A 1-year corporate bond will pay the following: 1. The promised amount of $10,000, with probability 70%. 2. only $9,000 with probability 29%; and 3. nothing with probability 1% 1) If the risk-free market interest rate is 5%, wha minimum promised interest rate must the lender demand just to break even

A 1-year corporate bond will pay the following: 1. The promised amount of $10,000, with probability 70%. 2. only $9,000 with probability 29%; and 3. nothing with probability 1% 1) If the risk-free market interest rate is 5%, wha minimum promised interest rate must the lender demand just to break even

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 will be paying $12,800 a year in tuition expenses at the end of the next two years. Bonds currently yield 8% Required: a. What are the present value and duration of your obligation? (Do not round intermediate calculations. Round "Present value" to 2 decimal places and "Duration" to 4 decimal places) Present value Duration Answer is complete and correct. S 22.825 79 14000 years b. What is the duration of a zero-coupon bond that would immunize your obligation and its future redemption value? (Do not round intermediate calculations. Round "Duration to 4 decimal places and "Future redemption value to 2 decimal places.) Duration Future redemption value Answer is not complete. 14800 years
An investor wants to find the duration of a(n) 10-year, 6% semiannual pay, noncallable bond that's currently priced in the market at $541.25, to yield 15%. Using a 250 basis point change in yield, find the effective duration of this bond (Hint: use Equation 11.11). The new price of the bond if the market interest rate decreases by 250 basis points (or 2.5%) is $ (Round to the nearest cent.)
Suppose the interest rate on a 1-year government bond is 3.00%, on a 4-year government bond is 3.50% and that on a 6-year government bond is 4.90%. What is the market's forecast for 2-year rates 4 years from now, assuming the pure expectations theory is correct? Show your work.
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The government has issued a zero coupon bond that will pay $1000 in 19 years. The bond will pay no interim coupon payment. What is the present value of the bond if the discount rate is 6.2%? Answer to 2 decimal places.
Bond J has a coupon rate of 5 percent. Bond K has a coupon rate of 15 percent. Both bonds have eight years to maturity, a par value of $1,000, and a YTM of 11 percent, and both make semiannual payments. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. b. If interest rates suddenly fall by 2 percent instead, what is the percentage change in the price of these bonds? Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. a. Percentage change in price b. Percentage change in price Bond J % % Bond K % %
If the current short rate is 4%, the spread on a 3 year bond is 2%, the expectations hypothesis holds and there are no risk premia, what is the forecasted YTM on a two year bond next year?
26. Suppose that a long-term coupon bond with a coupon rate of 5% is purchased today at its face value of $1,000 and resold a year later for a price of $950. The holding period return for the bond is equal to: a. 0% b. 2% c. 3% d. 5% 27. A decrease in the market interest rate will cause the value of a bank's portfolio of fixed-payment loans to: a. rise b. fall c. remain unchanged d. rise or fall, depending on the maturity of the bonds 28. A risk-free consol provides an annual payment of $50. If the market interest rate is 5%, the price of the consol will be: a. $55 b. $500 c. $1,000 d. $1,050
An insurance company must make payments to a customer of $10 million in one year and $5 million in five years. The yield curve is flat at 10%. Required: a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. What must be the face value and market value of that zero-coupon bond? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. a. Maturity of zero coupon bond b. Face value b. Market value years million million
A Bank offers both loans and deposits at a nominal interest rate of 4% that is continuously compounded. What is the effective rate offered by the bank? The bank also offers a 3-year bond with face value £10000, redeemable at par, with 10% annual coupons. What is the final payment of that bond? Assuming there are no arbitrage opportunities, what is the price of the above bond? Give your answer to five valid digits.
4. Suppose that the market rate of interest is 12 per cent on a government bond with a perpetuity payment, which is a coupon value (annual payment) of £6 per year indefinitely. The face value of the loan is £100. a) Define and calculate the price of the bond? Answers.. b) At what yield (or rate) will the loan be trading at par? Explain whether it is trading above or below par in a). Answers... c) Assume that the rate of interest is 'expected' to drop to 3 per cent, derive and calculate the rate of capital gain (or loss)? Answers . d) Derive and explain the expression for the number of bonds held representing the amount of money spent on bonds (B) with the corresponding mean rate of return (HR). Answers.. e) Imagine that W = £40,000, what is the amount spend on bonds, B', if the standard deviation (SD) of earnings (s) is equal to 0.10 with a 3,000,the SD of the total return on bonds, SR. What is the money holding, which is M*? Answers.. Find the mean return on bonds with u = 1. Answer..
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