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- Consider two bonds. The first is a 6% coupon bond with six years to maturity, and a yield to maturity of 4.5% annual rate, compounded semi-annually. The second bond is a 2% coupon bond with six years to maturity and a yield to maturity of 5.0%, annual rate, compounded semi-annually. a. Draw a cash flow diagram for each bond. b. Calculate the current price per $100 of face value for each bond.Consider a 20-year bond with a face value of $1,000 that has a coupon rate of 5.7%, with semiannual payments. a. What is the coupon payment for this bond? b. Draw the cash flows for the bond on a timeline. (Round to the nearest cent.)Consider buying a $1,000-denomination corporate bond at the market price of $996.25. The interest will be paid semiannually at an interest rate per payment period of 4.8125%. Twenty interest payments over 10 years are required. We show the resulting cash flow to the investor as shown. Find the return on this bond investment (or yield to maturity).
- Assume that the credit risk on a 5 year6 percent annual coupon corporate bond is represented by a 1.5 percent annual probability of default and a recovery rate of 25 percent. Assume that the government yield curve is flat at 2.5 percent. Calculate both the credit spread and credit valuation adjustment for the bond. INCLUDE DETAILED CALCULATION***Consider the following hypothetical investment for the fund. Issue a one-month liability and purchase a $1,000, 15-year, 5% coupon Treasury bond. Assume that the one-month interest rate is currently 2% and that the 15-year interest rate is currently 5%. How much in liabilities would the fund have to issue to finance the purchase of the Treasury bond? At the end of one year the fund has received the coupon-interest payment on the bond and paid interest on its short-term liabilities. What is the net earnings for the fund for that year? What is the value of the bond investment at the end of the year (there are 14 years to maturity remaining on the bond) assuming that the long-term rate is still 5%? What is the net asset value (market value of assets minus liabilities) of the fund?Consider a 10-year bond with a face value of $1,000 that has a coupon rate of 5.9%, with semiannual payments. a. What is the coupon payment for this bond? b. Draw the cash flows for the bond on a timeline. a. What is the coupon payment for this bond? The coupon payment for this bond is $ (Round to the nearest cent.)
- Suppose you are considering two possible investment opportunities: a 12-yearTreasury bond and a 7-year, A-rated corporate bond. The current real risk-free rateis 4%, and inflation is expected to be 2% for the next 2 years, 3% for the following4 years, and 4% thereafter. The maturity risk premium is estimated by this formula:MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimatedto be 0.3%. You may determine the default risk premium (DRP), given thecompany’s bond rating, from the table below. Remember to subtract the bond’s LPfrom the corporate spread given in the table to arrive at the bond’s DRP. Whatyield would you predict for each of these two investments?RateCorporate Bond YieldSuppose that the interest rate on one-year bonds is currently 4 percent and is expected to be 5 percent in one year and 6 percent in two years. Using the expectations hypothesis, compute the yields on two- and three-year bonds and plot the yield curve.A portfolio consists of two types of loans. The first is a $30 million loan that requires a single payment of $37.8 million in 3 years, with no other payments until then. The second loan is for $40 million. It requires an annual interest payment of $3.6 million. The principal of $40 million is due in 3 years. Assume that the current interest rate is 9%. a. Complete the following table to compute the duration of the second loan. Note: You may copy the table, paste it on your Word document and complete it. 1 Year 2 3. Sum Cash payments 3.60 3.60 43.60 ($million) Present value |(PV) of cash payments ($million) Weighted PV |(%) Weighted maturity (years) a. Compute the duration of the portfolio. c. What will happen to the value of the portfolio if the general level of interest rate increases from 9% to 9.5%?
- Submit your solutions as an Excel document. Be sure to clearly label the various parts of the problem. 1. Consider the following two bonds that make semi - annual coupon payments. Assume the first coupon payment occurs in exactly six months, and the bond has a face value of $1000. Coupon Rate Time to Maturity YTM Bond A 3.80% 8 years 3.6% Bond B 3.80% 18 years 4.2% a.) What is the current price (t = 0) of Bond A? Be sure to set up the valuation equation. b.) What will be the price of Bond A exactly halfway in between t = 0 and the first coupon date? c.) Using a spreadsheet, plot the price - yield relationship for both Bond A and Bond B on the same set of axes. Do this for a range of yields from 2% to 11% (in increments of 50 basis points). d.) Use a spreadsheet to compute the annualized Macaulay duration and modified duration for Bond A at a yield - to - maturity of 3.6%. Provide an interpretation of the modified duration with regards to maturity and interest rate risk. e.) Use a…Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, AA-rated corporate bond. The current real risk-free rate is 3%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.3%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Corporate Bond Yield Rate Spread = DRP + LP U.S. Treasury 0.73 % — AAA corporate 0.93 0.20 % AA corporate 1.33 0.60 A corporate 1.75 1.02 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: 6.553%----->correct 7-year Corporate yield: ? %…Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, AA-rated corporate bond. The current real risk-free rate is 3%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.3%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Corporate Bond Yield Rate Spread = DRP + LP U.S. Treasury 0.73 % — AAA corporate 0.93 0.20 % AA corporate 1.33 0.60 A corporate 1.75 1.02 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: 10.533 % 7-year Corporate yield: 9.597% Given…
