Assume a $3 million portfolio has $ 500,000 of bonds in each of the following maturities: 2 year, 3 year, 4 year, 17 year, 18 year, and 19 year. Which one of these strategies is this portfolio using?
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- Calculate the duration (and price) of a bond with the following characteristics: A semi-annual payment bond with a $1,000 face value, a 4,5% coupon rate, a 7.8% YTM, and 8 years to maturity. Show your table of calculations or show Excel inputs if using the Excel commands.Consider a $1,000-par-value Bond with the following characteristics: a current market price of $761, 12 years until maturity, and an 8% coupon rate. We want to determine the discount rate that sets the present value of the bond’s expected future cash-flow stream to the bond’s current market price. You are required to determine the discount rate that equates the present value of the bond?Suppose that a bond with an 8% coupon rate and semiannual coupons has a face value of $1,000, 10 years to maturity. The required rate (Yield to Maturity, YTM) is 5%. Draw a timeline to identify the amount and timing of cash flows obtained with the bond and calculate the bond value. Redo part (a) if YTM is 10%. Next, use the results of parts (a) and (b) to show the relationship among YTM, coupon rate and bond value.
- To expand its business, the Computer Source Ltd. would like to issue bonds with par value of $1,000,coupon rate of 10%, and maturity of 10 years from now. Required: a) What is the value of the bond if the required rate of return is i) 8%, ii) 10%, and iii) 12%?b) Name each of these bonds based on values calculated in part aSuppose 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 Show Transcribed Text B) How could you construct a 1-year forward loan beginning in year 3? (Face Value) C) How could you construct a 1-year forward loan beginning in year 4? (Face Value) Required A Required B Complete this question by entering your answers in the tabs below. Face value Rate of synthetic loan → Show Transcribed Text Price $ 970.93 898.39 836.92 How could you construct a 1-year forward loan beginning in year 3? Note: Round your Rate of synthetic loan answer to 2 decimal places. Required A 776.20 685.42 Required B Face value Rate of synthetic loan Required C 7.85 % Required C How could you construct a 1-year forward loan beginning in year 4? Note: Round your Rate of synthetic loan answer to 2 decimal places. Ċ 13.29 %Calculate the duration (and price ) of a bond with the following characteristics: A semi - annual payment bond with a $1,000 face value, a 4.5% coupon rate, a 7.8% YTM, and 8 years to maturity. Show your table of calculations or show Excel inputs if using the Excel commands.
- 2) You have a liability of 1,000 at the end of year 1 and another liability of L at the end of year 2. You create a portfolio of assets that exactly match your liabilities using the following available bonds with annual coupons: Term of bond Coupon Rate Yield Rate 3% 6% 1-year 2-year 5% 8% Find L if you invested 932 to purchase the 1-year bond.Consider a bond with face value $20,000, coupon rate of 10%, YTM of 8%, and a maturity date 22 years from today. a. Assuming the new YTM for the bond holds, trace bond value, current yield, and capital gains yield over the lifetime of the bond. do all of this in excelThere are three bonds that mature at the same time, have the same par value, and are expected to pay their first annual coupon 1 next year. The bonds are detailed in the below table. Bond A B с PV PV PV Present Value B ? ? ? PV B If ca r, then what can we say about the prices of the bonds today? (Enter >, <, or ?) PV C PV Yield to Maturity C r rb Coupon Rate ca с с
- Compute the Macaulay duration under the following conditions: a. A bond with a four-year term to maturity, a 10 percent coupon (annual payments), and a market yield of 8 percent. b. A bond with a four-year term to maturity, a 10 percent coupon (annual payments), and a market yield of 12 percent. c. Compare your answers to parts (a) and (b), and discuss the implications of this for classical immunization.The following bonds are offered for your investment portfolio. Compute for the YTM and Value of the bond. Write you final answers to the table provided below. Bond Bond Value Coupon Rate Interest Due Maturity Period Required Rate of Return Offered Price K P10,000 15% Annually 12 yrs. 13% 98-1/2 A 25,000 8% Annually 15 yrs. 9% 102-3/4 P 20,000 10% Semi-Annual 8 yrs. 12% 105 O 15,000 13% Semi-Annual 6 yrs. 16% 96-1/4 I 10,000 13% Quarterly 5 yrs. 12% 103-1/2 Based on the above Bonds for investment, compute for the following: Bond Yield to Maturity Value of Each Bond Decision: Accept or Reject K A P O I Note: For bond K and P used the exact YTM, while for A, O and I compute the Approximate YTM.The value of any financial asset is the present ✓ value of the cash flows the asset is expected to produce. For a bond with fixed annual coupons, its value is equal to the present value of all its annual interest payments and its maturity value as shown in the equation below: Bond's value = VB: Int. Int. (1+ra)² (1+ra)² N + ·+...+ Int. M + (1+ra)* (1+ra) Int. M (1+ra) (1+ra)N + We could use the valuation equation shown above to solve for a bond's value; however, it is more efficient to use a financial calculator. Simply enter N as years to maturity, I/YR as the going annual interest rate, PMT as the annual coupon payment (calculated as the annual coupon interest rate times the face value of the bond), and FV as the stated maturity value. Once those inputs are entered in your financial calculator, you can solve for PV, the value of the bond. Remember that the signs for PMT and FV should be the same, so PV will have an opposite sign. Typically, you would enter PMT and FV as positive…