Macroeconomics
Macroeconomics
10th Edition
ISBN: 9780134896441
Author: ABEL, Andrew B., BERNANKE, Ben, CROUSHORE, Dean Darrell
Publisher: PEARSON
Question
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Chapter 7, Problem 3NP

a)

To determine

To write: The algebric form of demand for money as a function of bond and checking account interest rates.

a)

Expert Solution
Check Mark

Answer to Problem 3NP

The equation for Person M’s money demand is Md=$50000$500000(iim) .

Explanation of Solution

Given information:

Value of bonds = $50000

2nd bond = $5000

Net wealth = Total wealth − Amount invested.

For second bond, interest rate is more compared to checking account.

So to complete the formula, subtract $50000 and the formula $5000(iim)100 from $100000 . This is done because $50000 is invested and $5000 is value of bond which gives interest .

So, Demand for money is,

  Md=$100000$50000$5000(iim).100

  Md=$50000$500000(iim)

Value of bond = $5000

Interest rate on bond = i

Interest rate on checking account = im

In percentage form, value of bond is written as $5000(iim)

Hence the equation for Person M’s money demand is Md=$50000$500000(iim) .

Economics Concept Introduction

Introduction:

Equilibrium in asset market occurs when demand of money is equal to supply of money.

b)

To determine

To write: The algebric formula of demand for bonds.

b)

Expert Solution
Check Mark

Answer to Problem 3NP

Algebric formula of demand for bonds is Bd=$50000+$500000(iim)

Explanation of Solution

Person M’s demand for bonds is simply the sum of the amount of his money that is wanted for investment in bonds, $50000 and $500000(iim) .So the formula for demand for bonds is:

  Bd=$50000+$500000(iim)

To fund the sum of demand for money and demand for bonds, add the formulas of the demand for money from part a, Md=$50000$500000(iim) and the demand for bonds, Bd=$50000+$500000(iim) .

  Md+Bd=$50000$500000(iim)+$50000+$500000(iim)

  =$50000+$50000

  =$100000

So the sum of Person M’s demand for money and bonds is $100000 , the amount of wealth.

Economics Concept Introduction

Introduction:

Equilibrium in asset market occurs when demand of money is equal to supply of money.

c)

To determine

To find: The interest rate on bonds in asset market equilibrium

c)

Expert Solution
Check Mark

Answer to Problem 3NP

The i8nterest rate on bonds in asset market equilibrium is 6%.

Explanation of Solution

In order to find the interest rate on bonds in asset market equilibrium, either set money supply, $20000, equal to money demand from part a. or set bond supply, $80000, equal to bond demand from part b., set im=0 and solve for i.

  Md=Ms

  50000500000(iim)=20000

  50000500000(i0)=20000

  50000500000i=20000

  500000i=30000

Continue by dividing through by -500000

  500000i500000=30000500000

  i=0.6

So, the interest rate on bonds in asset market equilibrium is i=0.6=6% .

Economics Concept Introduction

Introduction:

Equilibrium in asset market occurs when demand of money is equal to supply of money.

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