Today is t=0.5. Compute the present value of the forward contract to purchase a 1.5-year zero coupon bond, a year from t=0. We know that today's forward price is 94. At t = 0 and t=0.5, we have the following discounts: T Z(0,T) | Z(0.5,T) 0.5 0.968 1 1.0 0.936 0.970 1.5 0.904 0.952 2.0 0.873 0.921 2.5 0.8445 0.892 3.0 0.8175 0.854 3.5 0.7924 0.821 4.0 0.7691 0.798
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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?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,$1,000bond with a(n)9%coupon rate and semiannual coupons is trading for a price of$946.34. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to9%APR, what will the bond's price be?
- Suppose the current forward curve for one-year rates is the following: Time Period Forward Rate f(0,1) 2.5% f(1,1) 3.6% f(2,1) 4.5% f(3,1) 5.1% Calculate the spot rates for 2-year, 3-years and 4-year spot rates Calculate the forward rates f(1, 2), f(1, 3), and f(2, 2) 3) Use the information to value a 4-year bond that pays 4.5% annual coupons.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,,,]]Suppose the investor sells his bonds before maturity and uses some of the proceeds to purchase a zero-coupon T-Bill with a $100 face value and 6-month maturity. What is the effective annual rate (EAR) if it was purchased for $95.52?
- Suppose that we expect $1 million in 3 months and that we want to invest it for a period of 6 months. We also want to set today the rate at which we can invest this money. It is possible to recreate the same result as a forward rate agreement by taking a long position in a 3-month zero-coupon bond and a short position in a 9-month zero-coupon bond True FauxSuppose that you bought a 14% Drexler bond with time to maturity of 9 years for $1,379.75 (semiannual coupons, interest rate=8%). After another ½ year, you sold the bond. Assuming that the required rate of return remained at 8%, what would the selling price be? What is the rate of return from this investment? If the interest rate dropped by 25 basis points, what would the selling price be? What would the rate of return from this investment be?Assume that you are considering the purchase of a 15-year, noncallable bond with an annual coupon rate of 9.55%. The bond has a face value of $1000, and it makes semiannual interest payments. If you require an 12.50% yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond?Round your answer to two decimal places. For example, if your answer is $345.6671 round as 345.67 and if your answer is .05718 or 5.7182% round as 5.72. A. $673.92 B. $802.29 C. $689.97 D. $874.49 E. $665.90
- Assume that you wish to purchase a 30-year bond that has a maturity value of P1,000 and a coupon interest rate of 9.5%, paid semiannually. If you require a 6.75% rate of return on this investment, what is the maximum price that you should be willing to pay for this bond? P1,352 P1,450 P675 P1,111Assume that you are considering the purchase of a 5-year, noncallable bond with an annual coupon rate of 8.00%. The bond has a face value of $1000, and it makes semiannual interest payments. If you require an 11.55% yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond? Round your answer to two decimal places. For example, if your answer is $345.6671 round as 345.67 and if your answer is .05718 or 5.7182% round as 5.72.you re creating a yield curve in order to price some forward rate agreements. You have assembled the following prices for bonds (all of which pay semi-annual coupons): Maturity Coupon (per annum) Price (per $100 face value) 6 months 2.25% 98.1363 12 months 1.75% 95.3758 18 months 6.50% 99.1579 (a) What are the discount factors for: i. 6 months? ii. 12 months? iii. 18 months? (b) What is the 6-18 month forward rate, quoted with semi-annual compounding?