-9.070935183115.80439535683.3390698971

    19820.168864927316.88649273131.168864927322.79408156814.1922669007-1.83078508524.246431568329.8013243522.794081568116.856253443120.381167817815.603313031620.5338632864117.99689669178.0489519677

    19830.180250481718.02504816961.180250481748.2871170288.19836156672.263431631744.536911270435.173027419348.28711702816.717561111519.52126904716.572668857439.3980188364118.28253827057.9566230274

    19840.02231842232.23184223181.022318422345.03053516467.71889505336.913318513142.241350801735.958033899545.030535164616.491022875814.18316148522.207301108137.1774121604119.10713236428.0621858078

    19850.273585814827.35858147831.273585814856.78351268749.41077091046.841913269651.788544379645.795641901856.783512687417.31905128314.048440795124.183639815544.96957677221110.31042875748.7395306256

    19860.17146247417.14624740431.171462474110.417228110816.04228155116.750193870481.648212015353.6478759627110.417228110817.105507960613.968243291315.825294605374.39221741791110.53029843368.8337839508

    19870.00785365390.78536538651.007853653981.432231588112.65303289128.340088933865.547084670554.069207811181.432231588116.747995276612.27625662120.782297445159.57120183141110.69163486658.6681616659

    19880.1186554311.86554299941.1186554371.96362483211.45185935169.813061952659.387579500360.484812913471.96362483216.832419205811.634597820411.212745518554.21127849251110.967678778.4540946687

    19890.256473960825.64739608221.2564739608111.350800389516.145069813811.852664636282.803133350775.9975924508111.350800389516.891872086312.346767570922.830935420774.83491280511111.91151070178.081318993

    1990-0.0874564132-8.74564131560.912543586851.43605969158.65403529389.031746587946.698910556869.351115606651.436059691517.149173864113.8438078892-9.151942826241.49933016331112.52306718927.6169869371

    19910.266737822626.67378226281.266737822663.752393927610.366566417213.168848072356.226445415287.849681180363.752393927617.738999417912.219085799123.644495224549.31853078261113.12618474797.5648643962

    19920.04635568514.63556851311.046355685170.008063852311.19721347911.922756164560.076648541991.922013339970.008063852317.638902505712.48509894114.531335098853.06756843631111.04165943875.3420263529

    19930.07046228717.04622871051.070462287162.68389351910.222158482210.83530351255.257334252998.399048635162.68389351916.369939318512.43397159816.809059919348.6638828371111.43139558885.1783223366

    1994-0.0132463232-1.32463231710.986753676827.76144599585.021922404710.443553499828.285305853697.095623037127.761445995813.247303114912.7736180849-1.333483824524.4994635918119.40011489547.2777945377

    19950.340257460534.02574605031.340257460587.643892992313.414057206311.00853559371.0566932195130.133133157787.643892992313.735554343713.84506809529.286173021162.9375794391119.0748616286.7686129385

    19960.192307692319.23076923081.192307692376.618439137812.048799666711.204502113863.6136801875155.158735688176.618439137813.772264635913.950207213817.589066646456.882150861117.77167243076.7683988752

    19970.311307767931.13077679451.3113077679121.340730016317.222847723614.170285201390.1088884689203.4608553723121.340730016313.454205198314.531876893927.102493538879.453309301118.33230894636.5302207722

    19980.265426631226.54266312371.2654266312161.653733825321.211935849715.5865096072109.6053228822257.4647848024161.653733825313.388621749114.914202219223.540932321696.1851817033118.74481567136.4905541623

    19990.17933723217.93372319691.179337232212.720385472125.612031245314.8565061219128.8636783962303.6378066383212.720385472113.253874449414.583550852216.495261286114.0139268139117.0752156517.2630477227

    2000-0.1282545805-12.82545805210.8717454195103.403130851215.258118741414.332370186382.0124742938264.6948671176103.403130851214.514070072515.3792394412-13.725784783771.001969009117.49136155617.5483172518

    9.69657065747.721718608952.40880072067.611634334346.38877796257.438103623635.2589395812

    20.333608868556.17405752118.119638811438.664593509519.606171936938.08944974

    8.79326463859.2777555925

    5 rs STDEV ved kvadrat av 545.467331657875.9049493327

    5 rs STDEV ved Ibbotsen68.138222317252.0345875763

    5 rs STDEV ved artimetisk38.6645935095

    5 rs STDEV ved geometrisk56.1740575211

    aksjeavkast

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    Aksjeavkastning over 5 rsperioder

    Akjseavkastning over 10 rsperioder

    porteflje

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    Volatilitet (10 rs perioder)

    Volatilitet (20 rs perioder)

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    Volatilitet (10 rs perioder)

    Avkastning (10 rs perioder)

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    Aksjeavkastning

    Obligasjonsavkastning

    Rullerende 10 rsperioder

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    Aksjevolatilitet

    Obligasjonsvolatilitet

    Rullerende 10 rsperioder

    yearreal-oblig5 r5 r5 r1

    19260.06973911286.9739112781.0697391128geomgeomartimetisk1.06973911286.7414798914

    19270.06740196086.74019607841.0674019608rlig1.14184162656.5227621888

    19280.01908512571.90851257191.01908512571.16363381751.890528924

    19290.05798403195.79840319361.05798403191.23110599795.6365240634

    19300.135681600513.56816005111.135681600539.81444301386.932669146134.98918317311.398144430139.814443013812.723299977233.51459504485.3

    19310.07957559687.95755968171.079575596841.10006725657.128603635935.97283157681.509402607641.10006725657.656799799534.42991495295.3

    19320.213043478321.30434782611.213043478360.35244702199.904409791550.53698332441.830970989260.352447021919.313247289847.22040005395.3

    19330.01313302161.3133021591.013133021659.41588692699.775726496649.94177291151.855017170859.41588692691.304753114746.63462424465.3

    19340.06831324126.83132412041.068313241260.9722809819.989244667250.97469383821.981739406260.9722809816.608099454247.60619963545.3

    19350.03903291583.90329158171.039032915847.27323080548.04999791817.489881749941.30982536882.059092473647.27323080545.90758559073.829039190138.71193884835.3

    19360.01827882621.82788262031.018278826238.91126572126.79415744156.961249820635.18014830742.09673026738.91126572126.18852917161.811377669932.86651671875.3

    1937-0.0149369544-1.49369544130.985063045612.80416318952.43892814286.106031577912.382105042.065411502612.80416318956.7649046084-1.504963418612.04830601035.3

    19380.0926764049.26764040321.09267640421.66067512073.99921098346.848439112520.33644328422.256826413521.66067512076.6340916538.863010317519.60656321315.3

    19390.05024115765.02411575561.050241157619.60260655753.64494583386.769983168618.52923491952.37021198519.60260655756.6545219714.901981166217.9004449255.3

    19400.01980982571.98098256741.019809825717.38984539063.25856995245.627119000716.60692590522.417165471217.38984539066.37719802791.961616449516.03302218445.3

    1941-0.0840320817-8.40320816620.91596791835.59517643841.09479967883.90540868226.37583511862.21404602495.59517643847.7176138767-8.7773938575.44425065745.3

    1942-0.0672522646-6.72522646170.9327477354-0.0128345779-0.00256704741.21081883231.14430409822.0651464158-0.01283457795.5956442549-6.9620494777-0.01283540165.3

    1943-0.0033927879-0.33927879020.9966072121-8.803805217-1.82625832111.0445034323-8.46261509522.058139812-8.8038052175.62127955-0.3398556459-9.21570136495.3

    1944-0.0030359416-0.30359416320.9969640584-13.4300462285-2.84314745680.348476417-13.7903250142.0518914197-13.43004622855.2669544971-0.3040559451-14.42173847625.3

    1945-0.0002933985-0.02933985330.9997066015-15.1365753738-3.2292491657-0.0379604831-15.80064743462.0512893977-15.13657537386.63192796935.1274119629-0.0293441583-16.41269908395.3

    1946-0.1452268111-14.52268111040.8547731889-20.8062000468-4.5582845968-1.7724015376-21.92012037881.7533871799-20.80620004687.74795269976.8319740174-15.6919121382-23.32721736515.3

    1947-0.0743051096-7.43051096230.9256948904-21.4050131827-4.7030570396-2.3810998614-22.62540487931.6231015532-21.40501318278.01028255257.0795707592-7.7210590664-24.08622695385.3

    1948-0.0083730893-0.8373089280.9916269107-21.7977724528-4.7984926414-3.3237971843-23.12343501721.609511179-21.79777245288.03671746875.8903946266-0.8408340505-24.58720535845.3

    19490.04195519354.19551934831.0419551935-18.2686512611-3.9543426749-3.4003428259-18.62432150571.677038532-18.26865126118.00408471955.76703571514.109894191-20.17325522235.3

    1950-0.0481141885-4.81141884870.9518858115-22.178255994-4.8913117566-4.0638797314-23.40640050111.5963491839-22.1782559947.63501266265.4762663475-4.9310197274-25.07493079155.3

    1951-0.0520449608-5.20449608010.9479550392-13.6946322744-2.9026088077-3.7340061259-14.08821547081.5132672532-13.69463227447.56481746555.2750728869-5.3448204857-14.7278391395.3

    19520.00743457570.74345757341.0074345757-6.0737912437-1.245394473-2.9896293689-5.91424693521.5245177532-6.07379124375.73194759875.31215018570.7407075493-6.26607252335.3

    19530.02593917712.59391771021.0259391771-2.8237573244-0.5712406069-2.707822673-2.48302029691.5640624892-2.82375732445.76328446715.54242097662.5608463414-2.86439213145.3

    19540.0319597993.19597989951.031959799-3.7559614023-0.7627392951-2.3715823362-3.48255974571.614049612-3.75596140235.56770640845.80503254993.1459711838-3.82831513865.3

    1955-0.0101623991-1.01623991230.98983760090.08129873560.0162544621-2.46839094470.31261919061.59764699560.08129873565.45329682535.7721231914-1.02143888280.08126570615.3

    1956-0.0318880031-3.18880031110.96811199692.20938964790.4380237877-1.24641734962.32831495961.54670122332.20938964795.4261476243.9245606058-3.24074991332.18533627855.3

    19570.04678703164.67870316441.04678703166.20189754531.2107062308-0.0248862526.26356055071.61906678236.20189754535.59146872023.63798903064.57255030276.01717903195.3

    1958-0.0299724843-2.99724842770.97002751570.41410362360.0826838791-0.24481419580.67239441281.57053932870.41410362365.045482553.7576803567-3.04308411620.41324857425.3

    1959-0.0186206897-1.86206896550.9813793103-4.5075943278-0.9182275735-0.8405139112-4.38565445221.5412948032-4.50759432784.79329578843.449369191-1.8796237325-4.61234634215.3

    19600.101300748910.13007489161.10130074896.24556774711.2190284270.61584419746.76066035171.69742912116.24556774715.45188823394.56727182659.64919802186.05829056255.3

    19610.01172146621.17214661771.011721466211.03149420862.11492833131.273005291711.12160728051.717325479111.03149420865.23994522634.06803232811.165330193110.46437066895.3

    19620.04287690184.28769017981.042876901810.61675124152.03852682011.623773607410.73059429591.790959075110.61675124155.19928277374.16308448744.198314584910.09013495125.3

    1963-0.0000983768-0.00983767830.999901623214.02343472592.65942414741.36286644613.71800504521.790782886314.02343472595.20059815444.1823027944-0.009838162213.12338090515.3

    19640.02816483842.81648384231.028164838419.459300913.62009682721.325529125918.3965578531.841219996919.459300915.25522980874.16628027462.777550283917.78055492155.3

    1965-0.0088304553-0.88304552590.99116954477.51324832441.45942499661.33915542837.38343743551.82496118617.51324832445.25548673784.1578979594-0.88696747847.24438942135.3

    19660.01296565071.29656507011.01296565077.64546487241.48436707811.79915948057.5078558881.84862299547.64546487244.08592441213.83558677171.28823162037.36729084855.3

    1967-0.019701087-1.97010869570.9802989131.18618221050.23611876471.13330753471.25005701261.8122031131.18618221053.7036807133.8693767391-1.98977405151.17920221215.3

    1968-0.0017188694-0.17188693660.99828113061.02219462020.20360810891.42408346121.08800775431.80908817261.02219462023.69290658763.6244008424-0.17203483171.01700554275.3

    1969-0.0645556498-6.45556497970.9354443502-8.0880441822-1.67263487750.9390464328-8.18404106771.6923013101-8.08804418223.91592413744.3195396252-6.6733621726-8.43390691385.3

    19700.107782728210.77827282211.10778272822.72559090640.53927047830.99829984863.47727728021.87470216222.72559090644.40436128994.473534376710.23604754332.68910810785.3

    19710.05185758515.18575851391.05185758516.66965055331.29970356321.39199328017.3664707241.97191968926.66965055334.25714961994.65834621645.05577298096.45664946835.3

    19720.01692292821.6922928151.016922928210.654833892.04555172771.136788768511.02887223472.005290344410.654833894.2545439594.5561755651.678133066510.12455658635.3

    1973-0.0385110294-3.85110294120.96148897066.57659356931.28202292770.74137250377.34965623011.9280645496.57659356934.40582135874.8260555793-3.92721850666.36937291145.3

    1974-0.0580213904-5.80213903740.94197860967.32105165561.4231241265-0.13675071458.00308217241.81619556317.32105165564.63826851045.1904366227-5.97727120677.06546387725.3

    19750.00766283520.76628352491.0076628352-2.378478705-0.4802871510.0281926661-2.00890712481.8301127705-2.3784787054.62081969315.18610082140.7633624855-2.40722118055.3

    19760.07690105917.69010590591.0769010591-0.0542267748-0.01084770820.6422947210.49544026721.9708503808-0.05422677484.76696202515.71112043967.4087526785-0.05424148285.3

    1977-0.0502013674-5.02013674250.9497986326-6.6513733606-1.36714901820.3246913622-6.21698929031.8719109967-6.65137336064.89928193745.9510788696-5.1505282566-6.88290280595.3

    1978-0.0508117032-5.08117032010.9491882968-7.8456158741-1.6208195793-0.1799498749-7.44705666921.7767960107-7.84561587415.00617196276.2078917264-5.2148084038-8.17049270315.3

    1979-0.0813696938-8.1369693760.9186303062-10.1297956813-2.1134221208-0.3608383287-9.78188700781.6322186634-10.12979568135.36154512056.4209878318-8.4871515865-10.68037308295.3

    1980-0.0755338078-7.55338078290.9244661922-17.5498364435-3.7859924853-2.1470981528-18.10155131571.5089309726-17.54983644355.12933147565.4956297753-7.8538797595-19.29761532795.3

    19810.0046814760.46814760421.004681476-23.0791433206-5.1125397545-2.5950888658-25.32350961741.5159949968-23.07914332065.11993040184.98825667120.4670552013-26.23931280515.3

    19820.242899778624.28997785691.24289977860.6580894680.13127279-0.62076218993.98660498211.88422984580.6580894687.50292568639.844509762821.74471806130.65593351285.3

    19830.034778423.47784200391.034778429.73462181851.8752609670.111960719412.5456173061.94976038289.73462181857.53087142999.81717130983.41873168789.28947360445.3

    19840.09687349699.68734968731.096873496931.02659203015.55331786181.647690919630.36993636942.138640489231.02659203017.78601184959.93190344129.246385729927.02301092095.3

    19850.159583694715.95836947091.159583694764.35030396810.44704537493.08517281253.88168662332.479932640164.3503039688.451587598510.833239429414.806105683349.68299636375.3

    19860.138534559513.85345594781.138534559586.246591970113.24464297323.660486966567.26699496692.823489015986.24659197018.863699385711.260098744412.974196133462.19013729575.3

    1987-0.0144622163-1.44622162630.985537783747.68129872078.10980912764.044090601241.53079548372.782655107147.68129872078.850588546410.9885820513-1.456781346238.98863788825.3

    19880.01608887191.60888718641.016088871945.0139675387.71643387784.755142173239.66184066622.827424888645.0139675388.831055671610.53107651651.596081763837.16598796415.3

    19890.08256091738.25609173441.082560917343.12174938417.43384698436.489431399838.23058271323.060859681143.12174938418.64738446259.44012522537.932945399335.85254763355.3

    19900.03411554053.41155404771.034115540527.635828185.00126231287.689735736925.68376728993.165282563527.635828188.46897647838.12517209653.354651111724.4010930625.3

    19910.120318261212.03182612071.120318261225.59368348024.6630917288.869345801323.86213746283.546123857725.59368348028.69837768817.755469323911.361280673322.78817760195.3

    19920.04169096214.16909620991.041690962132.74965925915.82948506976.963570578729.4774552993.693965173132.74965925918.69168696725.72459400444.084531786328.32949073445.3

    19930.08262773728.26277372261.082627737241.44280800727.18059753677.448181685636.13134183533.999189156741.44280800728.57828194225.58642550977.939117598934.67252656965.3

    1994-0.0760689588-7.606895880.923931041220.71690265063.83735493825.62029398620.26835422093.694975001520.71690265068.69599933247.2811900727-7.911784086118.82779708415.3

    19950.139067680913.90676809051.139067680932.96843241025.86434376955.431919880630.76356826374.20882660632.96843241028.93556154596.987708220313.021010403928.49415637635.3

    1996-0.0108506103-1.08506103470.989149389717.40024983623.26040028123.959380271817.64668110844.163158268517.40024983628.99169657566.6252352453-1.09099075516.0418849485.3

    19970.06568338256.56833824981.065683382520.10423427253.73174021864.775362813520.04592314824.436608585420.10423427258.73793815856.35205032086.361626708318.318979875.3

    19980.08463733888.46373388451.084637338820.32717485983.77022156525.461625029520.246883314.812111329620.32717485988.45605094886.32094610558.124568120618.50443039165.3

    1999-0.0540935673-5.40935672510.945906432723.18911656714.25921919764.048073261422.44442246494.551807061823.18911656718.24510081987.1188296815-5.561162312220.85505216565.3

    20000.1101.118.96398299713.5340252934.692701013318.53765437445.006987767918.96398299717.69073255117.33210593639.531017980417.36505974225.3

    2.40518798512.171010117812.77385943072.090942057611.22459291372.14777932059.9354099887

    7.030507840623.77156853924.188397755321.08360218066.790481705420.3911094744

    2.43342370382.2449185827

    5 rs STDEV ved kvadrat av 515.72069344875.9049493327

    5 rs STDEV ved Ibbotsen17.370267595852.0345875763

    5 rs STDEV ved artimetisk21.0836021806

    5 rs STDEV ved geometrisk23.7715685392

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    Aksjeavkastning over 5 rsperioder

    Akjseavkastning over 10 rsperioder

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    Volatilitet (10 rs perioder)

    Volatilitet (20 rs perioder)

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    Volatilitet (10 rs perioder)

    Avkastning (10 rs perioder)

    yearbonds-MT5 r5 r5 r1

    19260.05385.381.0538geomgeomartimetisk1.05385.24026787935.3

    19270.04524.521.0452rlig1.101431764.42082546645.3

    19280.00920.921.00921.11156493220.91579377855.3

    19290.06016.011.06011.17836998465.83632432975.3

    19300.06726.721.067225.75564475834.690071796523.551.257556447625.75564475836.503839617922.91705107185.3

    1931-0.0232-2.320.976816.56681894093.113371917715.851.22838113816.5668189409-2.347335618615.3294475745.3

    19320.08818.811.088121.35127792733.946260683720.141.336601516321.35127792738.443305597519.3519277055.3

    19330.01831.831.018322.4455076434.133045778221.051.36106132422.4455076431.813457019520.24959094615.3

    19340.0991.0925.89906926794.713940748124.041.483556843225.89906926798.617769624123.03103624055.3

    19350.07017.011.070126.24118630394.77078874074.730422492424.331.587554177926.24118630393.63222857826.775210205123.30240682775.3

    19360.03063.061.030633.1942737565.90028059894.497535949829.711.636133335733.1942737563.66416642033.014115691228.66385813745.3

    19370.01561.561.015624.31955190384.44986601534.197759098822.461.661657015824.31955190383.78496440611.547957084821.76850962485.3

    19380.06236.231.062329.69130903225.33729815894.733441131926.861.765178247829.69130903223.63378116516.043636880425.99868948565.3

    19390.04524.521.045224.36087724814.45680917554.585295939422.381.844964304624.36087724813.60870490774.420825466421.80174532795.3

    19400.02962.961.029619.65419980813.65388620284.210841151518.331.899575248119.65419980813.56373773822.9170377317.94357285285.3

    19410.0050.51.00516.68200155943.13374165374.507857026815.771.909073124316.68200155943.0607580760.498754151115.42821131275.3

    19420.01941.941.019417.11858250263.21080407623.828486732216.151.946109142917.11858250262.75341182291.921421892415.80167612035.3

    19430.02812.811.028113.34803226112.53751710863.927979929112.732.000794809813.34803226112.68979739012.771243856712.52928309655.3

    19440.0181.81.01810.3982939551.99819171823.220180432710.012.036809116410.3982939552.08648268621.78399181289.89244944295.3

    19450.02222.221.02229.60483302331.85115093312.74856499469.272.08202627889.60483302332.92903684551.62289864132.19571673529.17112844825.3

    19460.0111.0110.15013070011.95229428132.54131645069.772.102846541610.15013070012.96614671181.7090426170.99503308539.66740738245.3

    19470.00910.911.00919.03717568121.74543168462.47549860948.742.12198244519.03717568123.01379019111.76257040840.90588444888.65186993885.3

    19480.01851.851.01858.01902872421.55470608462.04492840227.782.16123912038.01902872422.98092161661.1763734291.83309566857.71372175075.3

    19490.02322.321.02328.5707958651.6582441541.82807607418.32.21137986798.5707958652.92593174540.81288853962.29349712828.22322706615.3

    19500.0070.71.0076.95636023881.35410034911.60232168786.782.2268595276.95636023882.85756148340.77752098940.69756137366.72507170455.3

    19510.00360.361.00366.2786169661.22532477191.58815925036.142.23487622136.2786169662.65370937010.80054772920.3593535516.08939217025.3

    19520.01631.631.01637.03692242841.36936423661.5572238886.862.27130470377.03692242842.29808266770.79148243471.61685811626.80036583755.3

    19530.03233.231.03238.48720178971.64258497921.59863603048.242.34466784568.48720178972.29116259850.87221047413.17893224898.1462024185.3

    19540.02682.681.02688.86890031051.7140078531.68612218098.62.40750494398.86890031051.76321917020.93643532142.64471700158.49742229125.3

    1955-0.0065-0.650.99357.40938675121.4398147441.39694848947.252.39185616187.40938675121.54195117341.1672955448-0.6521216997.14773921865.3

    1956-0.0042-0.420.99586.57459877131.2816437851.25348036276.472.38181036596.57459877131.62009055951.3005336512-0.42088447746.36750119025.3

    19570.07847.841.078413.0867335582.49019796251.928240482912.682.568544298613.0867335582.08971233232.43994626537.547846117612.29848919165.3

    1958-0.0129-1.290.98718.13514937041.57653099951.60955262188.162.53541007718.13514937042.00533623642.6479929506-1.29839275587.82116418685.3

    1959-0.0039-0.390.99614.90204741710.96173214521.33717193745.092.52552197784.90204741711.96073562992.7086464434-0.39076248314.78568470225.3

    19600.117611.761.117618.00556436173.36666327052.398706890617.52.822523362418.00556436172.99604300444.233777535811.118352896116.55615929735.3

    19610.01851.851.018520.69558877523.83368795752.54972743319.772.874740044620.69558877522.97465234594.17691060741.833095668518.81013944325.3

    19620.05565.561.055618.14379034783.39086767012.939547769717.493.034575591118.14379034783.07245020524.25710921745.410932564716.67322589035.3

    19630.01641.641.016421.65064178863.99749556792.779885349320.423.084342630821.65064178863.0731365774.27791174391.626697246419.59831589255.3

    19640.04044.041.040427.06086509074.90649122982.915213004924.853.208950073127.06086509073.0973632254.29321480173.960525459223.94960383495.3

    19650.01021.021.010214.8504705752.80791601323.086911080314.113.241681363814.8504705753.11144170344.16632385261.014833105213.8460840445.3

    19660.04694.691.046918.05297756013.37496822913.604074213916.953.393716219818.05297756013.14068761333.98786158244.583341634316.59633000985.3

    19670.01011.011.010112.96448714812.46803005752.928414619512.43.427992753612.96448714813.13815781533.7738352141.004933585312.19033103045.3

    19680.04544.541.045416.18759825323.04619378243.520751934915.33.583623624616.18759825323.16762637353.47807993014.439958729715.00359251375.3

    1969-0.0074-0.740.992610.84949060572.08142885793.484320170810.523.557104809810.84949060573.25486696313.5238396041-0.742751582910.30031547165.3

    19700.168616.861.168628.230760965.09896614333.947129274126.364.156832680728.230760964.54637148554.933340202715.580645113824.86612748025.3

    19710.08728.721.087233.16695321025.89593583124.627859588930.394.519308490533.16695321024.64877335265.06985689048.360558385528.64334423145.3

    19720.05165.161.051638.6381229546.75212626194.588145038134.544.752504808638.6381229544.63387240025.06419062315.031281387432.66969203345.3

    19730.04614.611.046138.73095506236.76641868244.88981394334.614.971595280338.73095506234.6343425984.95100764154.506896336832.73662964055.3

    19740.05695.691.056947.71785855878.11516130945.054986305641.045.254479051747.71785855874.64067089074.94328096175.534009503339.01339072675.3

    19750.07837.831.078336.30341167546.39013139885.742578074632.015.665904761436.30341167544.5731457564.77645161187.538572690630.97131830355.3

    19760.128712.871.128741.50631048387.19021981656.541112437536.166.395106704241.50631048384.78157348585.236481537112.106652797934.7174127165.3

    19770.01411.411.014136.46020298756.41459649196.58322776532.416.485277708836.46020298754.80823482225.18989027931.400151963631.08628329225.3

    19780.03493.491.034934.99920090986.18575017246.475688591431.296.711613900834.99920090984.60175813085.24862309993.430480369230.00986732465.3

    19790.04094.091.040932.95550026215.86228447386.982792833529.696.986118909432.95550026214.42715365374.69184410564.008572353928.48443017525.3

    19800.03913.911.039128.12209990025.08114820655.73361416925.777.259276158728.12209990024.16496651283.25865616473.835495387624.78135287235.3

    19810.09459.451.094524.23995600314.43648773165.804395356822.357.945277755724.23995600314.21722018073.33906989719.029763798121.70446387245.3

    19820.29129.11.29158.16367537729.60272443397.996896691750.0410.257353582658.16367537726.79370023598.048951967725.541711186545.84602309535.3

    19830.07417.411.074164.154607906710.42073042068.282538270553.9611.017423483164.15460790676.69968074657.95662302747.148310162249.56385288835.3

    19840.140214.021.140279.814664170712.45144001869.107132364263.8912.562066255479.81466417076.85641390088.062185807813.120368561558.67564909595.3

    19850.203320.331.2033108.229222785715.79994033510.310428757480.3115.1159343251108.22922278577.27850901098.739530625618.506778246273.34693195445.3

    19860.151415.141.1514119.054478862916.97967958510.53029843368617.404486782119.05447886297.38586951028.833783950814.09785932678.41502748235.3

    19870.0292.91.02974.598806157911.791363697410.691634866559.817.909216898774.59880615797.29320337898.66816166592.858745685255.73206198115.3

    19880.0616.11.06172.469354188211.517336325310.9676787758.4919.001679129572.46935418827.25303194328.45409466875.921185963254.50493778215.3

    19890.132913.291.132971.365138887811.374173825311.911510701757.7621.527002285871.36513888786.94160750388.08131899312.478071689753.86264091035.3

    19900.09739.731.097356.26939823959.338922049812.523067189247.1623.621579608256.26939823956.73002219057.61698693719.285261701544.64112436555.3

    19910.154615.461.154656.70370610339.399630098313.126184747947.4827.273475815656.70370610336.8687472817.564864396214.375396364544.9186614045.3

    19920.07197.191.071963.236834375210.296982907111.041659438751.7729.234438726763.23683437526.81447600025.34202635296.943277471549.00319319045.3

    19930.112411.241.112471.14482050811.345521082511.431395588856.9132.520389639671.1448205086.71430905255.178322336610.651984337853.7339915655.3

    1994-0.0514-5.140.948643.30300709147.4610453049.400114895438.4830.848841612243.30300709147.47641899937.2777945377-5.276806553935.97911332145.3

    19950.16816.81.16852.53614534118.81143892899.07486162845.5536.03144700352.53614534117.6388187816.768612938515.529288440642.22314006055.3

    19960.0212.11.02134.88602493796.16794012997.771672430732.1936.788107390134.88602493797.79929072356.76839887522.078253918329.92599761435.3

    19970.08388.381.083836.38350016576.40263089988.332308946333.3839.870950789336.38350016577.57595606266.53022077228.04733841531.03005855775.3

    19980.102110.211.102135.1206899796.2048551258.744815671332.3543.941774864935.1206899797.43136983556.49055416239.721745071530.09981929155.3

    1999-0.0295-2.950.970538.2401745996.69077128627.07521565134.5442.645492506438.2401745997.88329364447.2630477227-2.994387637332.38223820815.3

    20000.140714.071.140735.00904723046.1872990837.491361556131.8148.645713302135.00904723047.81533868017.548317251813.164210905230.01716067265.3

    5.46786666675.31589617231.27268468795.34606194415.342813845327.20126760565.179418255725.7637447437

    5.823734590223.93570575293.56980389483.28411627518.19324756455.352190080816.6528697723

    5.59293791615.4402535211

    5 rs STDEV ved kvadrat av 513.022266426575.9049493327

    5 rs STDEV ved Ibbotsen16.161862242552.0345875763

    5 rs STDEV ved artimetisk18.1932475645

    5 rs STDEV ved geometrisk23.9357057529

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    Obligasjonsavkastning over 10 rsperioder

    Gj.snitt (1926-2000)

    rlig obligasjonsavkastning

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    Volatilitet (10 rs perioder)

    Volatilitet (20 rs perioder)

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    Volatilitet (10 rs perioder)

    Avkastning (10 rs perioder)

    yearstocksyearbonds-LTyearinflationyearbonds-MTyearTreasuryreal-aksjereal-oblig

    19260.116219260.07771926-0.014919260.053819260.03270.13308293570.0697391128

    19270.374919270.08931927-0.020819270.045219270.03120.40410539220.0674019608

    19280.436119280.0011928-0.009719280.009219280.03560.45016661620.0190851257cor(stock,infl)-0.0305323371

    1929-0.084219290.034219290.00219290.060119290.0475-0.08602794410.0579840319cor(bond,infl)0.0139321744

    1930-0.24919300.04661930-0.060319300.067219300.0241-0.20080876880.1356816005

    1931-0.43341931-0.05311931-0.09521931-0.023219310.0107-0.37378426170.0795755968

    1932-0.081919320.16841932-0.10319320.088119320.00960.0235228540.2130434783

    19330.53991933-0.000719330.005119330.018319330.0030.53208635960.0131330216

    1934-0.014419340.100319340.020319340.0919340.0016-0.0340096050.0683132412

    19350.476719350.049819350.029919350.070119350.00170.4338285270.0390329158-0.0136721237

    19360.339219360.075219360.012119360.030619360.00180.32318940820.0182788262-0.0444036123

    1937-0.350319370.002319370.03119370.015619370.0031-0.3698351115-0.01493695440.0594318234

    19380.311219380.05531938-0.027819380.06231938-0.00020.34869368440.0926764040.2243236818

    1939-0.004119390.05941939-0.004819390.045219390.00020.00070337620.05024115760.2437219173

    1940-0.097819400.060919400.009619400.029619400-0.10637876390.01980982570.3427120568

    1941-0.115919410.009319410.097219410.00519410.0006-0.1942216551-0.08403208170.1210025748

    19420.203419420.032219420.092919420.019419420.00270.1011071461-0.06725226460.2354157128

    19430.25919430.020819430.031619430.028119430.00350.2204342769-0.00339278790.3884502027

    19440.197519440.028119440.021119440.01819440.00330.1727548722-0.00303594160.6138727457

    19450.364419450.107319450.022519450.022219450.00330.3343765281-0.00029339850.3710428610.0710992242

    1946-0.08071946-0.00119460.181619460.0119460.0035-0.2219871361-0.14522681110.41532952930.0987431268

    19470.05711947-0.026219470.090119470.009119470.005-0.0302724521-0.07430510960.38889105350.0865516082

    19480.05519480.03419480.027119480.018519480.00810.0271638594-0.00837308930.1573627050.1530167085

    19490.187919490.06451949-0.01819490.023219490.0110.20967413440.04195519350.46582606070.1768118634

    19500.317119500.000619500.057919500.00719500.0120.2450137064-0.04811418850.56850585860.2357775449

    19510.24021951-0.039319510.058719510.003619510.01490.1714366676-0.05204496080.24704123090.003649728

    19520.183719520.011619520.008819520.016319520.01660.17337430610.00743457570.24129786720.1399766679

    1953-0.009919530.036419530.006219530.032319530.0182-0.01600079510.0259391771-0.15479151680.1853225481

    19540.526219540.07191954-0.00519540.026819540.00860.53386934670.0319597990.1230292060.3601995311

    19550.31561955-0.012919550.00371955-0.006519550.01570.3107502242-0.0101623991-0.11795936150.0989002472

    19560.06561956-0.055919560.02861956-0.004219560.02460.035971223-0.0318880031-0.05318937890.0899673147

    1957-0.107819570.074619570.030219570.078419570.0314-0.13395457190.0467870316-0.496948758-0.1523051952

    19580.43361958-0.060919580.01761958-0.012919580.01540.4088050314-0.0299724843-0.5885620444-0.3809428932

    19590.11961959-0.022619590.0151959-0.003919590.02950.1030541872-0.0186206897-0.5286297093-0.3230036782

    19600.004719600.137819600.014819600.117619600.0266-0.00995270.1013007489-0.548126633-0.3394100717

    19610.268919610.009719610.006719610.018519610.02130.26045495180.0117214662-0.5430401807-0.4136974776

    1962-0.087319620.068919620.012219620.055619620.0273-0.09830073110.0428769018-0.5721177351-0.4609621145

    19630.22819630.012119630.016519630.016419630.03120.2080668962-0.0000983768-0.5910171608-0.471498946

    19640.164819640.035119640.011919640.040419640.03540.15110188750.0281648384-0.7029994533-0.4663969415

    19650.124519650.007119650.019219650.010219650.03930.1033163265-0.0088304553-0.6597153324-0.4756172319

    1966-0.100619660.036519660.033519660.046919660.0476-0.12975326560.0129656507-0.7060156321-0.5541862503

    19670.23981967-0.091819670.030419670.010119670.04210.2032220497-0.019701087-0.6671980472-0.5824770642

    19680.11061968-0.002619680.047219680.045419680.05210.0605423988-0.0017188694-0.5802047216-0.5980703963

    1969-0.0851969-0.050719690.06111969-0.007419690.0658-0.1376873056-0.0645556498-0.3292221866-0.4835750591

    19700.040119700.121119700.054919700.168619700.0652-0.01402976590.1077827282-0.2326796977-0.4197358018

    19710.143119710.132319710.033619710.087219710.04390.10594040250.0518575851-0.1256545691-0.3886734831

    19720.189819720.056919720.034119720.051619720.03840.15056570930.0169229282-0.1004798313-0.376604266

    1973-0.14661973-0.011119730.08819730.046119730.0693-0.215625-0.0385110294-0.0067906626-0.3774116384

    1974-0.264719740.043519740.12219740.056919740.08-0.3446524064-0.0580213904-0.0150165807-0.3947830233

    19750.37219750.09219750.070119750.078319750.0580.28212316610.00766283520.124957826-0.2534699674

    19760.238419760.167519760.048119760.128719760.05080.18156664440.07690105910.2077982015-0.1745952628

    1977-0.07181977-0.006919770.067719770.014119770.0512-0.1306546783-0.05020136740.4004295264-0.1047302674

    19780.06561978-0.011819780.090319780.034919780.0718-0.0226543153-0.05081170320.40651097890.0319463678

    19790.18441979-0.012319790.133119790.040919790.10380.045274027-0.08136969380.28077259150.0407441165

    19800.32421980-0.039519800.12419800.039119800.11240.178113879-0.07553380780.36258795590.0617674429

    1981-0.049119810.018619810.089419810.094519810.1471-0.12713420230.0046814760.24161589390.0606375378

    19820.214119820.403619820.038719820.29119820.10540.16886492730.24289977860.29614571950.1696858981

    19830.225119830.006519830.03819830.074119830.0880.18025048170.034778420.24477443120.2076341501

    19840.062719840.154819840.039519840.140219840.09850.02231842230.09687349690.16513226690.2035286049

    19850.321619850.309719850.037719850.203319850.07720.27358581480.15958369470.35716009230.3085416206

    19860.184719860.245319860.011319860.151419860.06160.1714624740.13853455950.35701126730.3026024925

    19870.05231987-0.027119870.044119870.02919870.05470.0078536539-0.01446221630.27555298710.3684246798

    19880.168119880.096719880.044219880.06119880.06350.118655430.01608887190.20744633180.3625244172

    19890.314919890.181119890.046519890.132919890.08370.25647396080.08256091730.23341901420.3234258991

    1990-0.031719900.061819900.061119900.097319900.0781-0.08745641320.03411554050.44715955190.3556041364

    19910.305519910.19319910.030619910.154619910.0560.26673782260.12031826120.44003999480.3860592531

    19920.076719920.080519920.02919920.071919920.03510.04635568510.04169096210.57755162830.4069930341

    19930.099919930.182419930.027519930.112419930.0290.07046228710.08262773720.64029351960.3705458788

    19940.01311994-0.07719940.02671994-0.051419940.039-0.0132463232-0.07606895880.73338259350.4139623215

    19950.374319950.316719950.025419950.16819950.0560.34025746050.13906768090.71541405970.5042612804

    19960.23071996-0.009319960.032219960.02119960.05210.1923076923-0.01085061030.63031432940.4523529623

    19970.333619970.158519970.01719970.083819970.05260.31130776790.06568338250.5604746340.3715751638

    19980.285819980.130619980.016119980.102119980.04860.26542663120.08463733880.56051730460.3418779703

    19990.211999-0.02519990.0261999-0.029519990.0470.179337232-0.05409356730.43525731710.3054721511

    2000-0.09620000.13520000.03720000.140720000.059-0.12825458050.10.25479259520.2766523673

    stocksbonds-LTinflationbonds-MTTreasury

    Mean0.1300.0570.0320.0550.039

    Standard Error0.0230.0110.0050.0070.004

    Median0.1650.0360.0290.0410.035

    Mode0.0660.0610.0450.031

    Standard Deviation0.2020.0920.0440.0580.032

    Sample Variance0.0410.0080.0020.0030.001

    Kurtosis-0.0542.6392.7432.8570.773

    Skewness-0.3441.3750.1971.3620.905

    Range0.9730.4950.2850.3420.147

    Minimum-0.433-0.092-0.103-0.051-0.000

    Maximum0.5400.4040.1820.2910.147

    Sum9.7304.2692.3794.1012.896

    Count75.00075.00075.00075.00075.000

    Confidence Level(95.0%)0.0460.0210.0100.0130.007

    year5 r5 r5 r5 r

    1926geomgeomlnln

    1927obligaksjeobligaksje

    1928

    1929

    193025.755644758351.578773462822.917051071841.5935260681

    193116.5668189409-23.056322304215.329447574-26.2096490277

    193221.3512779273-48.620270206919.351927705-66.5926453311

    193322.445507643-44.906590134220.2495909461-59.6140080143

    193425.8990692679-40.707507355623.0310362405-52.2687487587

    193526.241186303916.587515163823.302406827715.3472008129

    193633.194273756175.563007955128.6638581374101.3646120468

    193724.319551903895.004124026221.768509624866.7850521204

    193829.691309032266.042864746525.998689485650.70757904

    193924.360877248167.778093548121.801745327951.7472048558

    194019.65419980812.505177760617.94357285282.4743126053

    194116.6820015594-32.329131079615.4282113127-39.0514395271

    194217.118582502625.342656085615.801676120322.5881049629

    194313.348032261120.352657116912.529283096518.5256056244

    194410.39829395544.71564102579.892449442936.9600534591

    19459.6048330233118.85393550829.171128448278.3234360161

    194610.1501307001127.56749565979.667407382482.2276692619

    19479.037175681299.9016118188.651869938869.2655118608

    19488.019028724267.51088202397.713721750751.5878130473

    19498.57079586566.16799729118.223227066150.7829122484

    19506.956360238860.40740928776.725071704547.2546700944

    19516.278616966116.40081474896.089392170277.196212599

    19527.0369224284142.3173251526.800365837588.5077942176

    19538.4872017897127.41079017358.14620241882.1587844394

    19548.8689003105192.17471837938.4974222912107.2181787954

    19557.4093867512191.84197061717.1477392186107.1042273264

    19566.5745987713150.75536517476.367501190291.9307637134

    195713.08673355889.003917216212.298489191663.6597554869

    19588.1351493704173.66530221317.8211641868100.6735648961

    19594.9020474171100.75722209264.785684702269.6926141746

    196018.005564361753.314670900316.556159297342.73222959

    196120.695588775282.564739025418.810139443260.1934658517

    196218.143790347886.759512786916.673225890362.4651575345

    196321.650641788659.975363910619.598315892546.9849641832

    196427.060865090766.433819116723.949603834950.9427561633

    196514.85047057586.279316807813.84608404462.2077064564

    196618.052977560132.035319991316.596330009827.7899276498

    196712.964487148179.355088994412.190331030458.4197392243

    196816.187598253262.208275111715.003592513748.3710972343

    196910.849490605727.421507320710.300315471624.2330360176

    197028.2307609617.857812151424.866127480216.4308730136

    197133.166953210249.792378330328.643344231440.4080004831

    197238.63812295443.751388721932.669692033436.2915154317

    197338.730955062310.460503453432.73662964059.9487836263

    197447.7178585587-11.233215093739.0133907267-11.915764981

    197536.303411675417.092615028830.971318303515.7795017117

    197641.506310483826.854601042434.71741271623.787137092

    197736.4602029875-1.036778712731.0862832922-1.0421907026

    197834.999200909823.57066862430.009867324621.1643022006

    197932.955500262199.044063536328.484430175268.8356039031

    198028.122099900292.109437999124.781352872365.2895013236

    198124.239956003147.51038807621.704463872438.8728414946

    198258.163675377292.945876064645.846023095365.7239528689

    198364.1546079067121.826194413249.563852888379.6723981203

    198479.814664170799.033009796458.675649095968.8300503354

    1985108.229222785798.64221850773.346931954468.633512363

    1986119.0544788629147.482843900878.415027482390.6171076045

    198774.5988061579114.501438626855.732061981176.3146259242

    198872.4693541882104.521370059554.504937782171.5502283104

    198971.3651388878153.058388530453.862640910392.8450060818

    199056.269398239585.408926766144.641124365561.7393614669

    199156.7037061033104.314471083944.91866140471.4490145847

    199263.2368343752109.051972836749.003193190473.7412708922

    199371.14482050896.846387229753.73399156567.7253478324

    199443.303007091451.665582859935.979113321441.650779829

    199552.5361453411115.257678946942.223140060576.6665631234

    199634.8860249379102.924263102329.925997614370.7662635273

    199736.3835001657151.341875427931.030058557792.1643879888

    199835.120689979193.822514251430.0998192915107.7805706032

    199938.240174599250.928084339432.3822382081125.5411128563

    200035.0090472304130.83678108330.148405022430.017160672683.65406993950.1325820681

    31.272684687978.550969043925.763744743751.0872743362

    23.935705752961.232753459816.652869772339.7620152432

    5 rs STDEV ved kvadrat av 5

    5 rs STDEV ved Ibbotsen

    5 rs STDEV ved artimetisk

    5 rs STDEV ved geometrisk

    yearstocks5 r5 r5 r1ObligOblig

    19260.116211.621.1162geomgeomartimetisk1.116210.993005937201310 r10 r

    19270.374937.491.3749rlig1.5346633831.8381001201013avkaststdev

    19280.436143.611.43612.2039300836.193110608479.02421666580013

    1929-0.0842-8.420.91582.0183591673-8.795727875959.23548285261013

    1930-0.249-24.90.75151.57877346288.674506752459.41.515787734651.5787734628-28.634962721841.5935260681-1.237579989310113

    1931-0.4334-43.340.5666-23.0563223042-5.10691014654.440.8588453304-23.0563223042-56.8101691586-26.2096490277-94.240859756311113

    1932-0.0819-8.190.9181-48.6202702069-12.469710837-41.240.7885058979-48.6202702069-8.5448961832-66.5926453311-93.990028063611113

    19330.539953.991.5399-44.9065901342-11.239461057-30.861.2142202321-44.906590134243.1717479252-59.6140080143-22.183317416601113Averageaverage

    1934-0.0144-1.440.9856-40.7075073556-9.9258978778-23.881.1967354608-40.7075073556-1.4504686203-52.268748758733.176383121711013bondstocks

    19350.476747.671.476716.58751516383.11703317545.859306242348.691.76721925516.587515163833.499208100138.980986849815.347200812956.940726880980.70226615470000134.73042249243.63222857824.4218.82

    19360.339233.921.3392175.563007955122.47407930467.8051196009125.952.3666600262175.563007955134.29205299929.2072420753101.364612046875.15496301966.73776030480000134.49753594983.66416642034.4218.82

    1937-0.3503-35.030.649795.004124026214.29013855610.019242530199.111.53761901995.004124026236.1637731715-43.124456109666.78505212040.192406789325.06377281551000134.19775909883.78496440614.4218.82

    19380.311231.121.311266.042864746510.67360168-0.886688422476.242.016126057866.042864746534.906140752327.094274844750.70757904-8.906428974413.17706081050010134.73344113193.63378116514.4218.82

    1939-0.0041-0.410.995967.778093548110.903959


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