Give typing answer with explanation and conclusion A zero-coupon bond with a market-beta of 0.1 promises to pay $1,000 in the first year. However, it may default and pay nothing with probability 0.07. If the risk-free rate is 4.1%, the equity premium is 6.8%, and the CAPM is correct, what would be the bond price today?
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Give typing answer with explanation and conclusion
A zero-coupon bond with a market-beta of 0.1 promises to pay $1,000 in the first year. However, it may default and pay nothing with probability 0.07. If the risk-free rate is 4.1%, the equity premium is 6.8%, and the
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- Assume that the yield curve is YT = 0.04 + 0.001 T. (a) What is the price of a par - $1,000 zero - coupon bond with a maturity of 10 years? (b) Suppose you buy this bond. If 1 year later the yield curve is YT = 0.042 + 0.001 T, then what will be the net return on the bond?(a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? (b) In the next period however, the interest rate changes unexpectedly to i 0 . What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i 0 > i? (c) Suppose alternatively that the market expects that the interest rate will change to i 0 after the initial period. What is the initial value of the consol, and what is the yield from selling it after one period?a) You hold a consol that pays a coupon in perpetuity. The current interest rate is i , and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? b) In the next period however, the interest rate changes unexpectedly to i 0. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if 0 > i?
- Consider the zero coupon Treasury bond yield curve. Suppose a 1 year bond has a yield of 2.13%. The yield curve slopes downwards between maturities of 1 year and 3 years, and then slopes upwards. Which of the following must be true? Group of answer choices A) The yield of a zero coupon bond with maturity 5 years is higher than 2.13%. B) A 1 year positive coupon bond must have a lower price than the zero coupon bond with the same maturity. C) Bond purchasers believe the Fed will decrease rates in the short run, and then increase them in the long run. D) The economy will be in a recession within 2 years. E) C and D.(a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remainunchanged. What will be the price of the consol today? (b) In the next period however, the interest rate changes unexpectedly to i'. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i'> i? (c) Suppose alternatively that the market expects that the interest rate will change to i' after the initial period. What is the initial value of the consol, and whatis the yield from selling it after one period?Suppose there is a large probability that L will default on its debt. For the purpose of this example, assume that the value of Ls operations is 4 million (the value of its debt plus equity). Assume also that its debt consists of 1-year, zero coupon bonds with a face value of 2 million. Finally, assume that Ls volatility, , is 0.60 and that the risk-free rate rRF is 6%.
- Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for 1,135.90, producing a nominal yield to maturity of 8%. However, the bond can be called after 5 years for a price of 1,050. (1) What is the bonds nominal yield to call (YTC)? (2) If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why?(Using algabreic formula to answer) (a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today?(b) In the next period however, the interest rate changes unexpectedly to i'. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i' > i? (c) Suppose alternatively that the market expects that the interest rate will changeto i' after the initial period. What is the initial value of the consol, and what is the yield from selling it after one period?The current yield curve for default-free zero-coupon bonds is as follows: Maturity (Years) 1 YTM (%) 6% 7 9 2 3 Required: a. What are the implied 1-year forward rates? b. Assume that the pure expectations hypothesis of the term structure is correct. If market expectations are accurate, what will be the yield to maturity on 1-year zero-coupon bonds next year? c. Assume that the pure expectations hypothesis of the term structure is correct. If market expectations are accurate, what will be the yield to maturity on 2-year zero-coupon bonds next year? d. If you purchase a 2-year zero-coupon bond now, what is the expected total rate of return over the next year? Ignore taxes. e. What is the expected total rate of return over the next year on a 3-year zero-coupon bond? f. What should be the current price of a 3-year maturity bond with a 9% coupon rate paid annually? g. If you purchased the coupon bond at the price you computed in part (f), what would your total expected rate of return be…
- The current zero-coupon yield curve for risk-free bonds is as follows: coupon, risk-free bond? . What is the price per $100 face value of a two-year, zero- The price per $100 face value of the two-year, zero-coupon, risk-free bond is $ (Round to the nearest cent.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) 1 2 3 YTM 4.95% 5.49% 5.76% 4 5.97% 5 6.09% Print Done -Which of the following statements regarding bonds and their terms is FALSE? *** OA. When we calculate a bond's yield to maturity by solving the formula, Coupon Coupon Coupon + Face Price of an n-period bond = (1 + )" + + + MA (1+)¹ (1+)² the yield we compute will be a rate per coupon interval. OB. The internal rate of return (IRR) of an investment in a zero-coupon bond is the rate of return that investors will earn on their money if they buy a default - free bond at its current price and hold it to maturity. OC. The yield to maturity of a bond is the discount rate that sets the future value (FV) of the promised bond payments equal to the current market price of the bond. OD. Financial professionals also use the term spot interest rates to refer to the default - free zero- coupon yields.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 Suppose now that the current one-period interest rate is 5% and that the markets expects future one period interest rates to decline by %0.5 per year.(a). Assume first that the liquidity premium is constant at 1%. Draw a graph with the spot yield curve, the forward rates curve and a curve showing expected future one-period interest rates.(b). Assume next that the liquidity premium increases by 0.5% per year from initially being 1%. Draw a graph with the spot yield curve, the forward rates curve and a curve showing expected future one-period interest rates.