Question 1

If the annual real rate on a 10-year inflation-protected bond equals 1.9 percent and the annual nominal rate of return on a 10-year bond without inflation protection is 4.4 percent, what average rate of inflation over the ten years would make holders of inflation-protected bonds and holders of bonds without inflation protection equally well off?

Accepted Answer

The difference in the nominal yield of the two bonds represents the expected average annual inflation rate over the next 10 years. Therefore, the difference between 4.4% and 1.9% is 2.5%. This means that if inflation averages 2.5% annually over the next 10 years, holders of inflation-protected bonds and holders of bonds without inflation protection will have earned the same return. Thus, the answer is B) 2.5%.

Question 2

If the nominal interest rate is 8% and the real interest rate is 3%, then the inflation rate equals:

Accepted Answer

The real interest rate is equal to the nominal interest rate minus the inflation rate. In this case, the real interest rate is 3%, so we can set up the equation: 
8% - inflation rate = 3%
Subtracting 8% from both sides: 
-inflation rate = -5%
Dividing by -1 to solve for inflation rate: 
inflation rate = 5%

Question 3

The nominal interest rate equals the:

Accepted Answer

The nominal interest rate is the sum of the real interest rate and the inflation rate. Therefore, option B is correct.

Question 4

Samantha is lending Jack $1,000 for one year. The CPI is 1.60 at the time the loan is made, and they both expect it to be 1.68 in one year. If Samantha and Jack agree that Samantha should earn a 3% real return for the year, the nominal interest rate on this loan should be ______ percent.

Accepted Answer

The answer of Samantha is lending Jack $1,000 for one...

Question 5

If the bank agrees to make a loan at a 7% interest rate and the inflation rate is 3%, then 4% is the ______ rate.

Accepted Answer

The nominal interest rate is the stated rate on the loan, in this case 7%. The real interest rate takes inflation into account and is calculated by subtracting the inflation rate from the nominal interest rate (7% - 3% = 4%). Therefore, the real interest rate is 4%. The other choices (C and D) are not relevant to the question.

Question 6

The market interest rate in Alpha is 7%, and the market interest rate in Beta is 10%; the inflation rate in Alpha is 3%, and inflation rate in Beta is 8%. Which of the following statements is true?

Accepted Answer

The answer of The market interest rate in Alpha is...

Question 7

If the annual real interest rate on a 10-year inflation-protected bond equals 1.5 percent and the annual nominal rate of return on a 10-year bond without inflation protection is 4.2 percent, what average rate of inflation over the ten years would make holders of inflation-protected bonds and holders of bonds without inflation protection equally well off?

Accepted Answer

The difference in nominal rates between the two bonds is 4.2% - 1.5% = 2.7%. This difference represents the expected average inflation rate over the next 10 years. If inflation turns out to be higher than 2.7%, holders of inflation-protected bonds will be better off, but if inflation turns out to be lower than 2.7%, holders of bonds without inflation protection will be better off. Therefore, an average rate of inflation of 2.7% will make the two groups equally well off.

Question 8

Unexpectedly high inflation ______ borrowers and ______ lenders.

Accepted Answer

This is one of the biggest costs of inflation: the transfer of wealth from lenders to borrowers in periods of unexpectedly high inflation.

Question 9

For a given nominal interest rate, an unexpectedly high inflation rate ______ the real interest rate.

Accepted Answer

An unexpectedly high inflation rate would decrease the real interest rate. This is because inflation erodes the purchasing power of the money returned from the investment, so investors will require a higher nominal interest rate to compensate for the loss in value. If the inflation rate is higher than expected, the real interest rate will decrease compared to what investors were anticipating.

Question 10

The real rate of return on holding cash is equal to:

Accepted Answer

The real rate of return on holding cash is equal to the nominal interest rate minus the inflation rate. Therefore, option D is the correct choice as it represents the formula for calculating the real rate of return on cash.

Question 11

If both the lender and borrower agree on an 8% interest rate, both expect a 4% inflation rate, and inflation turns out to be 4%, then ______ by the inflation.

Accepted Answer

In this scenario, the inflation rate remains exactly as expected by both parties. Therefore, there is no unexpected gain or loss for either the borrower or lender. Both parties are receiving the expected return on their investment, and thus neither is hurt.

Question 12

On January 1, 2004, Edward invested $10,000 at 5% interest for one year. The CPI on January 1, 2004 stood at 1.60. On January 1, 2005, the CPI was 1.76. The real rate of interest earned by Edward was ______ percent.

Accepted Answer

The real rate of interest is the nominal rate of interest minus the inflation rate. The nominal rate of interest is 5%. The inflation rate is (1.76 - 1.60) / 1.60 = 0.10. Therefore, the real rate of interest is 5% - 10% = -5%.

Question 13

On January 1, 2004, Anna invested $5,000 at 5% interest for one year. The CPI on January 1, 2004 stood at 1.60. On January 1, 2005, the CPI was 1.68. The real rate of interest earned by Anna was ______ percent.

Accepted Answer

The real rate of interest is calculated by adjusting the nominal interest rate for inflation. The formula is: Real Interest Rate = ((1 + Nominal Rate) / (1 + Inflation Rate)) - 1. The nominal rate is 5%, and the inflation rate is (1.68 - 1.60) / 1.60 = 0.05 or 5%. Thus, the real rate is ((1 + 0.05) / (1 + 0.05)) - 1 = 0, meaning the real rate of interest is 0%.

Question 14

Marge is lending Martin $1,000 for one year. The CPI is 1.60 at the time the loan is made. They expect it to be 1.76 in one year. If Marge and Martin agree that Marge should earn a 3% real return for the year, the nominal interest rate on this loan should be ______ percent.

Accepted Answer

To calculate the nominal interest rate, we need to use the Fisher equation:
Nominal interest rate = Real interest rate + Expected inflation rate
Given that Marge wants to earn a 3% real return, we can calculate the real interest rate as follows:
Real interest rate = 3% / CPI = 3% / 1.60 = 1.875%
Expected inflation rate = CPI at end of year - CPI at beginning of year / CPI at beginning of year = (1.76 - 1.60) / 1.60 = 10%
Nominal interest rate = 1.875% + 10% = 11.875%
Rounding this answer to the nearest whole number gives us 13%, which is choice C.

Question 15

The real rate of return on holding cash ______ inflation is correctly anticipated.

Accepted Answer

The real rate of return on holding cash does not depend on whether inflation is correctly anticipated. This is because the real rate of return is simply the nominal interest rate minus the inflation rate, regardless of whether inflation is accurately predicted or not. In other words, even if inflation turns out to be higher or lower than expected, the real rate of return will remain the same as long as nominal interest rates are constant.

Question 16

Assume one investor bought a 10-year inflation-protected bond with a fixed annual real rate of 1.5% and another investor bought a 10-year bond without inflation protection with a nominal annual return of 4.2%. If inflation over the 10-year period averaged 2 percent, which investor earned a higher real return?

Accepted Answer

The answer of Assume one investor bought a 10-year inflation-protected...

Question 17

If the borrower and lender agree to a loan at 8% when the inflation rate is 3%, then 8% is the ______ interest rates and 5% is the ______ interest rate.

Accepted Answer

The nominal interest rate is the stated rate on the loan, which is 8%. The real interest rate is the nominal rate minus the inflation rate, which is 5% (8% - 3%).

Question 18

For a given nominal interest rate, an unexpectedly low inflation rate ______ the real interest rate.

Accepted Answer

An unexpectedly low inflation rate would decrease the nominal interest rate. As the real interest rate is the nominal interest rate minus inflation, a decrease in inflation would cause an increase in the real interest rate. Therefore, choice A is the correct answer.

Question 19

Assume one investor bought a 10-year inflation-protected bond with a fixed annual real rate of 1.5% and another investor bought a 10-year bond without inflation protection with a nominal annual return of 4.2%. If inflation over the 10-year period averaged 3 percent, which investor earned a higher real return?

Accepted Answer

The investor who purchased the inflation-protected bond earned a higher real return. This is because the inflation-protected bond is designed to protect against inflation, so the actual return earned is the fixed real rate plus the inflation rate. In this case, the real return for the inflation-protected bond would be 1.5% + 3% = 4.5%. On the other hand, the nominal return of the bond without inflation protection is 4.2%, but the real return after subtracting inflation would be only 1.2% (4.2% - 3%). Therefore, the investor who purchased the inflation-protected bond earned a higher real return.

Question 20

The real interest rate equals the:

Accepted Answer

The real interest rate is calculated by subtracting inflation from the nominal interest rate. This is done to measure the true return on an investment after accounting for the effects of inflation.

Quiz 5: Measuring Economic Activity: Gdp and Unemployment