Consider a bond with a face value of $5,000 that pays a coupon of $200 for 5 years. Suppose the bond is purchased at $5,000, and can be resold next year for $4,800. What is the rate of return and the yield to maturity of the bond? rate of return = 4%, yield to maturity = 0% rate of return = 0%, yield to maturity = 4% rate of return = 8%, yield to maturity = - 4% rate of return = 4%, yield to maturity = 4%
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Consider a bond with a face value of $5,000 that pays a coupon of $200 for 5 years. Suppose the bond is purchased at $5,000, and can be resold next year for $4,800. What is the
rate of return and the yield to maturity of the bond?rate of return = 4%, yield to maturity = 0%
rate of return = 0%, yield to maturity = 4%
rate of return = 8%, yield to maturity = - 4%
rate of return = 4%, yield to maturity = 4%
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- Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for 1,135.90, producing a nominal yield to maturity of 8%. However, the bond can be called after 5 years for a price of 1,050. (1) What is the bonds nominal yield to call (YTC)? (2) If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why?Consider a bond with a face value of $2,000 that pays a coupon of $150 for 10 years. Suppose the bond is purchased at $500, and can be resold next year for $400. What is the rate of return of the bond? What is the yield to maturity of the bond?A newly issued bond with 1 year to maturity has a price of $1,000, which equals its face value. The coupon rate is 15% and the probability of default in 1 year is 35%. The bond’s payoff in default will be 65% of its face value. a. Calculate the bond’s expected return. b. Use a data table to show the expected return as a function of the recovery percentage and the price of the bond. Please show how you got part B using all functions.
- If you have a coupon bond, its face value is $1,000 and the coupon rate is 4%. Complete the following table, then calculate the rate of return for the bond. If you know that it was purchased at the nominal value, comment on the results. due date return at maturity the price 2 0.02 3 0.04 5 0.06 Present Value Annuity value % n value % n 0.961 0.02 2 1.97 0.02 2 0.925 0.04 2 1.89 0.04 2 0.889 0.04 3 2.78 0.04 3 0.906 0.02 5 4.71 0.02 5 0.747 0.06 5 4.21 0.06 5Consider a bond with a principal of $1,000 that pays a coupon of $100 per year. If the bond matures in one year and the current interest rate is i = 3%, what is the price (present value) of the bond? Round to the nearest cent. Answer:suppose a 30 year, pay coupon of 4% is priced to yield 5%. par = 1000. the bond pays its coupon annually. calculate the instrinsic value of the bond. decide whether the bond is at premium or discount? please show the calculation using excel
- Assume the pure expectation theory holds: If the return on 6 years maturity treasury bill (TB) is 8%, the return on 1-year maturity TB is 6%, the return on a 2 years maturity (TB) is 7%, X is the return on a 3-year maturity bond. a. Calculate X, the forward rate, the return on a 3-year maturity bond, 3 years from today. b. Graph the yield curve c. Based on the yield curve you just derived, what are your expectations of the future performance of the economy?Suppose you purchase a 10-year bond with 6% annual coupons. You hold the bond for fouryears, and sell it immediately after receiving the fourth coupon. If the bond’s yield to maturitywas 5% when you purchased and sold the bond,a. What cash flows will you pay and receive from your investment in the bond per $100 face value?b. What is the internal rate of return of your investment?Try it: Duration 1. Consider a bond that has a coupon rate of 5 percent, five years remaining to maturity, and is priced to yield 4%. Assume semi-annual interest. a. What is the effective duration for this bond? b. What is the approximate change in price if the yield increases from 4% to 5%?
- Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $94.34, while a 2-year zero sells at $84.99. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 12% per year.a. What is the yield to maturity of the 2-year zero?b. What is the yield to maturity of the 2-year coupon bond?c. What is the forward rate for the second year?d. According to the expectations hypothesis, what are (i) the expected price of the coupon bond at the end of the first year and (ii) the expected holding-period return on the coupon bond over the first year?e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?Suppose that the yield curve shows that the one-year bond yield is 8 percent, the two-year yield is 7 percent, and the three-year yield is 7 percent. Assume that the risk premium on the one-year bond is zero, the risk premium on the two-year bond is 1 percent, and the risk premium on the three-year bond is 2 percent. a. What are the expected one-year interest rates next year and the following year? The expected one-year interest rate next year = The expected one-year interest rate the following year b. If the risk premiums were all zero, as in the expectations hypothesis, what would the slope of the yield curve be? The slope of the yield curve would be (Click to select) % %Suppose you purchase a 10-year bond with 6.19% annual coupons. You hold the bond for 4 years, and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 5.34% when you purchased and sold the bond, a. what cash flows will you pay and receive from your investment in the bond per $100 face value? b. what is the annual rate of return of your investment? a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flows from the investment are shown in the following timeline: (Round to the best choice below.) A. Years 2 3 Cash Flows $106.46 $6.19 $6.19 $6.19 $110.46 B. Years 0 2 3 4 Cash Flows - $106.46 $6.19 $6.19 $6.19 $110.46 C. Years 0 1 2 3 4 Cash Flows $104.27 $6.19 $6.19 $6.19 $110.46 D. Years 0 2 3 4 + $6.19 $6.19 $6.19 $104.27 Cash Flows - $110.46 b. What is the annual rate of return of your investment? The annual rate of return of your investment is %. (Round to two decimal places.)