What is the YTM of this bond today? Suppose the annual reinvestment rate is 8% for the next two years. What is the realized compound yield if you sell this bond at the end of year 2?
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- You purchase a 6%, 20-year annual coupon bond for its face value. You will hold this bond for two years in your portfolio (till you receive coupon payments for both years), after which you will sell it. After two years, the market rate is 7%. How much will your bond sell for? What will be your percentage return? a. $899.41 and 1.94% respectively b. $1,000 and 0% respectively c. $899.41 and -4.06% respectively d. $894.06 and 1.41% respectivelySuppose that you buy a TIPS (inflation-indexed) bond with a 1-year maturity and a coupon of 2% paid annually. Assume you buy the bond at its face value of $1,000, and the inflation rate is 10%. a. What will be your cash flow at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What will be your real return? c. What will be your nominal return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)You will be paying $8,600 a year In tultion expenses at the end of the next two years. Bonds currently yleld 7%. Q. What is the present value and duration of your obligation? b. What maturity zero-coupon bond would Immunize your obligation? c. Suppose you buy a zero-coupon bond with value and duration equal to your obligation. Now suppose that rates immediately Increase to 9%. What happens to your net position, that is, to the difference between the value of the bond and that of your tultion obligation? d. What if rates fall Immediately to 5% ? Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D What is the present value and duration of your obligation? (Do not round intermediate calculations. Round "Present value" to 2 decimal places and "Duration" to 4 decimal places.) \table[[,,,],[Present value,,,,,],[Duration,,years,,,]]
- (b)You purchase the $110 bond today and sell it off next year at $108. What is its one-year rate of return (assume the bond’s coupon rate is 5% and its face value is $100)? If the expected inflation over the course of the year is 2%, what would the ex-ante real rate of return be for the bond on part (b)?Consider a bond with a coupon rate of 14% and coupons paid semiannually. The par value isS1000 and the bond has 7 years to maturity. The yield to maturity is 16%.Required:Find present values based on the payment periodHow many coupon payments are there?What is the semiannual coupon payment?What is the semiannual yield?Consider a 10-year bond with current price of $98.4 and a duration of 9.1 years. Suppose the yield on the bond is 9.6% per year with continuous compounding. What is the predicted change in the price (in dollars) of the bond if the yield increases by 0.4%? (required precision: 0.01 +/- 0.01)
- A one-year zero coupon bond costs $99.43 today. Exactly one year from today, it will pay $100. What is the annual yield-to-maturity of the bond? (1.e., what is the discount rate one needs to use to get the price of the bond given the future cash flow of $100 in one year?) 1.0057 0.0057 2.0057 -0.0057Consider 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? 10% 0% -10% 20%a two-year bond with $1,000 face value and 10% coupon rate is sold for $1,000 today. If one year later the market interest rate decreases by 1%, then this bond will have a market price of $_____ (round to the nearest integer, no decimal point) then.
- Consider a bond paying a coupon rate of 10% per year semi-annually when the market interest rate is only 4% per half-year. The bond has three years until maturity. This initial payment is $1000. A: What is find the bond’s price today and 6 months time after the next coupon is paid? B: What is the total rate of return on the bond?Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $89.75, while a 2-year zero sells at $79.88. 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 10% per year. Required: What is the yield to maturity of the 2-year zero? What is the yield to maturity of the 2-year coupon bond? What is the forward rate for the second year? If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding-period return on the coupon bond over the first year? Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?You want to form a bond portfolio that pays $100 every six months, for the next year. That is, $100 in 0.5 years and $100 in 1 year. To achieve this goal, you will purchase Bonds A and B, which have a face value of $100 and pay semi-annual coupons. The following information is available: Bond A • Coupon rate (APR): 4.3% Maturity: 1 year Bond B • Coupon rate (APR): 9.5% • Maturity: 1 year Calculate the number of units you must buy of Bond B to achieve your goal. Express your answer as a number with two decimals. E.g. If your answer is 102.544, then enter it as 102.54
