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AIN SHAMS UNIVERSITYFACULTY OF ENGINEERINGNew P h Engineering (Freshmen) -Fall 2009Engi Economics (HUMN240)
2. Find the numerical value of the following factors by (a) interpolationand (b) using the appropriate formula:
1XF/P,6yo,23). ii) (P/A,16.3%,15) iii) (P/ G,12.7yo,20)((iu)Iayc,23o ,3o)t.R\-,- \.-/
3. How much money could you afford to spend in lieu of spending
$40,000 five years from now if the interest rate 12Yo per year.
4. What is the future worth in25 years of$ 3000 at t : 0, $ 7500 att: 4
years, and $ 5200 at t : 12 years if the interest rate is 1.5o/o pet year.
+, 5. If you are paying,g{f a loan of $10,000 by making equal year-end
payments for 5 years, how much principle reduction will you get in (a)
the second payrnent and (b) the last payment if the interest rate on the
loan is 77Yo per year.
6. The receipts from certain mineral rights have been following a
decreasing gradient for the past 4 years. The first receipt was $10,500 and
the second one was $9800. (a) In how many years from now will theincome stream go to zero? (b) What is the future worth (in the last year
money is received) of the remaining series of receipts at an interest rate ofllo/o per year.
or the cash flow shown below, determine the value G that will makebquivalent annual worth equal to $800 at an interest rate of 20o/o per
present value uSing interffra? I6o/op.t ytEil- -
ear.
Year 0 I
. Cash Flow 0 $200 2
Then find the value of G if the future worth (4 ),ears) of the cash flow is$3000 at interest rate of lSoh per year.
8. Calculate the present worth of a geoiiietric series of payments whereinthe amount in year 1 is 500 and each succeeding amount increases byl\Yo per year. Use an interest rate I 5o/o per year and a 7 -yeat time period.
2 J 4
G 200 +LG 200+3G
5-5f5
x 5.57t 5.3t+-5.s76
l6t
\"32+X- -0.07 E: -E.LZ i = 5 .?97
(l .lt\ ((
iil Q19 t? tt1 ,20)
tZ r ,7o.6xDt?.7 -tt - l-+o'l?q
-- l?'l --------* ++-gds - 12-t3 ++'1 ea-"-o-'f8E
j = (o:Xt-1$): tp-6il : *t.1627
7-1 T;;U" ) =
uL 1a/q,Lj'1,3dLo :--- +.87),,-.1 23-20
^^?.tr7329 : 3 q(\ ': :" s'q{\ +'w?
)r,. a( -osl =*,ezl . W5
( t 11 \- t
\ i ItTl )'-am- - J9-- - 4,1s1 S(l.ziltu -r
zzdg6lD -- +oc aq|L'ltrt?t/\) =
1c0ool 4.str+)
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PACEDATE
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