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An investor has two bonds in his portfolio that have a face value of $1,000 and pay a 9% annual coupon. Bond L matures in 17 years, while Bond 5 natures in 1 year: a. What will the value of the Bond L be if the going interest rate is 5%,6%, and 10% ? Assume that only one more interest payment is to be made on Bond S at its maturity and that 17 more payments are to be made on Bond L. Round your answers to the nearest cent. b. Why does the longer-term bond's price vary more than the price of the shorter-term bond when interest rates change? 1. Long-term bonds have lower reinvestment rate rilk than do short-term bends. II. The change in price due to a change in the required rate of return increases as a bond's maturity decreases. III. Long-term bonds have greater interest rate risk than do short-term bonds. IV. The change in price due to a change in the required rate of return decreases as a bonds maturity increases. V. Long-term bonds have lower interest rate risk than do short-term bonds