A 20-year maturity, 7.6% coupon bond paying coupons semiannually is callable in seven years at a call price of $1,170. The bond currently sells at a yield to maturity of 6.6% (3.30% per half-year). Required: a. What is the yield to call? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Yield to call b. What is the yield to call if the call price is only $1,120? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Yield to call % Yield to call % c. What is the yield to call if the call price is $1,170 but the bond can be called in four years instead of seven years? (Do not round intermediate calculations. Round your answer to 2 decimal places.) %
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- Bond Yields and Rates of Return A 10-year, 12% semiannual coupon bond with a par value of 1,000 may be called in 4 years at a call price of 1,060. The bond sells for 1,100. (Assume that the bond has just been issued.) a. What is the bonds yield to maturity? b. What is the bonds current yield? c. What is the bonds capital gain or loss yield? d. What is the bonds yield to call?A 30-year maturity, 8.3% coupon bond paying coupons semiannually is callable in five years at a call price of $1,115. The bond currently sells at a yield to maturity of 7.3% (3.65% per half-year). Required: a. What is the yield to call? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Yield to call % b. What is the yield to call if the call price is only $1,065? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Yield to call % c. What is the yield to call if the call price is $1,115 but the bond can be called in two years instead of five years? (Do not round intermediate calculations. Round your answer to 2 decimal places.)A 30-year maturity, 8.3% coupon bond paying coupons semiannually is callable in five years at a call price of $1,115. The bond currently sells at a yield to maturity of 7.3% (3.65% per half-year). Required: a. What is the yield to call? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What is the yield to call if the call price is only $1,065? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. What is the yield to call if the call price is $1,115 but the bond can be called in two years instead of five years? (Do not round
- A newly issued bond pays its coupons once a year. Its coupon rate is 4.3%, its maturity is 10 years, and its yield to maturity is 7.3%. Required: a. Find the holding-period return for a one-year investment period if the bond is selling at a yield to maturity of 6.3% by the end of the year. (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. If you sell the bond after one year when its yield is 6.3%, what taxes will you owe if the tax rate on interest income is 40% and the tax rate on capital gains income is 30%? The bond is subject to original-issue-discount (OID) tax treatment. (Do not round intermediate calculations. Round your answers to 2 decimal places.) c. What is the after-tax holding-period return on the bond? (Do not round intermediate calculations. Round your answer to 2 decimal places.) d. Find the realized compound yield before taxes for a two-year holding period, assuming that (i) you sell the bond after two years, (ii) the bond yield…1. Consider the following bond that pays coupon interest semi-annually. Coupon Yield to maturity Maturity (Years) Par Value Bond 8% 6% 2 $100 a) What is the price value of a basis point? Assuming one basis point decrease. b) Compute the Macaulay duration theoretically. What is the modified duration? c) Compute the approximate duration by increasing yield by 20 basis points and compare your answers with those calculated in part (b). d) Compute the convexity measure theoretically. e) When the yield increases by 20 basis points, what is the new bond price? What is the estimated bond price using duration calculated in part (b)? What is the estimated bond price using duration calculated in part (b) together with the convexity calculated in part (d)?Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4? Required A Price $940.93 Complete this question by entering your answers in the tabs below. 868.39 800.92 735.40 670.48 Required B Maturity (years) 2 3 Calculate the forward rate of interest for each year. Note: Round your answers to 2 decimal places. Required C Forward Rate % % Prov 12 of 12 Next
- A two-year bond with par value $1,000 making annual coupon payments of $100 is priced at $1,000. Required: a. What is the yield to maturity of the bond? Yield to maturity b. What will be the realized compound yield to maturity if the one-year interest rate next year turns out to be (a) 8%, (b) 10%, (c) 12%? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Interest Rate 8% 10% 10 % 12% Realized YTM % % %A 30-year maturity bond making annual coupon payments with a coupon rate of 14.5% has duration of 10.64 years. The bond currently sells at a yield to maturity of 9%. Required: a. Find the price of the bond if its yield to maturity falls to 8%. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Price of the bond b. What price would be predicted by the duration rule, if its yield to maturity falls to 8% ? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Predicted priceYou buy a(n) 7.4% coupon, 5-year maturity bond for $976. A year later, the bond price is $1,136. Assume coupons are paid once a year and the face value is $1,000. a. What is the new yield to maturity on the bond (one year from now)? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Yield to maturity b. What is your bond's rate of return over the year? (Round your answer to 2 decimal places.) Rate of return
- Required: a. Find the duration of a 8% coupon bond making annual coupon payments if it has three years until maturity and a yield to maturity of 6.9%. (Do not round intermediate calculations. Round your answers to 4 decimal places.) b. What is the duration if the yield to maturity is 10.9% ? (Do not round intermediate calculations. Round your answers to 4 decimal places.) YTM a. 6.9% YTM b. 10.9% YTM Duration Years YearsYou buy a bond for $964 that has a coupon rate of 6.60% and a maturity of 7-years. A year later, the bond price is $1,104. (Assume a face value of $1,000 and annual coupon payments.) a. What is the new yield to maturity on the bond? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Yield to maturity % b. What is your rate of return over the year? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Rate of returnSuppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM 1 0.00% 2.587% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. b. What is the zero-coupon yield curve for years 1 through 4? Note: Assume annual compounding. 2 11.00% 4.008% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. The yield to maturity of a two-year, zero-coupon bond is %. (Round to two decimal places.) b. What is the zero-coupon yield curve for years 1 through 4? The yield to maturity for the three-year and four-year zero-coupon bond is found in the same manner as the two-year zero-coupon bond. The yield to maturity on the three-year, zero-coupon bond is %. (Round to two decimal places.) The yield to maturity on the four-year, zero-coupon bond is %. (Round to two decimal places.) Which graph best depicts the yield curve of the zero-coupon bonds? (Select the…