Consider the following bonds: -Bond A: A 2-year zero-coupon bond with a face value of $100 and 6% YTM. -Bond B: A 2-year par-value bond with a face value of $100 and 6% coupon rate. •Bond C: A 2-year par-value bond with a face value of $100 and 7% coupon rate. Suppose the yield curve shifts upwards by one percent. Which bond among bonds A, B, and C will experience the largest percentage price change? Which will have the lowest percentage price change?

Consider the following bonds: -Bond A: A 2-year zero-coupon bond with a face value of $100 and 6% YTM. -Bond B: A 2-year par-value bond with a face value of $100 and 6% coupon rate. •Bond C: A 2-year par-value bond with a face value of $100 and 7% coupon rate. Suppose the yield curve shifts upwards by one percent. Which bond among bonds A, B, and C will experience the largest percentage price change? Which will have the lowest percentage price change?

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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a.) what are the main characteristics of a bond? Provide examples of different types of bonds in terms of coupons and maturity. b.) explain the difference between "coupon rate" and "yield to maturity ". Show using examples, how changes in the coupon rate and yield to maturity affects the bond price. c.) You are asked to put a value on a bond which promises eight annual coupon of £50 and will repay its face value of £1000 at the end of eight years. You observe that other similar bonds have yields to maturity of 9per cent. i.) How much is this bond worth? ii.) You are offered the bond for a price of £755.5. What yield to maturity does this represent? d.) You believe that next year XYZ plc will pay a dividend of £2 on its common stock. There after you expect dividend to grow at a rate of 4% a year in perpetuity. If you require a return of 12% on your investment. i.) How much should you be prepared to pay for the stock? ii.) Assuming that the expected stock price at the end of…
Suppose you want to figure out the relationship between duration and maturity, so you consider the following three T-Bonds. You compute a. The duration of a two-year Treasury bond with a 10 percent semiannual coupon selling at par b. The duration of a three-year Treasury bond with a 10 percent semiannual coupon selling at par c. The duration of a four-year Treasury bond with a 10 percent semiannual coupon selling at par
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?
The bond shown in the following table attached pays interest annually. a. Calculate the yield to maturity (YTM)for the bond. b. What relationship exists between the coupon interest rate and yield to maturity and the par value and market value of a bond? Explain.
Consider an A-rated bond and a B-rated bond. Assume that the one-year probabilities of default for the A- and B-rated bonds are 1% and 3%, respectively, and that default correlation between the two bonds is 20%. What is the joint probability of default of the two bonds?
er the following: i. Two bonds, both with 10 years to maturity, have the same yield to maturity (equal to 5%) but different coupon rates. Coupon payments are annual. Bond A has a Macaulay duration of 7.06 and bond B has a Macaulay duration of 8.76. Based on this information, explain which bond you think has the lower coupon rate. Be sure to present your reasoning. Bond A in part (i) has a face value of $100 and a coupon rate of 4.5%. What is its price?
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.
How do investors calculate the net present value of a bond? If a bond's coupon payment is C, the interest rate is R, and the bond's coupon payment is made in each period for T years at which time the original principal, P, is repaid, then the bond's present discounted value (PDV) is C A. PDV = + (1 + R) (1 + R? (1 + R)T B. PDV = C(1 + R) + C(1 + R)2 - + C(1 + R)T + P(1 + R)T + C P OC. PDV = - + R R2 RT RT C D. PDV = P + C C (1 + R) (1+R)2 (1 + R)T C E. PDV = + + + + (1 + R) (1+ R)2 (1 + R)T (1 + R)T If the interest rate is 9 percent, what is the present value of a perpetuity that pays $50,000 each year, forever? The perpetuity's value is $ (Enter a numeric response rounded to two decimal places.)
Bond A is a discount bond and has a yield of 4%. Bond B is a premium bond and has a yield of 4%. Which bond has the higher coupon rate? A B
Calculating the risk premium on bonds The text presents a formula where (1+1) = (1-p)(1 +i+x) + p(0) where i is the nominal interest rate on a riskless bond x is the risk premium p is the probability of default (bankruptcy) If the probability of bankruptcy is zero, the rate of interest on the risky bond is When the nominal interest rate for a risky borrower is 8% and the nominal policy rate of interest is 3%, the probability of bankruptcy is %. (Round your response to two decimal places.) When the probability of bankruptcy is 6% and the nominal policy rate of interest is 4%, the nominal interest rate for a risky borrower is %. (Round your response to two decimal places.) When the probability of bankruptcy is 11% and the nominal policy rate of interest is 4%, the nominal interest rate for a risky borrower is %. (Round your response to two decimal places.) The formula assumes that payment upon default is zero. In fact, it is often positive. How would you change the formula in this case?…
Consider a bond that has a life of 2 years and pays a coupon of 10% per annum (with semiannual payments); the yield is 5% per annum with semiannual compounding.(a) What is the bond’s price?(b) What is the bond’s duration?(c) Suppose that the bond price is the one you computed in part (a) and that the 6M, 12M, and 18M zero rates are respectively 4.2%, 4.8% and 5.6% per annum. What is the 2Y zero rate assuming all rates are quoted with semiannual compounding?
Consider a 25-year bond with a face value of $1,000 that has a coupon rate of 5.8%, 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.)

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