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Suppose that you have a debt instrument that pays you $0 in one year, $1,000 in...

Suppose that you have a debt instrument that pays you $0 in one year, $1,000 in two years, $2,000 in three years, and $4,000 in four years. Assume that zero coupon bonds of any muturity have a yield of 6 percent.

a. what is the price of this debt instrument?

b. What is the modified duration of this debt instrument?

c. using the modified duration calculated in part (b), what is the percent change in the price of debt instrument if yield moves to 6.1%? what is the dollar change in price?

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