5. 6. Use the following information to answer Questions 5 and 6 You are given the following binomial interest model. Compounding is annual. t = 0 t = 1 i1,H = 3.6% io = 2% ίο i1,L = 2.8% Bond F is a 2-year 4% annual coupon bond with a face value of $100, callable at time t = 1. Find the price of the call option embedded in Bond F. Bond G is 2-year 2.5% annual coupon bond with a face value of $100, putable at times t = 0, and t = 1. Find the price of the put option embedded in Bond G.

5. 6. Use the following information to answer Questions 5 and 6 You are given the following binomial interest model. Compounding is annual. t = 0 t = 1 i1,H = 3.6% io = 2% ίο i1,L = 2.8% Bond F is a 2-year 4% annual coupon bond with a face value of $100, callable at time t = 1. Find the price of the call option embedded in Bond F. Bond G is 2-year 2.5% annual coupon bond with a face value of $100, putable at times t = 0, and t = 1. Find the price of the put option embedded in Bond G.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Unlike the coupon interest rate, which is fixed, a bond's yield varies from day to day depending on market conditions. To be most useful, it should give us an estimate of the rate of return an investor would earn if that investor purchased the bond today and held it for its remaining life. There are three different yield calculations: Current yield, yield to maturity, and yield to call. A bond's current yield is calculated as the annual interest payment divided by the current price. Unlike the yield to maturity or the yield to call, it does not represent the actual return that investors should expect because it does not account for the capital gain or loss that will be realized if the bond is held until it matures or is called. This yield was popular before calculators and computers came along because it was easy to calculate; however, because it can be misleading, the yield to maturity and yield to call are more relevant. The yield to maturity (YTM) is the rate of return earned on a…
Give typing answer with explanation and conclusion Consider a coupon bond with coupon payment=4.25, M=100, and n=2. Suppose ?1 = 4% and ?2 = 4.24%. Consider a forward contract for the delivery of the coupon bond in one period from today. Calculate the forward price using the following two approaches: 1) use the forward rate to price the forward contract; 2) use the cost of carry approach: spot-forward parity adjusted for the coupons.
Calculate YTC using a financial calculator by entering the number of payment periods until call for N, the price of the bond for PV, the interest payments for PMT, and the call price for FV. Then you can solve for 1/YR YTC. Again, remember you need to make the appropriate adjustments for a semiannual bond and realize that the calculated 1/YR is on a periodic basis so you will need to multiply the rate by 2 to obtain the annual rate. In addition, you need to make sure that the signs for PMT and FV are identical and the opposite sign is used for PV; otherwise, your answer will be incorrect. A company is more likely to call its bonds if they are able to replace their current high-coupon debt with less expensive financing. A bond is more likely to be called if its price is above par-because this means that the going market interest rate is less than its coupon rate. Quantitative Problem: Ace Products has a bond issue outstanding with 15 years remaining to maturity, a coupon rate of 8.4%…
Suppose we observe the following rates: 1R1= 0.75%, 1R2=1.20%, E(2r1)=0.907%. If the liquidity premium theory of the term structure of interest rates holds, what is the liquidity premium for year 2, L2?
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 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 %
Using the binomial call option model to find the current value of a call option with a $25 exercise price on a stock currently priced at $26. Assume the option expires at the end of two periods, the riskless interest rate is ½ percent per period. What are the hedge ratios?
Consider the following pure discount bonds with face value $1,000: Maturity Price 1 952.38 2 898.47 3 847.62 4 799.64 5 754.38 a). Find the spot rates and draw a yield curve.b). Assume that there is a constant liquidty premium that is equal to 1% across all maturities. Find the forward rates and the expected one period future interest rates.
There 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
Suppose we observe the following rates: 1R1 = 6.7, 1R2 = 7.4, and E(2r1) = 6.7. If the liquidity premium theory of the term structure of interest rates holds, what is the liquidity premium for year 2? Please step by step.
In calculating the current price of a bond paying semiannual coupons, one needs to O use double the number of years for the number of payments made. O use the semiannual coupon. O use the semiannual rate as the discount rate. O All of the above needs to be done.
Consider a bond with a face value of $1000. An increase and decrease in 1 bp results in the price changing to 995.12707 and 996.09333, respectively. What is its PVBP?
13. Consider a coupon bond with coupon payment=4.25, M=100, and n=2. Suppose ?1 = 4% and ?2 = 4.24%. Consider a forward contract for the delivery of the coupon bond in one period from today. Calculate the forward price using the following two approaches: 1) use the forward rate to price the forward contract; 2) use the cost of carry approach: spot-forward parity adjusted for the coupons.

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