2. (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?

2. (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?

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter4: Bond Valuation

Section: Chapter Questions

Problem 21P: Bond Valuation and Changes in Maturity and Required Returns Suppose Hillard Manufacturing sold an...

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Bond Valuation and Changes in Maturity and Required Returns Suppose Hillard Manufacturing sold an issue of bonds with a 10-year maturity, a 1,000 par value, a 10% coupon rate, and semiannual interest payments. a. Two years after the bonds were issued, the going rate of interest on bonds such as these fell to 6%. At what price would the bonds sell? b. Suppose that 2 years after the initial offering, the going interest rate had risen to 12%. At what price would the bonds sell? c. Suppose that 2 years after the issue date (as in Part a) interest rates fell to 6%. Suppose further that the interest rate remained at 6% for the next 8 years. What would happen to the price of the bonds over time?
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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…
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