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Chapter 4, Problem 3QAP

a.

To determine

To find:the bond that promises to pay $100 in one year if interest on bond is currently priced $75, $85, $95.

b.

To determine

To find: relationship between the price of the bond and interest rate.

c.

To determine

To find:when the interest rate is 8%, then what could be the price of the bond for today.

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Suppose that interest rates are 6 percent in the economy and a safe bond promises to pay $3 per year in interest forever. What do you think the price of the bond will be? Why?  Suppose that the economy, interest rates suddenly fall to 3 percent. What will happen to the price of the bond that pays $3 per year?
Bond A pays $8,000 in 20 years. Bond B pays $8,000 in 40 years. (To keep things simple, assume these are zero-coupon bonds, which means the $8,000 is the only payment the bondholder receives.) a. If the interest rate is 3.5 percent, what is the value of each bond today? Which bond is worth more? Why? (Hint: You can use a calculator, but the rule of 70 should make the calculation easy.) b. If the interest rate increases to 7 percent, what is the value of each bond? Which bond has a larger percentage change in value? c. Based on the example above, complete the two blanks in this sentence: "The value of a bond [rises/falls] when the interest rate increases, and bonds with a longer time to maturity are [more/less] sensitive to changes in the interest rate.
Imagine that a local water company issued $10,000 ten-year bond at an interest rate of 6%. You are thinking about buying this bond one year before the end of the ten years, but interest rates are now 9%. a. Given the change in interest rates, would you expect to pay more or less than $10,000 for the bond? b. Calculate what you would actually be willing to pay for this bond.

Chapter 4 Solutions

Macroeconomics, Student Value Edition Plus MyLab Economics with Pearson eText -- Access Card Package (7th Edition)

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