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Consider a bond that promises the following cash flows. The yield to maturity is 12%.

Year 0 1 2 3 4

Promised

Payments

160 160 170 180 230

You plan to buy this bond, hold it for 2.5 years, and then sell the bond

a. What total cash will you receive from the bond after the 2.5 years? Assume that the periodic cash flows are reinvested at 12%.

b. If immediately after buying this bond all market interest rates drop to 11% (including your reinvestment rate), what will be the impact on your total cash flow after 2.5 years? How does this compare to part (a)?

c. Assuming all market interest rates are are 12%, what is the duration of this bond?

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