1. Nominal GDP =P*Y, where P is the price level and Y is aggregate output (income). We know from class slides that the velocity of money links money supply and nominal GDP. Given nominal GDP in a year is $10 trillion and the quantity of money (M1) is $2 trillion, what is the velocity? What is the meaning of this calculated velocity?

Essentials of Economics (MindTap Course List)
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Author:N. Gregory Mankiw
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Chapter22: Money Growth And Inflation
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1. Nominal GDP =P*Y, where P is the price level and Y is aggregate output (income) .
We know from class slides that the velocity of money links money supply and nominal
GDP. Given nominal GDP in a year is $10 trillion and the quantity of money (M1) is
$2 trillion, what is the velocity? What is the meaning of this calculated velocity?
2. Suppose that real money demand is represented by the equation M“/P= 0.25×Y.
Calculate the velocity of money.
3. Consider a five year $1000 semiannual coupon bond with a 5% coupon rate. If the
bond is current trading for a price of $957.35, what is the bond's yield to maturity? If
the bond's yield to maturity increase a little bit, what will the bond's price be?
4. Suppose a 7-year, $1,000 bond with an 8% coupon rate and semiannual coupons is
trading with a yield to maturity of 6.75%. Is this bond currently trading at a discount,
at par, or at a premium? Explain. If the yield to maturity of the bond rises to 7%,
what price will the bond trade for?
5. Suppose that you want to take a loan and that your local bank wants to charge you
an annual real interest rate equal to 3%. Assuming that the annualized expected rate
of inflation over the life of the bond is 1%, determine the nominal interest rate that
the bank will charge you. What happens if, over the life of the loan, actual inflation is
0.5%?
Transcribed Image Text:1. Nominal GDP =P*Y, where P is the price level and Y is aggregate output (income) . We know from class slides that the velocity of money links money supply and nominal GDP. Given nominal GDP in a year is $10 trillion and the quantity of money (M1) is $2 trillion, what is the velocity? What is the meaning of this calculated velocity? 2. Suppose that real money demand is represented by the equation M“/P= 0.25×Y. Calculate the velocity of money. 3. Consider a five year $1000 semiannual coupon bond with a 5% coupon rate. If the bond is current trading for a price of $957.35, what is the bond's yield to maturity? If the bond's yield to maturity increase a little bit, what will the bond's price be? 4. Suppose a 7-year, $1,000 bond with an 8% coupon rate and semiannual coupons is trading with a yield to maturity of 6.75%. Is this bond currently trading at a discount, at par, or at a premium? Explain. If the yield to maturity of the bond rises to 7%, what price will the bond trade for? 5. Suppose that you want to take a loan and that your local bank wants to charge you an annual real interest rate equal to 3%. Assuming that the annualized expected rate of inflation over the life of the bond is 1%, determine the nominal interest rate that the bank will charge you. What happens if, over the life of the loan, actual inflation is 0.5%?
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