Everything else being equal, the price of which of the following bonds is most sensitive to interest rate changes? A 15-year zero-coupon bond B) A 15-year 4% coupon bond C) A 15-year 8% coupon bond D) A 20-year zero-coupon bond E) A 20-year 8% coupon bond
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Everything else being equal, the price of which of the following bonds is most sensitive to interest rate changes?
A 15-year zero-coupon bond
B) A 15-year 4% coupon bond
C) A 15-year 8% coupon bond
D) A 20-year zero-coupon bond
E) A 20-year 8% coupon bond
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- 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.)Which one of the following bonds is the least sensitive to interest rate risk? Group of answer choices 5-year; 7 percent coupon 10-year; 6 percent coupon 10-year; 7 percent coupon 15-year; 6 percent coupon 15-year; 7 percent couponThe current zero-coupon yield curve for risk-free bonds is as follows: What is the price per $100 face value of a two-year, zero-coupon, risk-free bond? The price per $100 face value of the two-year, zero-coupon, risk-free bond is $ Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) 1 2 YTM 4.99% 5.53% Print 3 5.72% Done (Round to the nearest cent.) 4 5.92% 5 6.07% X
- What is interest rate (or price) risk? Which bondhas more interest rate risk: an annual payment1-year bond or a 10-year bond? Why?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?…What makes duration of a bond different from its term to maturity? Answer must be limited to one sentence. If bond P has a 12 percent coupon and term-to-maturity 8 years while bond Q has a 17 percent coupon and term-to-maturity 11 years, which bond has shorter duration and why?
- 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 105Holding other factors constant, which one of the following bonds has the largest measure of duration? O Cannot tell from the information given O 7-year, 10% coupon bond 11-year, 0% coupon bond O 7-year, 0% coupon bond O 11-year, 10% coupon bondAssume that each bond has the same YTM. Which of the following four bonds has the least dependence on reinvestment income to generate the current YTM? Bond B Bond C Bond D Bond A B C D O All four bonds have the same dependence on reinvestment income. Bond A Maturity 15 years 15 years 15years. 20 years Coupon Rate (%) 0 7 8 8
- QUESTION ONE What are the main characteristics of a bond? Provide examples of different types of bonds in terms of coupons and maturity. 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. You are asked to put value on a bond which promises 8 annual coupon payments of £50 and will repay its face value of £1000 at the end of 8 years. You observe that other similar bonds have yields to maturity of 9%. How much is this bond worth? You are offered the bond for a price of £755.5, what yield to maturity does this represent? You believe that next year XYZ plc will pay a dividend of £2 on its common stock. Thereafter, you expect dividends to grow at a rate of 4% a year in perpetuity. If you require a return of 12% on your investment. How much should you be prepared to pay for the stock? Assuming that the expected stock price at the end of year 5 is £37.6, calculate the return on…First, it is known that two bonds have the same redemption value and coupon rate and are priced at the same yield rate. The first bond has a tenor of 4 years, while the second bond has a tenor of 10 years. The market yield rate then falls by 1% such that the prices of the first and second bonds change by D1% and D₂%, respectively, from their initial prices. Determine the relationship between D1 and D₂ Notes: |x| is the absolute value of x. a. D1 and D2 have negative signs and |D1|>|D2|.b. D1 and D2 have a positive sign and |D1|>|D2|.c. D1 and D2 have positive signs and |D1|<|D2|.d. D1 and D2 have different signs and |D1|>|D2|.e. D1 and D2 have different signs and |D1|<|D2|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?