You own a 20-year, 5.0% annual coupon bond, selling at a YTM of 5.0%.If interest rates suddenly go up by 1.0%, what is the percentage change in the price of the bond?TIP: The formula for percentage change is (P(1) - P(0))/P(O). (This is the same formula we used inChapter 3)You will need to calculate the price of the bond with the two different YTM's.You will need to show the +/- sign of your answer.

Let us suppose face value of bond be $1000. Price of bond can be calculated by using PV function…

Answered: You own a 20-year, 5.0% annual coupon…

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 11P

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What would be the value of the bond described in Part d if, just after it had been issued, the expected inflation rate rose by 3 percentage points, causing investors to require a 13% return? Would we now have a discount or a premium bond? What would happen to the bond’s value if inflation fell and rd declined to 7%? Would we now have a premium or a discount bond? What would happen to the value of the 10-year bond over time if the required rate of return remained at 13%? If it remained at 7%? (Hint: With a financial calculator, enter PMT, I/YR, FV, and N, and then change N to see what happens to the PV as the bond approaches maturity.)
Suppose there is a large probability that L will default on its debt. For the purpose of this example, assume that the value of Ls operations is 4 million (the value of its debt plus equity). Assume also that its debt consists of 1-year, zero coupon bonds with a face value of 2 million. Finally, assume that Ls volatility, , is 0.60 and that the risk-free rate rRF is 6%.
Yield to Maturity and Yield to Call Arnot International’s bonds have a current market price of $1,200. The bonds have an 11% annual coupon payment, a $1,000 face value, and 10 years left until maturity. The bonds may be called in 5 years at 109% of face value (call price = $1,090). What is the yield to maturity? What is the yield to call if they are called in 5 years? Which yield might investors expect to earn on these bonds, and why? The bond’s indenture indicates that the call provision gives the firm the right to call them at the end of each year beginning in Year 5. In Year 5, they may be called at 109% of face value, but in each of the next 4 years the call percentage will decline by 1 percentage point. Thus, in Year 6 they may be called at 108% of face value, in Year 7 they may be called at 107% of face value, and so on. If the yield curve is horizontal and interest rates remain at their current level, when is the latest that investors might expect the firm to call the bonds?
One year ago, an investor purchased a 10-year 8% annual coupon bond at par of $1,000. Today (with 9 years to maturity) the bond is priced to yield 7.40%. If the bond is sold, what is the total return to the investor (interest plus appreciation) for the 1-vear holding period? Hint: The total return includes the coupon rate plus the appreciation (or depreciation) due to the change in rates. Therefore, calculate the current price based on the yield, and then calculate the total return over 1 year based on that price and the coupon payment. Your answer should be between 6.32 and 17.42, rounded to 2 decimal places, with no special characters.
Arco Industries has a bond outstanding with 15 years to maturity, an 8.25% nominal coupon, semiannual payments, and a $1,000 par value. The bond has a 7.20% yield to maturity, but it can be called in 6 years at a price of $1,045. What is the bond's yield to call? Hint: Calculate the bond's price based on the YTM, and then use that price to find the YTC. Your answer should be between 4.08 and 10.64, rounded to 2 decimal places, with no special characters.

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You own a 20-year, 5.0% annual coupon bond, selling at a YTM of 5.0%. If interest rates suddenly go up by 1.0%, what is the percentage change in the price of the bond?