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Present Value of a Bond
1. Assume that you wish to purchase a 20 year bond that has a maturity value of $1,000 and makes semiannual interest payments of $40. If you require a 10% nominal yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond?
Current Yield of a Bond
2. Consider a $1,000 par value bond with a 7% annual coupon. The bond pays interest annually. There are 9 years remaining until maturity. What is the current yield on the bond assuming that the required return on the bond is 10%?
Change in Interest Rates of Bond
3. A bond has a $1,000 face value, coupon rate of 7% with semiannual payments. Assume that the investors require a rate of return of 8%, what is the present value of the bond? Consider now that the investors require a rate of return of 10%, what is the new present value of the bond? Assume there are 10 years remaining until maturity.
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Suppose the interest rate for a one-period bond is 4%. (a) What is the price of an asset paying (1,1,1) which means 1 after 1 period, 1 after 2 periods, and 1 after 3 periods.
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