A 7-year zero coupon bond currently sells for $58, and a 3-year zero coupon bond sells for $89. All bonds have a $100 par. What will be the price of a 4-year zero in 3 years time?
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- Suppose that all bonds have $1,000 of face value. The current prices of zero coupon bonds are as follows: $960 for a one-year bond; $910 for a two-year bond; $850 for a three-year bond. a. What is the price of a three-year bond with 8% annual coupon payment? b. What is the YTM of the two-year zero coupon bond? c. Consider the following two-year bonds: (i) a zero coupon bond as above; (ii) a bond with 6% annual coupon payment. Whose YTM is higher?Consider two zero coupon bonds. Both have face values of $100. Bond A pays its face value in 8 years, and Bond B pays its face in 2 years. If interest rates change from 9% to 7%, what is the percentage change in the long maturity bond's price minus the percentage change in the short maturity bond's price? Express your answer in percentage form rounded to one decimal place.Consider two zero coupon bonds. Both have face values of $100. Bond A pays its face value in 8 years, and Bond B pays its face in 2 years. If interest rates change from 9% to 7%, what is the percentage change in the long maturity bond's price minus the percentage change in the short maturity bond's price?
- Give typing answer with explanation and conclusion A 3-month zero-coupon bond is selling for $99.7 and a 10-year zero-coupon bond is selling for $55.7. Both bonds have a face value of $100. What's the 10-year - 3-month spread in their yields? Answer in percent, rounded to one decimal place.Bond J has a coupon rate of 3 percent and Bond K has a coupon rate of 9 percent. Both bonds have 13 years to maturity, make semiannual payments, and have a YTM of 6 percent. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? Percentage change in price of Bond J=? Percentage change in price of Bond K=? What if rates suddenly fall by 2 percent instead? Percentage change in price of Bond J=? Percentage change in price of Bond K=?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) Price 1 $ 998.78 2 880.89 3 815.92 4 752.40 5 685.70 a. Calculate the forward rate of interest for each year. (Round your answers to 2 decimal places.) b. How could you construct a 1-year forward loan beginning in year 3? (Round your Rate of synthetic loan answer to 2 decimal places.) c. How could you construct a 1-year forward loan beginning in year 4? (Round your answers to 2 decimal places.)
- A 3-month zero-coupon bond is selling for $99.7 and a 10-year zero-coupon bond is selling for $54.3. Both bonds have a face value of $100. What's the 10-year - 3-month spread in their yields? Answer in percent, rounded to one decimal place. Give typing answer with explanation and conclusionConsider a bond with a face value of $1,000 that sells for an initial price of $700. It will pay no coupons for the first nine years and will then pay 11% coupons for the remaining 29 years. Choose an equation showing the relationship between the price of the bond, the coupon (in dollars), and the yield to maturity. O A. B. O C. O D. 700 = 700 = 700 = 700 = 110 110 9 (1+i)⁹ (1+i)⁹+1 + 110 + i) ⁹ + 1 (1 + 1,000 (1+i) 29-9 1,000 (1 + i) 9 +29 + +...+ 110 (1+i) 9+2 + 110 (1 + i)9+29-1 110 + (1 + i) ⁹ + 110 (1+i)9 +29 9+29-1 + 110 (1 + i)9 +29 + 1,000 (1+i) 9+29A l-year zero coupon bond has a par value $100 and is priced at $97. A 2-year zero coupon bond has a par value $100 and costs $90. An investor is uncertain about future yields but believes that the expected value of the future short rate (a year from today) is 4%. Compute YTM for both bonds. (Express in %, round-up all your answers to 2 decimal places.) 1. 2. Based on the investor's beliefs, what is the expected value of the price of the second bond a year from today? (Express in dollars, round-up your answer to 2 decimal places.)
- 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 Price $983.78 865.89 797.92 732.00 660.24 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?(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)?A zero coupon bond that has a term to maturity of 8 years currently sells for $14.50. What is the duration of zero coupon bond?