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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- 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.A bond that matures in 8 years has a par value of $1,000 and an annual coupon payment of $70; its market interest rate is 9%. What is its price? A bond that matures in 12 years has a par value of $1,000 and an annual coupon rate of 10%; the market interest rate is 8%. What is its price? Which of those two bonds is a discount bond, and which is a premium bond? Explain.A 20 year, 5% annual-pay bond has a par value of $1,000, what would this bond be trading for it it were being priced to yield 12% as annual rate? what is the method to solve this equation and answer ?
- 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=?If you purchase a 5-year, zero-coupon bond for $691.72, how much could it be sold for 3 years later if interest rates have remained stable?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 5-year bond with a yield of 4% (continuously compounded), with a face value of $100, pays an 3% coupon at the end of each year. What is the bond’s price? (You can use your calculations for the next questions) A 5-year bond with a yield of 4% (continuously compounded) pays an 3% coupon at the end of each year. What is the bond’s duration? Use the calculations from the previous problem to make it easier, and you can use your duration answer for the following question.Consider a bond that is currently priced at $1100. If the face value of the bond is $1000, coupon payments are made semiannually, the bond matures in 5 years, and the YTM is 3%, what is the coupon rate? Group of answer choices 5.17% 2.58% 3.00% $25.84how does the equation for valuing a bond change if semiannual payments are made? find the value of a 10-year, semiannual payment, 10% coupon bond if nominal rd equal 13%.
- 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 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?Suppose that a 5-year 6% bond is purchased between the issuance date and the first coupon date. The days between the settlement date and the next coupon period is 60. There are 90 days in the coupon period given that the coupons are paid quarterly. Suppose the discount rate is 4%. What is the dirty price, clean price, and accrued interest?