c) Suppose you observe the following three bonds. Assume that all bonds are denominated at $100 face value per contract and that they pay their coupons annually. Price Coupon Maturity (years) Bond A 111.42 15 Bond B 108.33 15 2 Bond C 116.61 15 1 i) Compute the spot rates r0,1, r0,2 and r0,3. ii) Compute the forward rates r1,2 and r2,3.

c) Suppose you observe the following three bonds. Assume that all bonds are denominated at $100 face value per contract and that they pay their coupons annually. Price Coupon Maturity (years) Bond A 111.42 15 Bond B 108.33 15 2 Bond C 116.61 15 1 i) Compute the spot rates r0,1, r0,2 and r0,3. ii) Compute the forward rates r1,2 and r2,3.

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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You consider purchasing bonds today. There are three future time periods, t = 1, 2, 3, wherebonds can have payoffs. Consider the following 4 bonds: a) One amortizing bond paying $40 each period trading at a price of $104.95.b) One amortizing bond paying less in early periods and more in later periods. The bond pays $40 inperiod 1, $30 in period 2, and $20 in period 3. This bond is trading at a price of $80.61.c) One coupon bond with a 11% coupon rate trading at a price of $96.08.d) One zero coupon, which currently trades at a price of $77.22. Suppose you can take long or short positions in any bond, and also lend or borrow money. Is it possibleto construct an arbitrage trade where you pay nothing upfront, and get a certain payoff in period 1? If so,describe how you would do this trade.
Listen Assume that there is a bond that pays $20.00 at the and of year 2, and $105.00 at the end of year 7. It sells at a total =$(20.00+105.00). The Macauley duration of the bond is? Answer with two digits decimal accuracy. Blank Excel Worksheet Your Answer
The following information about bonds A, B, C, and D are given. Assume that bond prices admit noarbitrage opportunities. What is the convexity of Bond D?Cash Flow at the end ofBond Price Year 1 Year 2 Year 3A 91 100 0 0B 86 0 100 0C 78 0 0 100D ? 5 5 105
Suppose you are provided with the following table of spot rates of different maturity bonds: Year Spot rate 1 8 2 9 3 7 4 8 5 10 Calculate, respectively, one period forward rates of these bonds for year 2, year 3 and year 4.
B. Directions: Compute for the following given statement and justify your answer. 1. Consider two bonds. Bond A has a face value of P100,000 and a stated rate of 12%. Bond B has a face value of P100,000 and a stated rate of 8%. Both bonds have the same maturity. Which bond has the greatest interest rate risk? 2. Consider two bonds. Bond X has a face value of P100,000 and five years remaining to maturity. Bond Y has a face value of P100,000 and ten years remaining to maturity. Both bonds have the same stated rate of 12%. Which bond has the greatest interest rate risk?
Consider a one-year discount bond that has a present value of P1,500. If the rate of discount is 4 percent, the future value of the bond (the amount the bond pays in one year) is? a. P1,560.00 b. P1,540.00 c. P1,440.00 d. 1,442.31
Bonds have a maturity risk premium that can be modeled as the following:MRP = (t-1) 0.3%were t represents the years to maturity. What is the Maturity risk premium of a bond that matures in 8 years? answer in % without the symbol
Consider a one-year discount bond that has a present value of P1,500. If the rate of discount is 4 percent, the future value of the bond (the amount the bond pays in one year) is * P1,560.00 P1,540.00 P1,440.00 O P1,442.31
K Assume that a bond will make payments every six months as shown on the following timeline (using six-month periods): 0 2 5 Period $19.53 a. What is the maturity of the bond (in years)? b. What is the coupon rate (as a percentage)? c. What is the face value? Cash Flows View an example Get more help. ★ a. What is the maturity of the bond (in years)? The maturity is years. (Round to the nearest integer.) A 6 1 MacBook Pro & 7 $19.53 * 8 9 C 59 $19.53 60 $19.53+$1,000 Clear all BUB 0 {
Select the correct answer to each of the following statements. A. Increase B. Decrease C. Remain Constant 1. The amount of interest expense will _______ each payment period for a bond issued at a discount. 2. When a bond is issued at a discount, the cash interest payment will _________ over the life of the bond. 3. When a bond is issued at a premium, the carrying value of the bond will _______ over the life of the bond.
(a) Determine what is the payment stream of the bond. (b) Determine the effective duration of the bond's payments if interest is compounded annually at rate 3%. State your answer to three significant figures. (c) Find the duration of the bond's payments if interest is compounded continuously at rate 3%. State your answer to three significant figures.
This first table describes prevailing market interest rates. Market Data Yield 0.05 Required: Using the yield above and the information contained in the table below, please calculate the price and duration of the bond as well as all necessary steps. (Use cells A5 to B5 from the given information to complete this question.) Time Until Payment Payment Discounted Payment Weight Time × Weight 1.00 $30.00 2.00 $30.00 3.00 $30.00 4.00 $1,030.00 Price: Duration

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