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Page 1: UM_Macro_Ordner

UNISEMINAR

Page 2: UM_Macro_Ordner
Page 3: UM_Macro_Ordner

Theory

Practice

Exams

Extras

Sem

inar

Page 4: UM_Macro_Ordner

       

 Introduction  

   

Macroeconomics  Academic  Year  2012/2013,  Block  3  

       

   

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Uniseminar  –  Macroeconomics                                    Introduction  

Welcome  to  Uniseminar!    

IInnttrroodduuccttiioonn  

Uniseminar   offers   EExxaamm     PPrreeppaarraattiioonn     SSeemmiinnaarrss,,     SSuummmmaarryy     SSccrriippttss     aanndd    

LLeeaarrnniinngg     CCaarrddss     for  students  of  the  Maastricht  University.  It  is  our  goal  to  op-­‐

timally  prepare  you  for  your  exams  and  to  make  your  own  exam  preparation  as  

efficient  as  possible.  In  order  to  achieve  this  goal,  we  have  developed  a  system  of  

seminars  in  combination  with  an  extensive  summary  script,  which  is  proven  for  

several  years  by  now.  

In   university   it   is   often   the   case   that   there   is   a   lot   of   material   available   for   a  

course  and  that  the  importance  of  this  material  is  hard  to  evaluate.  Since  we,  as  

students,  have  made  this  experience  as  well,  you  are  provided  with  a  Uniseminar  

Summary   Script   of   the   corresponding   course.   This   folder   contains   all   exam-­‐

relevant  material  and  it  gives  you  a  good  summary  of  all  course  topics.  The  con-­‐

tent   of   the   folder   is   created  by   experienced  Master   or  PhD   students,  who  have  

taught  this  course  already  several  times.  As  a  consequence,  it  is  possible  for  you  

to   concentrate   on   the   actual   exam   preparation,   rather   than   spending   hours  

searching  and  printing  the  right  material.  

At   the   end   of   week   6   of   your   block,   normally   during   the  weekend,   our   EExxaamm    

PPrreeppaarraattiioonn     SSeemmiinnaarrss   take   place.   These   seminars   are   taught   by   above-­‐

average   students,   who   have   already   mastered   their   studies   at   the   Maastricht  

University  and  have  a  great  deal  of  experience  in  tutoring.  Since  they  have  stud-­‐

ied   and   taught   at   the  Maastricht  University   they   know   exactly  where   potential  

problems  may  lie  and  are  therefore  able  to  optimally  teach  you  the  whole  theory  

of  the  course  and  practice  perfectly  tailored  examples  with  you.  Furthermore  you  

can  bring  in  your  own  questions  during  the  seminar  and  discuss  individual  prob-­‐

lems  during  the  breaks.  

You   are   able   to   pick   up   your   SSuummmmaarryy     SSccrriipptt     aanndd     LLeeaarrnniinngg     CCaarrddss   in   ad-­‐

vance  of  the  Seminar  in  order  to  already  start  preparing  so  that  you  can  discover  

your  own  difficulties  early  enough.  Later  in  the  Seminar  you  will  then  know  what  

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Introduction                                          Uniseminar  –  Macroeconomics  

your  weaknesses  are  and  be  able  to  pay  special  attention  to  these  sections  or  ask  

questions   about   it.  Our   Summary   Script   and  Learning  Cards   are  updated   every  

year  according  to  the  current  course’s  content  and  we  are  always  trying  to  opti-­‐

mize  the  folder  as  much  as  possible.  

     

AAbboouutt    UUss    

Uniseminar  was  by  two  students  at  the  University  of  St.  Gallen  in  order  to  make  

Exam  Preparation  more  efficient  and  coherent.  Since  2005  we  have  expanded  our  

vision  and  are  now  offering  seminars  and  material  for  an  efficient  exam  prepara-­‐

tion  in  Switzerland,  the  Netherlands,  Italy  and  Germany.  

Thanks  to  this  longstanding  experience,  we  were  able  to  build  up  a  team  of  highly  

qualified   tutors  and  editors  and  are   therefore  able   to  guarantee  high  quality  of  

exam  preparation.  

The  team  of  Uniseminar  is  grown  strongly  over  the  years  and  comprehends  sev-­‐

eral  mathematicians,  statisticians  and  economists,  who  all  bring  a  great  didactical  

experience.  All  tutors  of  Uniseminar  have  been  teaching  their  field  for  years  and  

know  exactly  what  is  important  in  order  to  optimally  prepare  and  pass  the  exam.  

 

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Uniseminar  –  Macroeconomics                                    Introduction  

SSuummmmaarryy    SSccrriipptt    This  aim  of  this  folder  is  to  support  you  with  your  exam  preparation  for  ‘Macroe-­‐

conomics’   as  much   as   possible.   Usually   it   consists   of   five   different   sections.   As  

follows,  a  short  overview  of  the  content  of  this  folder:  

 

11.. TThheeoorryy::    The  Theory  Script  summarizes  the  whole  theory  of  the  course  in  

a  simple  and  understandable  way.  Concepts  are  explained  with  the  help  of  

demonstrative  examples.   It   is  structured  according  to  the  seven  weeks  of  

the  course  and  is  one  of  the  most   important  parts  of  your  exam  prepara-­‐

tion.      

2. EExxaammss::   In  this  part  you  will   find  old  exams  of  the  Maastricht  University,  

with   extensive   answer   keys   by  Uniseminar.   During   the   seminar   you  will  

then  receive  a  further  practice  exam.  

3. EExxttrraass::     In  the  Extras  part,  you  will  find  a  formula  sheet  as  well  as  a  glos-­‐

sary  that  contains  all  the  important  definitions  you  should  know.  

4. SSeemmiinnaarr::     In  this  part,  we  have  provided  you  with  some  notepaper  so  that  

you   can   take   notes   during   the   seminar.   Furthermore   you   will   receive   a  

fourth  practice  exam  during  the  seminar,  which  you  can  file  in  here.  In  case  

you  have  not  subscribed  for  the  Macroeconomics  seminar  yet,  you  can  do  

so  on  our  website  -­‐  www.uniseminar.nl  -­‐  at  any  time.  

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Introduction                                          Uniseminar  –  Macroeconomics  

MMaaccrrooeeccoonnoommiiccss  

The  Macroeconomics  exam  you  are  facing  will  consist  of  two  parts:  a  closed  part  

and  an  open  part.  The  closed  part  consists  of  70  multiple-­‐choice  questions.  The  

open   part   consists   of   several   questions,   where   you   have   to   apply   the   theory  

you’ve  learned  to  actual  problems.  These  actual  problems  are  similar  to  the  ones,  

which  were  discussed  during  the  analytical  skills  training.  The  closed  part  counts  

for   70  points,   the   open   for  30.   In  Macroeconomics   it   is   crucial   that   you  under-­‐

stand  the  theory  behind  the  models.  Therefore  you  should  first  of  all  focus  on  the  

understanding  of  the  theory,  before  starting  with  calculations.  

   

HHiinnttss    aanndd    TTrriicckkss    

Here  are  some  tips  that  may  be  helpful  for  your  exam  preparation.  Many  students  

make  typical  errors  when  preparing  for  their  first  exams  at  university.  We  there-­‐

fore  want  to  help  you  to  avoid  these  mistakes,  so  that  you  can  focus  on  the  essen-­‐

tial  stuff,  rather  than  wasting  your  time  with  a  preparation  into  the  wrong  direc-­‐

tion!  

   

HHooww    ddoo    II    ooppttiimmaallllyy    pprreeppaarree    ffoorr    aann    eexxaamm??    

The  exams  of  the  university  are  created  in  such  a  way  that  every  student  can  pass  them  

with   an   average   preparation   time.   Since   there   is   a   lot   of   content   and   time   is   limited,  

planning  is  the  basis  of  your  success.  You  don’t  need  to  be  a  genius  to  pass  the  exam,  but  

you  should  still   take  care  of  a   few  things  and  try  to  develop  a  certain  discipline   in  the  

following  weeks.  The  subsequent  hints  may  be  helpful  for  you:  

 

TTaakkee    yyoouurr    ttiimmee!!    

It   is   totally  normal   that  you  will  be  slower   in  solving  exercises   in   the  be-­‐

ginning.  You  can  be  sure  that  you  will  improve  your  efficiency  and  velocity  

after  some  practice,  however  you  should  start  preparing  for  the  exam  early  

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Theory

Practice

Exams

Extras

Sem

inar

T

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 Theory  

   

Macroeconomics  Academic  Year  2012/2013,  Block  3  

       

   

   

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Theory                                    Uniseminar  –  Macroeconomics  

TThheeoorryy    

The  Theory   Script   summarizes   the  whole   theory   of   the   course   in   a   simple   and  

understandable   way.   Concepts   are   explained   with   the   help   of   demonstrative  

examples.  It  is  structured  according  to  the  seven  weeks  of  the  course  and  is  one  

of  the  most  important  parts  of  your  exam  preparation.  Although  practice  is  very  

important,  it  is  even  more  crucial  to  understand  the  basic  concepts  of  the  course  

in  order  to  be  able  to  calculate  and  understand  all  different  kinds  of  exercises  and  

exam  questions.    

   

TTaabbllee    ooff    CCoonntteennttss        

11     TThhee    sshhoorrtt-­‐-­‐rruunn     11    

1.1    The  goods  market   1  

1.2    The  money  market   5  

1.3    The  IS-­‐LM  model   7  

 

22     TThhee    mmeeddiiuumm-­‐-­‐rruunn     1122    

2.1    Wage  setting,  price  setting  and  unemployment   12  

2.2    The  AS-­‐AD  model   17  

2.3    The  Philip’s  curve  and  Okun’s  law   23  

 

33     TThhee     lloonngg-­‐-­‐rruunn     2277    

3.1    Solow  Economy   27  

 

44     EEccoonnoommiicc    PPoolliiccyy     3333    

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Theory                          Uniseminar  –  Macroeconomics    

12  

22     TThhee    mmeeddiiuumm-­‐-­‐rruunn    

22..11     WWaaggee    sseettttiinngg,,    pprriiccee    sseettttiinngg    aanndd    uunneemmppllooyymmeenntt::    

   

TThhee    wwaaggee    sseettttiinngg    eeqquuaattiioonn::    

𝑾𝑾 = 𝑷𝑷𝒆𝒆𝒇𝒇(𝒖𝒖⊖, 𝒛𝒛⊕)    

The  wage  demanded  by  the  workers  will  depend  on  the  expected  price  level,  the  

unemployment   rate   and   a   catchall   variable   called   z.   The   role   of   the   price   level  

should  be  obvious  because  no  one  cares  about  the  nominal  value  of  his  wage  but  

of  the  value  of  his  wage  in  term  of  goods.  If  wage  setters  expect  a  strong  increase  

in  the  price  of  goods  they  will  also  bargain  a  higher  wage  to  keep  the  amount  of  

goods  they  are  able  to  buy  constant.  In  this  case  it  is  not  the  real  price  level  but  

the   expected   price   level   instead   because   it   is   assumed   that  wages   are   fixed   in  

advance   and   therefore   wage   setters   need   to   include   their   expectations   of   the  

future  price  level.  The  other  part  of  the  wage  is  a  function  of  the  unemployment  

rate  and  the  catchall  variable.  The  unemployment  rate  is  negatively  related  to  the  

wage  because  higher  unemployment  means  that  many  workers  are  looking  for  a  

job.  Such  competition  for  jobs  decreases  the  wages.  On  the  other  hand  if  there  are  

only   very   few   unemployed   people   firms   may   want   to   hold   their   employees  

because  it  will  be  hard  for  them  to  find  replacement.  This  will  therefore  increase  

the  wage.  The  last  term,  the  catchall  variable  is  defined  to  be  positively  related  to  

wage.  It  measures  all  other  terms,  which  will  be  important  in  the  determination  

of   wages,   e.g.   unemployment   benefits.   Obviously   unemployment   benefits   will  

tend   to   increase   the   reservation  wage   (the  minimum  wage   necessary   to  make  

someone  take  a  job  instead  of  not  working)  and  thereby  also  the  general  wage.  

   

TThhee    pprriiccee    sseettttiinngg    eeqquuaattiioonn::    

𝑷𝑷 = 𝟏𝟏+ 𝝁𝝁 𝑾𝑾    

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Uniseminar  –  Macroeconomics                                                                Theory  

13  

This  equation  defines  how  firms  set  the  price  of  their  products.  It  depends  on  two  

things:   The   price   of   the   inputs   of   the   firm   and   the   mark-­‐up   of   the   firm.   For  

simplification   a   one   input   production   function   is   assumed,   which   means   that  

production   only   relies   on   labour.   Hence   capital   or   other   products   inputs   are  

ignored.   Additionally   it   is   assumed,   that   one   worker   produces   exactly   one  

product,   so   that   the  wage  would  be  equal   to   the  price   if   the  mark-­‐up  was  zero.  

Obviously  prices  of  the  product  and  the  price  of  the  only  input,  namely  the  wage,  

are  positively  correlated.  Hence  a  wage  increase  increases  the  costs  of  the  firms  

and   is   then   followed   by   an   increase   in   the   price   of   the   products   of   the   firms.  

Finally,   the  mark-­‐up   term  puts  a  wedge  between   the  costs  of   the   firms  and   the  

price  they  ask.  In  a  perfectly  competitive  market,  this  mark-­‐up  would  be  equal  to  

zero,  however,  as  soon  as  competition  decreases  firms  may  be  able  to  ask  a  mark-­‐

up  and  thereby  make  a  profit.    

   

EEqquuiilliibbrriiuumm    rreeaall    wwaaggee    aanndd    uunneemmppllooyymmeenntt::    

To  plot  the  wage  and  price  setting  equations   in  a  space  with  unemployment  on  

the   x-­‐axis   and   the   real  wage  W/P  on   the   y-­‐axis   a   bit   of   rewriting   is   necessary.  

Assuming  that  wage  setters  hit  the  target  and  expect  the  price  level  correctly  the  

wage  setting  equation  can  be  rewritten  as  follows:  

𝑾𝑾 = 𝑷𝑷𝑷𝑷(𝒖𝒖⊖, 𝒛𝒛⊕)             ||    Dividing  both  sides  by  P  

𝑾𝑾𝑷𝑷= 𝒇𝒇(𝒖𝒖⊖, 𝒛𝒛⊕)    

This  expression  gives  us  the  real  wage  as  a  function  of  u  and  z.  Without  knowing  

the  exact   function   it   is   clear   that  an   increase   in  u  will   lead   to  a  decrease   in   the  

real  wage  since  the  two  are  negatively  related.  The  following  steps  are  necessary  

to  rewrite  the  price  setting  equation  also  in  terms  of  the  real  wage:  

𝑷𝑷 = 𝟏𝟏 + 𝝁𝝁 𝑾𝑾                 ||    Dividing  both  sides  by  W  and  taking  the  inverse  

𝑾𝑾𝑷𝑷= 𝟏𝟏

𝟏𝟏 𝝁𝝁        

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Theory                          Uniseminar  –  Macroeconomics    

14  

By   checking   the   rewritten   form   of   the  

price  setting  equation  we  realize  that  the  

real  wage  is  always  equal  to  one  divided  

by   one   plus   the  mark-­‐up.   This   equation  

does   not   depend   on   unemployment.  

Graphing   both   lines   allows   determining  

the   real   wage   and   the   unemployment  

rate.   As   derived   above,   there   is   a  

downwards-­‐sloping   wage   setting   graph,   showing   that   an   increase   in  

unemployment  will  decrease  the  real  wage  earned  and  a  horizontal  price  setting  

curve.  This   curve   is   horizontal   because   the  price   setting  decision  of   firms  does  

not  depend  on  unemployment  and  therefore  the  real  wage  in  this  equation  is  the  

same   for   all   possible   unemployment   rates.   Recap   the   assumption   that   wage  

setter  expected  the  actual  price  level  and  that  therefore  the  graph  shows  the  real  

wage  and  unemployment  in  this  specific  situation  where  P  equals  P .  

   

TThhee    nnaattuurraall    rraattee    ooff    uunneemmppllooyymmeenntt    aanndd    eexxppeeccttaattiioonnss::    

The  concept  of  the  natural  rate  of  unemployment  is  pretty  logical.  As  seen  above,  

whenever  wage   setters   expect   a   price   level,   which   is   equal   to   the   actual   price  

level,  then  the  model  gives  a  level  of  unemployment  at  the  crossing  point  of  the  

two  lines.  This  unemployment  is  referred  to  

as   the   natural   rate   of   unemployment   or  

short   𝑢𝑢 .   Hence,   whenever   the   price   level  

and   the   expected   price   level   are   equal  

unemployment   is   equal   to   its   natural   rate.  

The  situation  is  different   if   the  expectations  

of  the  wage  setters  are  false.  Recap  that  the  

wage  setters  choose  the  expected  price  level  

in  advance  when  they  fix  their  wage  contracts.  The  following  graph  displays  the  

situation   for   a   case   in  which   the   expected   price   level   has   been   too   high   and   is  

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Uniseminar  –  Macroeconomics                                                                Theory  

27  

33     TThhee     lloonngg-­‐-­‐rruunn    

33..11     SSoollooww    EEccoonnoommyy    

TThhee    mmooddeell::    

The  Solow  model  is  a  model,  which  focuses  on  economic  growth  in  the  long  run.  

In   the   previous   analysis   of   the   short   and   the   medium-­‐run   it   was   shown   that  

economic  policies   are   able   to   stimulate   output   for   a   short   time,   but   that   in   the  

medium-­‐run  output  will  be  back  at  its  natural  level.  These  models  are  suitable  for  

the   discussion   of   booms   and   recessions   but   they   do   not   allow   for   sustainable  

economic  growth.  The  Solow  model  will  allow  for  this  type  of  economic  growth.    

At   the   core   of   the   model   is   the   production   function.   Output   depends   on   the  

amount   of   capital   K,   the   amount   of   workers   N   and   the   state   of   technology   A.  

Technology   improves   the   performance   of   workers   and   is   therefore   multiplied  

with  labour.  This  term  is  then  called  effective  labour  or  effective  workers.  

𝑌𝑌 = 𝑓𝑓(𝐾𝐾,𝐴𝐴𝐴𝐴)       |  dividing  both  sides  by  AN   to  get  output  per  effective  

worker  

𝑌𝑌𝐴𝐴𝐴𝐴

= 𝑓𝑓(𝐾𝐾𝐴𝐴𝐴𝐴

, 1)  

It   is   simply   possible   to   drop   the   one   at   the   end   because   it   cannot   change   and  

therefore  does  not  change  the  results  either.    

The  next  step  is  to  think  how  the  capital  stock  of  an  economy  can  change.  Capital  

is  the  result  of  investment.  If  a  company  invests  in  new  machines  or  a  new  plant  

it  increases  its  capital  stock.  Therefore  the  new  capital  that  is  accumulated  each  

year  equals  the  amount  of  investment.  However,  investment  does  not  come  from  

nowhere.   Banks   finance   the   investments   of   companies,   but   also   banks   cannot  

simply  create  money  and  therefore  the  amount  of  investments  (what  banks  lend  

to   companies)   needs   to   equal   the   amount   of   savings   (what   consumers   lend   to  

banks).  

𝐼𝐼 = 𝑆𝑆  

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Individuals   face   two  possibilities  what   they   can  do  with   their  money.  They  can  

either  spend  it  on  consumption  of  save  it.  Therefore  the  amount  of  savings  equals  

total   income   times   the   savings   rate.  Be   sure   that   the   savings   rate   is  between  0  

and  1  and  that  the  consumption  share  equals  1-­‐s.  

𝐼𝐼 = 𝑠𝑠𝑠𝑠         |  plugging  in  the  production  function  for  Y  

𝐼𝐼 = 𝑠𝑠×𝑓𝑓(𝐾𝐾𝐴𝐴𝐴𝐴

)  

The   above   is   true   for   the   accumulation   of   capital,   however,   capital   also  

depreciates.   Think   of   an   old   machine   in   a   factory.   At   some   point   in   time   this  

machine   is   too  old   to  produce  output.  This   is  exactly  what  happens   to   the   total  

capital  stock,  it  depreciates.  Assuming  a  constant  rate  of  depreciation  equal  to  𝛿𝛿,  

the  change  in  capital  is  then  equal  to  the  accumulation  of  new  capital  minus  the  

depreciation  of  old  capital.  

∆𝑲𝑲 = 𝒔𝒔×𝒇𝒇 𝑲𝑲,𝑨𝑨𝑨𝑨 − 𝜹𝜹𝜹𝜹    

This  gives  an  expression  for  the  change  in  capital,  but  the  model   is  built  up  per  

effective  worker  and  therefore  it  is  necessary  to  rewrite  the  equation  a  bit  

∆𝑲𝑲𝑨𝑨𝑨𝑨 = 𝒔𝒔×𝒇𝒇

𝑲𝑲𝑨𝑨𝑨𝑨 − 𝜹𝜹+ 𝒈𝒈𝑵𝑵 + 𝒈𝒈𝑨𝑨

𝑲𝑲𝑨𝑨𝑨𝑨    

The   derivations   needed   to   get   to   this   are   not   included   in   this   block.   Therefore  

make   only   sure   to   understand   this   result   intuitively.   The   change   in   capital   per  

effective  worker  equals  investment  in  capital  per  effective  worker  (note  that  the  

production  function  is  now  also  in  terms  of  effective  labour)  minus  depreciation,  

population   growth   and   technology   growth.   Especially   the   changes   in   the   last  

term  need  an   explanation.  The  depreciation   term  has   the   same   logic   as  before,  

capital  depreciates  at  a  constant  rate  𝛿𝛿  and  this  decreases  both  capital  and  capital  

per   effective   worker.   However,   let’s   think   about   population   and   technology  

growth   for   a   moment.   Both   increase   the   amount   of   effective   workers   and  

therefore   capital   per   effective   worker   would   decrease   since   the   denominator  

increased.   In  order  to  stay  constant  capital  per  effective  worker  has  to   increase  

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by  the  same  proportion  as  population  and  technology  to  make  up  for  this.  Hence  

𝑔𝑔   and   𝑔𝑔   appear   in   the   equation   with   a   negative   sign.   The   first   term   of   the  

equation   is   called   actual   investment   because   it   shows   how   much   is   actually  

invested   to  accumulate   capital.  The  second   term   𝛿𝛿 + 𝑔𝑔 + 𝑔𝑔   is   called  break-­‐

even   investment   because   it   shows   how  much   needs   to   be   invested   in   order   to  

hold  capital  per  effective  worker  constant.  Whenever  actual  investment  is  larger  

than  break-­‐even  investment  the  change  in  capital  per  effective  worker  is  positive  

and  therefore  capital  per  effective  worker  increases.  If  break-­‐even  investment  is  

larger   than   actual   investment,   then   we   find   that   capital   per   effective   worker  

decreases.  

In   order   for   the   economy   to   come   to   a   halt   the   change   in   capital   per   effective  

worker  needs  to  be  equal  to  zero.  If  capital  per  effective  worker  does  not  change  

anymore   output   per   effective  worker   is   also   constant   since   it   only   depends   on  

capital  per  effective  worker.  This  situation   is  called   the  steady  state   in  which   it  

always  holds  that:  

𝒔𝒔×𝒇𝒇𝑲𝑲𝑨𝑨𝑨𝑨 = 𝜹𝜹+ 𝒈𝒈𝑵𝑵 + 𝒈𝒈𝑨𝑨

𝑲𝑲𝑨𝑨𝑨𝑨    

How  the  steady  state   is   reached  becomes  

more   intuitive   if   displayed   in   a   graph.  

Whenever   the   economy   is   in   a   situation  

beneath   its   steady   state   the   actual  

investment   line   is   higher   than   the  break-­‐

even   investment   line.   Therefore   capital  

per   effective   worker   will   increase   until  

the   economy   reaches   its   steady   state.  

Whenever   the   economy   is   above   its  

steady   state,   break-­‐even   investment   is  

larger  and  therefore  capital  per  effective  worker  will  decrease  until  the  economy  

is  back   to   its  steady  state.  This  Solow  model  with   technology   is  a  more  general  

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30  

form   of   the   classic   Solow  model  without   technology   growth.  Whenever  we   set  

technology  level  A  equal  to  one  and  its  growth  rate  to  zero  we  get  the  following  

expression:  

∆𝐾𝐾𝑁𝑁= 𝑠𝑠×𝑓𝑓

𝐾𝐾𝑁𝑁

𝛿𝛿 + 𝑔𝑔𝐾𝐾𝑁𝑁  

This   is   exactly   the   same   what   Blanchard   gets   in   chapter   10   and   11   if   the  

assumption  of  no  population  growths  is  also  included  which  sets  𝑔𝑔  equal  to  zero.  

Therefore   the   classical   Solow   model   is   a   special   case   of   the   Solow   model  

including  technological  growth.  

Additionally   please   note   that   the   approach   taken   here   is   a   very   formal   one  

because   it   does   not   classify   the   production   function.   Whatever   production  

function  is  used  can  simply  be  plugged  into  the  steady  state  condition  of  break-­‐

even   investment   being   equal   to   actual   investment   to   solve   for   the   steady   state  

values  of  K/AN  and  Y/AN.5    

Note   that   in   steady   state   output   and   capital   per   effective  worker   are   constant  

which   does   not  mean   that   output   and   capital   are   constant.   Output   and   capital  

grow  proportionally   to   the  population  and   technology,  which   is   a   condition   for  

output   and   capital   per   effective   worker   to   be   constant.   This   also   implies   that  

output   per  worker   grows   at   a   rate   equal   to   technology   growth.   All   this   can   be  

summarized  in  the  following  table:  

Variable   Growth  rate  in  SS  (Solow  model  with  

A)  

Growth  rate  in  SS  (Solow  model  without  

A)  

K  or  Y   𝑔𝑔 + 𝑔𝑔   𝑔𝑔  

K/N  or  Y/N   𝑔𝑔   Not  growing  

K/AN  or  

Y/AN  

Not  growing   Does  not  exists  as  there  is  no  A  

                                                                                                                         5  In  fact  some  assumptions  to  the  returns  of  production  function  are  made.  As  one  can  see  in  the  graph  the  production   function  has  decreasing  returns   to  capital.  This  assumption   is  necessary  because  otherwise  the  accumulation  of  capital  would  lead  to  more  and  more  output  and  there  would  be  no  steady  state.  The  function  of  that  would  not  be  concave  but  convex  and  it  is  easy  to  prove  that  then  there  is  no  steady  state.  

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 Exams  

   

Macroeconomics  Academic  Year  2012/2013,  Block  3  

     

 

     

                                   

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Exams                                                    Uniseminar  –  Macroeconomics  

 

EExxaammss    

You  should  start  early  with  the  calculation  of  exams,  because  you  need  to  get  a  

general   feeling   of   how   the   exams   are   built   up.   You  will   soon  discover   how   the  

exams  are  constructed  and  that  there  are  general  tendencies,  which  repeat  from  

exam  to  exam.   In   this  part  you  will   find  old  exams  of   the  Maastricht  University  

with   extensive   answer   keys   by   Uniseminar.   During   the   seminar   you   will   then  

receive  a  further  practice  exam  constructed  by  Uniseminar.  

   

TTaabbllee    ooff    CCoonntteennttss    

   

CClloosseedd    PPaarrttss     11    

2011/12  Resit  2011/12  First  Sit  2010/11  Resit  (incl.  extensive  answer  key  by  Uniseminar)  2010/11  First  Sit  (incl.  extensive  answer  key  by  Uniseminar)  2009/10  Resit  (incl.  extensive  answer  key  by  Uniseminar)  2009/10  First  Sit  (incl.  extensive  answer  key  by  Uniseminar)  2008/09  Resit  (incl.  extensive  answer  key  by  Uniseminar)  2008/09  First  Sit  (incl.  extensive  answer  key  by  Uniseminar)          

OOppeenn    PPaarrttss     221177  

2011/12  Resit  2011/12  First  Sit  2010/11  Resit  2010/11  First  Sit  2009/10  Resit  2009/10  First  Sit  2008/09  Resit  2008/09  First  Sit    

 

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EExxtteennssiivvee    AAnnsswweerr    KKeeyy    ––    1100//1111    rreessiitt    

   

11))    ––    DD::    

The  value  added  by  a  company  is  the  difference  between  the  price  they  can  sell  

the  product   for  and  the  price  they  bought   if   for.  More  economically   this   is   total  

sales  minus  costs  of  intermediate  goods.  800 − 100 = 700  

 

22))    ––    AA::    

In  the  AS-­‐relation  the  price  level  depends  on  output,  expected  prices,  the  mark-­‐

up  term  and  the  catchall  variable  z.  

 

33))    ––    BB::    

Demand  factors  explain  short-­‐term  fluctuations  in  output  as  supply  needs  more  

time  to  adapt.  In  the  medium  run,  however,  supply  factors  determine  output.  

 

44))    ––    DD::    

People   who   would   like   to   work   but   gave   up   looking   are   called   discouraged  

workers.  These  people  are  not  part  of  the  definition  of  the  labour  force.  

 

55))    ––    CC::    

The  difference  between  nominal   and   real  GDP   is   the  price   level.  As   long  as   the  

nominal  increase  is  higher  than  the  real  increase  inflation  must  be  positive.  

 

66))    ––    CC::    

An   increase   in   the   inventory   is   not   an   investment   as   no   additional   production  

possibilities  follow  from  it.  

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77))    ––    BB::    

Disposable   income   is   equal   to   income  minus   taxes   and   it   can   be   used   for   two  

things  only,  consumption  or  savings.  Hence  the  sum  of  consumption  and  savings  

must  equal  disposable  income.  

       

88))    ––    CC::    

Note   that   in   this   case   there   are   no   fixed   taxes,   but   a   tax   rate.   Hence   the  

propensity   to   consume   is   not   0.8   but    0.8 ∗ (1− 0.2) = 0.64.   Therefore   the  

multiplier  is  given  as  .= 2.78.  

99))    ––    CC::    

The   propensity   to   consume   is   equal   to   the   slope   of   the   ZZ   curve.   Hence   an  

increase  in  the  propensity  to  consume  will  make  the  ZZ-­‐curve  steeper  which  will  

increase  equilibrium  income.  

       

1100))    ––    BB::    

Another   condition   for   goods   market   equilibrium   is   that   investment   equals  

savings.   The   condition   leads   to   exactly   the   same   findings   as   output   equal   to  

demand.  Due  to  this  it  must  hold  that  savings  equal  investments  as  long  as  output  

equals  demand.  Points  B,D  and  E   lie  on   the  45°  degree   line  and  hence   in   those  

points  savings  and  investment  are  equal.  Moreover,  point  A  is  above  the  45°  line  

which  means  there  is  more  demand  than  output  and  hence  more  investment  and  

consumption   which   hints   to   less   savings.   The   logic   is   reversed   in   point   C   and  

hence  in  this  point  savings  exceed  investments.  

 

1111))    ––    BB::        

The   bond   formula   is:   950 1+ 𝑟𝑟 = 1000.   Solving   for   𝑟𝑟   gives:   𝑟𝑟 = − 1 =

0.053 = 5.3%  

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1122))    ––    BB::    

If  money  supply  is  less  than  money  demand  the  interest  rate  will  increase  in  the  

money  market   to  bring  down  money  demand.  As   interest   rate  and  bond  prices  

are   inversely   related,   an   increase   in   the   interest   rate  will   lead   to   a  decrease   in  

bond  prices.  

 

1133))    ––    CC::    

A  contractionary  monetary  policy  means  that  the  money  supply  decreases.  Hence  

the   central   bank   has   to   sell   bonds.  Moreover,   as   a   result   the   interest   rate  will  

increase.  

 

1144))    ––    AA::    

If  the  central  bank  sells  bonds,  it  is  able  to  take  the  money  is  sold  it  for  out  of  the  

market.  Hence  the  monetary  base  drops.  The  money  multiplier  depends  only  on  

the  reserve  ratio  and  the  share  of  money  people  wish  to  hold  as  currency.  

 

1155))    ––    CC::    

An   increase   in   the   reserve   ration   means   that   less   money   circulates   in   the  

financial   markets   as   bank   need   to   hold   more   money   in   reserves.   Hence   the  

money  multiplier  goes  down.  

       

1166))    ––    AA::    

Real  refers  to  the  value  of  something  in  terms  of  goods  instead  of  money.  You  can  

find   it   by   dividing   the   nominal   value   by   the   price   level,   in   terms   of   the  money  

supply  this  gives   .  

 

   

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Macroeconomics  Academic  Year  2012/2013,  Block  3  

       

   

 

 

 

 

 

 

 

 

   

   

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EExxttrraass    

In   this   part   you   find   several   extras   that   will   be   very   helpful   for   your   exam  

preparation.  In  this  course  you  will  a  formula  sheet  that  contains  all  the  relevant  

formulas  as  well  as  a  glossary  with  all  important  definitions.  

   

TTaabbllee    ooff    CCoonntteennttss    

   

FFoorrmmuullaa    SShheeeett     11    

   

GGlloossssaarryy     55    

     

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GGooooddss    mmaarrkkeett::    

𝒀𝒀 ≡ 𝑪𝑪+ 𝑰𝑰+ 𝑮𝑮+ [𝑿𝑿− 𝑰𝑰𝑰𝑰]         with:                𝑪𝑪 =  𝒄𝒄𝟎𝟎 + 𝒄𝒄𝟏𝟏×(𝒀𝒀 − 𝑻𝑻)    

   

TThhee    ggooooddss    mmaarrkkeett    mmuullttiipplliieerr::    

𝟏𝟏𝟏𝟏− 𝒄𝒄𝟏𝟏

   

   

MMoonneeyy    mmaarrkkeett::    

𝑴𝑴𝑫𝑫 = $𝒀𝒀×𝑳𝑳(𝒊𝒊⊖)         and         𝑴𝑴𝑺𝑺 = 𝑴𝑴𝑺𝑺        

   

IISS-­‐-­‐LLMM    mmooddeell::    

𝒀𝒀 = 𝑪𝑪 𝒀𝒀− 𝑻𝑻 + 𝑰𝑰 𝒀𝒀, 𝒊𝒊 + 𝑮𝑮                    and                                                    𝒀𝒀𝒀𝒀 𝒊𝒊 =𝑴𝑴𝑺𝑺

𝑷𝑷    

For  given  C,  T,  I,  G,  L,  M  and  P  this  solves  as  a  system  of  two  equations  with  two  unknowns,  i  and  Y.  

   

WWaaggee    aanndd    pprriiccee    sseettttiinngg::    

𝑾𝑾 = 𝑷𝑷𝒆𝒆𝒇𝒇 𝒖𝒖⊖, 𝒛𝒛⊕         and              𝑷𝑷= 𝟏𝟏+𝝁𝝁 𝑾𝑾    

   

TThhee    nnaattuurraall    rraatteess::    

𝑰𝑰𝑰𝑰  𝑷𝑷 = 𝑷𝑷𝒆𝒆  𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕  𝒖𝒖 = 𝒖𝒖𝑵𝑵    

𝒀𝒀𝒏𝒏 =   (𝟏𝟏− 𝒖𝒖𝒏𝒏)𝑳𝑳    

𝒖𝒖𝒏𝒏 =𝝁𝝁+ 𝒛𝒛𝜶𝜶    

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Uniseminar  –  Macroeconomics                                                    Glossary  

5  

AAddaappttiivvee     eexxppeeccttaattiioonnss::   a   method   of   tacking   this   year’s   expectation   of   a  

certain  variable  equal  to  the  value  of  the  variable  of  last  year.  Mostly  used  when  

forming  the  expectations  of  the  price  level  or  inflation  

 

AAggggrreeggaattee     ddeemmaanndd     rreellaattiioonn     ((AADD))::     a  relation  between  output  and  the  price  

level  being  derived   from  IS-­‐LM  model   (equivalently  goods  and  money  market).  

In  the  relation  output  depends  negatively  on  the  price  level  

   

AAggggrreeggaattee     ssuuppppllyy     rreellaattiioonn     ((AASS))::   again   a   relation   between   output   and   the  

price   level   but   being   derived   from   the   price   and   wage   setting   equation  

(equivalently  labour  market).  Now  the  price  level  depends  positively  on  output  

 

AAuuttoonnoommoouuss     ssppeennddiinngg::  the  part  of  demand  Z  which  does  not  depend  on  the  

level  of  output,  namely  government  spending,  taxes,  investment  and  autonomous  

consumption   c₀.   This   equals   the   intercept   of   the   demand   line/   overall   goods  

market  relation  line  of  the  Keynesian  cross    

 

BBaallaanncceedd     ggrroowwtthh     ppaatthh::     the   growth  path  of   output   and   capital   if   the  Solow  

economy   is   in   steady-­‐state.   Output   and   capital   both   grow   at   the   rate   of  

technological  progress  plus  population  growth.  Output  per   capita   just  grows  at  

the  rate  of  technological  progress  

   

BBoonndd::     a   financial   assets   which   central   banks   can   buy   to   increase   the   money  

supply  and  can  sell  to  decrease  the  money  supply  

 

BBuuddggeett    ddeeffiicciitt::  the  sum  of  interest  payments  plus  government  spending  minus  

tax  revenue.  The  budget  deficit  is  equal  to  the  change  in  public  debt  

 

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Glossary                      Uniseminar  -­‐  Macroeconomics    

6  

CCaappiittaall     aaccccuummuullaattiioonn::   the   increase   of   capital   or   capital   per   (effective)  

worker   in   the   Solow   model.   In   a   position   beneath   the   steady-­‐state   capital  

accumulation   is   positive.   In   a   position   above   the   steady-­‐state   capital   is  

decreasing.   The   accumulation   of   capital   is   equal   to   actual   investment   minus  

break-­‐even  investment  

 

CCaattcchhaallll     vvaarriiaabbllee     zz::   the   variable   has   a   positive   impact   on   the   wage   and  

measures   how   systematic   factures   influence   the   wage.   Large   unemployment  

benefits  increase  z  and  thereby  the  wage  workers  ask  for.  

   

CChheecckkaabbllee     ddeeppoossiittss::   deposits  which   can  be   checked   immediately   and  which  

therefore   require   banks   to   hold   a   certain   percentage   of   their   value   in   cash-­‐

reserves  

 

CCeennttrraall     bbaannkkss::   Institutions   which   decide   about   the   money   supply   within   an  

economy  (monetary  policy).  In  almost  all  western  nations  they  are  independent  

from  the  government.  Examples  are  the  ECB  and  the  FED  

 

CCoolllleeccttiivvee    bbaarrggaaiinniinngg::  this  takes  place  if  different  workers  bargain  their  wage  

together  as  a   labour  union.   Stronger  unions   lead   to  an   increase   in   the   catchall-­‐

variable  z  

 

CCoonnssuummeerr     pprriiccee     iinnddeexx     ((CCPPII))::   a  way   to  measure   the  price   level  by   taking  a  

goods-­‐basket   consisting   of   every   day   products   consumers   need   and   then  

evaluating   the   price   of   the   basket   through   different   years.   Changes   in   the  

consumer  price  index  give  therefore  an  approximation  to  inflation  

 

CCoonnssuummppttiioonn     ((CC))::   the   amount   of   the   total   demand   which   is   consumed.  

Consumption   consists   of   two   parts,   one   not   depending   and   the   other   one  

depending  on  output.  Income  which  is  not  consumed  is  saved  

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