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

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

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 commercial bank invests in a loan with a current market value of $600,000 and a maturity of 3 years. The bank partially funds the loan by issuing a zero coupon bond with a maturity (principal) value of $450,000 and a duration of 3 years. The current market rate is 7% and interest rates are expected to increase by 1%. Which of the following statements is true? (a) The current equity value of the position is $150,000 and if interest rates increase the equity value will increase. (b) The current equity value of the position is $232,666 and if interest rates increase the equity value will increase. (c) The current equity value of the position is $232,666 and if interest rates increase the equity value will decrease. (d) The current equity value of the position is $150,000 and if interest rates increase the equity value will remain the same. (e) None of the given answers. The current equity value of the position is $232,666 and if interest rates increase the equity value will remain the…
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(Immunization of FI) Consider a financial institution whose asset and liability both consist of coupon bonds only. The asset is a 10-year bond with face value $100 million, coupon rate 9.8% and yield 4%, while the liability is a 15-year bond with face value $100 million, coupon rate 8.2% and yield 4%. Both bonds pay coupon semiannually. Assume parallel yield shift. Required precision: 4 digits after decimal point for duration calculation; 2 digits after decimal point for dollar amount in million, e.g. $12.34 million; 4 digits after decimal point for percentage (coupon) rates, e.g. 1.2345%. (a) What are the market values of asset, liability and equity of this FI? What is its leverage-adjusted modified duration gap? (b) According to the duration model, what would the market value of equity be for a 10 basis points decrease in the yield? (c) To immunize itself from interest rate risk, the FI plans to restructure its asset bond by adjusting its face value and coupon rate, while keeping the…
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
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Give typing answer with explanation and conclusion
A company must make a payment of $2500 in 5 years. Four-year zero coupon bonds and seven-year zero coupon bonds are available for investment. These bonds could be purchased in any quantity and the yield rate is 3% effective. Let A and B be the face values of the 4-year and 7-year zero-coupon bonds, respectively, that are purchased to satisfy full immunization against any changes in interest rates. Find A. Possible Answers A 1262 1431 C 1618 D 1725 E 1962
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 % %
Third Mortgage Investors makes money by purchasing mortgage backed securities (MBS), stripping them into interest only (IO) and principal only (PO) components, and selling the components for more than it paid for the original security. Suppose the company purchases a $100,000 Face value MBS carrying a coupon of 9 percent and a maturity of 30 years. Assume for the purpose of the following analysis, the MBS will make payments on an “ANNUAL BASIS.” What is the remaining principal balance on the MBS if it survives 1-year? 3-years? 5 years? 8 years?
Bond A makes semi-annual interest payments of $30. Bond B makes an annual payment of $50. All else equal, which one has the lower coupon rate? Select one: a. B b. A=B c. A
A financial institution uses a loan base rate of 4.35% and sets the credit risk premium at 6.68%. The institution charges a 1.5% loan origination fee and imposes 3.22 % compensating balances. The required reserves for this institution are 10%. Additionally suppose your institution specifies the following linear probability model to estimate the probability of default: PD = Bo - Bi Wealth-B2Credit Score + B3 Number of Bankruptcics Bo = 10, 109.5 %3D B1 = 0.10 %3D B2 = 0.20 %3D B3 = 0.60 %3D Use the information above to answer the question. What is the gross rate of return on the loan? O 9.31% O 11.03% O 12.53% O 12.90%
Could you also include the formula that you use when working out the calculation, for example part A asks the new bond value, could you include a formula to show how this is calculated Consider a bank with the following balance sheet (M means million): Assets Value Duration of the Asset Convexity of the Asset 5yr bond bought at a yield of 3.4% (lending money) $550M 4.562 12.026 12yr bond bought at a yield of 4% (lending money) $800M 9.453 53.565 Liabilities Value Duration of the Liability Convexity of the Liability 2yr bond sold at a yield of 2.4% (borrowing money) $300M 1.941 2.384 4yr bond sold at a yield of 2.8% (borrowing money) $500M 3.759 8.206 Required a) If the interest rates go up by 1%, using the duration and convexity rule to determine the net worth of the bank and the equity to asset ratio; (Hint: equity to asset ratio = total equity/total asset) b) In a)’s scenario, to maintain the equity to asset…

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