The estimated current purchasing price of a discount bond with a face value of $2000 and a yield to maturity of 10% is $ your response to the nearest two decimal place) What is the approximate yield to maturity on a discount bond that matures one year from today with a maturity value of $10,600, and the price today is $9283.67? O A. 83% OB. 14.2% (Round O C. 7% O D. 8.3% OE. 9%
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- How much would you pay for a perpetual bond that pays an annual coupon of $200 per year and yields on competing instruments are 5%? You would pay $. (Round your response to the nearest penny.) Part 2 If competing yields are expected to change to 8%, what is the current yield on this same bond assuming that you paid $4,000? The current yield is %.(Round your response to the nearest integer.) Part 3 If you sell this bond in exactly one year, having paid $4,000, and received exactly one coupon payment, what is your total return if competing yields are 8%? Your total return is %.How much would you pay for a perpetual bond that pays an annual coupon of $200 per year and yields on competing instruments are 5%? You would pay $. Part 2 If competing yields are expected to change to 8%, what is the current yield on this same bond assuming that you paid $4,000? The current yield is %.(Round your response to the nearest integer.) Part 3 If you sell this bond in exactly one year, having paid $4,000, and received exactly one coupon payment, what is your total return if competing yields are 8%? Your total return is %.Suppose that, holding yield constant, investors are indifferent as to whether they hold bonds issued by the federal govemment or bonds issued by state and local governments (that is, they consider the bonds the same with respect to default risk, information costs, and liquidity) Suppose that state governments have issued perpetuities (or consoles) with $78 coupons and that the federal govemment has also issued perpetuities with $78 coupons. If the state and federal perpetuites both have after-tax yields of 8%, what are their pre-tax yields? (Assume that the relevant federal income tax rate is 31.13%) * The pre-tax yield on the state perpetuity will be______________% * The pre-tax yield on the federal perpetuity will be_______________%
- Please do your own work, don't copy from the internet Q3) (For the first 20 bond problems, assume interest payments are on an annual basis.) Bond value (LO10-3) The Lone Star Company has $1,000 par value bonds outstanding at 10 percent interest. The bonds will mature in 20 years. Compute the current price of the bonds if the present yield to maturity is 6 percent. 9 percent.Consider the market for a bond which has a face value of $2,000, pays a coupon of $100, and matures in 1 year (that is, you will get the face value and one coupon payment next year). Suppose the demand for such bonds is given by P=4,000-2Q, and that the supply of such bonds is given by P=1,000+Q. What is the yield to maturity if one were to purchase the bond at the equilibrium price? 5% .05% 10% .10%The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate?
- The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate? d) Suppose that the bond trades at premium. Is there excess demand or supply? Explain.e) There is a business cycle expansion, so both supply and demand shifts. After the shift, thenew demand curve is given by: D = 4000 + X − 2P, whereas the new supply curve is S =2P + 200. For which values of X will the interest increase/decrease? Which values of X arein line with empirical data?A semiannual payment bond with a $1,000 par has a 7 percent quoted coupon rate, a 7 percent promised YTM, and 10 years to maturity. What is the bond's duration? If interest rates are expected to rise by one half of a percent, by how much would you expect the price to change using the modified duration equation? How much would you expect the price to change using convexity? You need to use the bond duration and convexity calculator to answer this question.Suppose that you are obtaining a personal loan from your uncle in the amount of $20,000 (now) to be repaid in two years to cover some of your college expenses. If your uncle usually earns minimum 8% profit (annually) on his money, which is invested in various sources. 1) What minimum lump-sum payment two years from now would make your uncle happy? 2) If you pay yearly, how much should you pay each year? 3) If you pay every six months, how much should you pay every six months?
- 108.) If a General Motors bond brings a 7% annual return, the nominal return on a US Treasury bond that is not inflation indexed is 4%, and the real interest rate is 2%, what is the expected annual inflation rate and default risk on General Motors bond, respectively? 2%, 3% 2%, 2% 4%, 1% 3%, 4%3. Suppose the investment yield on a 91-day T-bill is 3%. What is its discount- basis yield? Show your solutiond)Assume that all the information given previously is the same and the defaultrisk premium for corporate bonds rated AAA is 1.5 percent, whereas it is4 percent for corporate bonds rated B. Compute the interest rates onAAA- and B-rated corporate bonds with maturities equal to one year, twoyears, three years, four years, five years, 10 years, 20 years, and 30 years.