a. Calculate the leverage-adjusted duration gap of an FI that has assets of $2.3 million invested in 30-year, 9 percent semiannual coupon Treasury bonds selling at par and whose duration has been estimated at 10.07 years. It has liabilities of $1,030,000 financed through a two-year, 6.00 percent semiannual coupon note selling at par with a duration of 1.9143. b. What is the impact on equity values if all interest rates fall 10 basis points-that is, AR/(1+R/2) = -0.0010?

● Calculate and interpret the Macaulay and modified durations of a a) 3-year 10% semi-annual bond (Bond C) when the required yield is 10%, and a b) 3-year zero-coupon bond (Bond D) when the required yield is 10% 16

Consider a CDO with a total notional of $500 million, consisting of three tranches: Senior (75%), Mezzanine (15%), and Equity (10%). The underlying portfolio has a total expected loss of 6%. a. Calculate the expected losses for each tranche, assuming they follow the standard tranche subordination rules. b. If the actual realized losses are 30%, determine the losses allocated to each tranche. c. Plot a graph that shows how the payoff of the holders to the Mezzanine tranche owners varies with the value of the assets in the mortgage pool at the time of maturity. d. Represent this payoff as a combination of payoffs of options and risk-free debt for Mezzanine tranche. e. Suppose the CDO manager decides to create a fourth tranche, called the Super- Senior tranche, which has the highest priority in the cash flow waterfall. If the Super-Senior tranche is sized at 50% of the total notional, recalculate the expected losses for all tranches. (hint: Super- Senior tranche is created out of Senior…

A firm has liabilities of $98 in one year, $100 in two years, and $107 in three years. The firm exactly matches its liabilities by purchasing the following zero or annual coupon bonds redeemable at par:   Bond Maturity Par Value Coupon Rate Effective Yield   A 1 year 100 5% 3%   B 2 years 100 0% 4%   C 3 years 100 4% 5%   Find the number of units of Bond A that must be purchased to match the liabilities exactly.   (A) 0.894   (B) 0.897   (C) 0.913   (D) 0.933   (E) 0.959

What is the yield to maturity of a corporate semiannual coupon payments bond with 13 years to maturity, a coupon rate = 8% and market price = $1,250? A) 6.0% B) 5.3%               C) 4.7%                         D) 4.2%

Km for the following Individual or component costs of capital) Your firm is considering a new investment proposal and would like to calculate its weighted average cost of capital. To help in this compute the cost of capital for the a. A bond that has a $1,000 par value (face value) and a contract or coupon interest rate of 11.4 percent mat is paud semiannually. The bond is currently selling for a price of $1,121 and will mature in 10 years The firm's tax rate is 34 percent b. If the firm's bonds are not frequently traded, how would you go about determining a cost of debt for this company? A new common stock issue that paid a $174 dividend last year. The par value of the stock is $15, and the firm's dividends per share have grown at a rate of 81 percent per year. This growth rate is expected to continue into the foreseeable tuture The pnce of this stock is now $27 12 d. A preferred stock paying a 10.7 percent dividend on a $126 par value The preferred shares are currently selling for…