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 8% and yield 6%, while the liability is a 15-year bond with face value $100 million, coupon rate 7.5% and yield 6%. 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. (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 30 basis points decrease in the yield? What would this mean for the FI? (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 bond's value (and hence the market value of asset) and yield unchanged. What should be the new face value and coupon rate? (There are two equations, one for matching the market value of assets and the other for eliminating the leverage-adjusted modified duration gap.) (d) Assume the immunization in (c) is successfully implemented. Immediately after the implementation, both yields decrease from 6% to 5.7%. What are the market values of asset, liability and equity now? 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 8% and yield 6%, while the liability is a 15-year bond with face value $100 million, coupon rate 7.5% and yield 6%. 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. (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 30 basis points decrease in the yield? What would this mean for the FI? (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 bond's value (and hence the market value of asset) and yield unchanged. What should be the new face value and coupon rate? (There are two equations, one for matching the market value of assets and the other for eliminating the leverage-adjusted modified duration gap.) (d) Assume the immunization in (c) is successfully implemented. Immediately after the implementation, both yields decrease from 6% to 5.7%. What are the market values of asset, liability and equity now