An insurance company must make payments to a customer of $10 million in one year and $4 million in five years. The yield curve is flat at 10%. 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? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Maturity of zero coupon bond b. What must be the face value and market value of that zero-coupon bond? (Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places.) Face value Market value years million million

An insurance company must make payments to a customer of $10 million in one year and $4 million in five years. The yield curve is flat at 10%. 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? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Maturity of zero coupon bond b. What must be the face value and market value of that zero-coupon bond? (Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places.) Face value Market value years million million

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 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%, what minimum promised interest rate must the lender demand just to break even , 2) Then, what would be the default premium on this bond under a risk-neutral world. 3) If the bond, however, has a promised rate of return of 11%, what is the risk premium on this bond under a risk-averse world
A firm issues a one-year bond with face value 1000 at time T and the firm’s assets value is 1,500 and the volatility of the firm’s assets is 0.3. What is the distance to default of this firm in KMV model? What is the probability of default?
PICK ONE: Explain why YOU: Suppose that 6 months after you purchase the bond, the market rate for interest on this type of bond falls to 7.00%. This will cause the (coupon / market price / par value) to (fall / rise). From the issuer’s perspective, the lower interest rate means that he or she would be (worse / better) off issuing new bonds at this lower rate than continuing to pay you 9%.
Suppose the current yield on a one-year zero-coupon bond is 4%, while the yield on a five-year zero-coupon bond is 6%. Neither bond has any risk of default. Suppose you plan to invest for one year. You will earn more over the year by investing in the five-year bond as long as its yield does not rise above what level? (Assume $1 face value bond.) Hint: It is best not to round intermediate calculations-make sure to carry at least four decimal places in intermediate calculations. Note: Assume annual compounding. The yield should not rise above %. (Round to two decimal places.)
A bank wishes to hedge its $30 million face value bond portfolio (currently priced at 99 percent of par). The bond portfollo has a duration of 9.75 years. It will hedge with T-bond futures ($100,000 face) priced at 98 percent of par. The duration of the T-bonds to be delivered is nine years. How many contracts are needed to hedge? Should the contracts be bought or sold? Ignore basis risk.
a. What is the duration of a two-year bond that pays an annual coupon of 11.5 percent and has a current yield to maturity of 13.5 percent? Use $1,000 as the face value. (Do not round intermediate calculations. Round your answer to 4 decimal places. (e.g., 32.1616)) b. What is the duration of a two-year zero-coupon bond that is yielding 11.5 percent? Use $1,000 as the face value. a. Duration b. Duration years years
Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
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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 % %
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
Which statements is INCORRECT? Treasury bonds (T-bond) have maturities up to 30 years A coupon bond is called a discount bond when its market price is less than its fair price A bond's yield to maturity (YTM) is the return an investor earns if holding the bond until its maturity Treasury bills (T-bill) have maturities up to one year
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