19.18 The value of a company's equity is $2 million and the volatility of its equity is 50%. The debt that will have to be repaid in one year is $5 million. The risk-free interest rate is 4% per annum. Use Merton's model to estimate the probability of default. (Hint: The Solver function in Excel can be used for this question
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- 4. Suppose a firm with a value of $60 million has a bond outstanding with a face value of $50 million that matures in 2 years. the current interest rate is 6% and the volatility of the firm is 25% what is the probability that the firm will default on its debt if the expected return on the firm, µ, is 30% ?what is the expected loss given default?Suppose that =7% (na1), and that future short term (1 year) interest rates are expected to be 5% and 3% (for the subsequent two years). The liquidity premium for n2 and 3 is 0.25% and 0.35% respectively. a. Use the liquidity premium theory to calculate for ne2 and 3, and then plot the yield curve using your results. CALCULATE showing all work and ALL formulas that you use, b. Discuss what would be the impact on the yield curve in part a. if future short term rates were suddenly expected to rise.13. Suppose that an FI holds two loans with the following characteristics. Annual Spread between Loan Rate and FI's Cost of Funds Loan X₁ 0.45 0.55 1 2 5.5% 3.5 Annual Fees 2.25% 1.75 Loss to Fl Expected Given Default Default Frequency 30% 20 3.5% 1.0 P12 = -0.15 Calculate the return and risk on the two-asset portfolio using Moody's Analytics Portfolio Manager.
- You have the following initial information on which to base your calculations and discussion: Debt yield = 2.5% Required Rate of Return on Equity = 13% Expected return on S&P500 = 8% Risk-free rate (rF) = 1.5% Inflation = 2.5% Corporate tax rate (TC) = 30% Current long-term and target debt-equity ratio (D:E) = 1:3 a. What is the unlevered cost of equity (rE*) for this firm? Assume that the management of the firm is considering a leveraged buyout of the above company. They believe that they can gear the company to a higher level due to their ability to extract efficiencies from the firm’s operations. Thus, they wish to use a target debt-equity ratio of 3:1 in their valuation calculations. b. What would the levered cost of equity equal for this firm at a debt-equity ratio (D:E) of 3:1? c. What would the required rate of return for the company equal if it were to be acquired under the leveraged buyout structure (i.e., what would the estimated firm WACC equal to under a…You have the following initial information on which to base your calculations and discussion: Debt yield = 2.5% Required Rate of Return on Equity = 13% Expected return on S&P500 = 8% Risk-free rate (rF) = 1.5% Inflation = 2.5% Corporate tax rate (TC) = 30% Current long-term and target debt-equity ratio (D:E) = 1:3 a. What is the unlevered cost of equity (rE*) for this firm? Assume that the management of the firm is considering a leveraged buyout of the above company. They believe that they can gear the company to a higher level due to their ability to extract efficiencies from the firm’s operations. Thus, they wish to use a target debt-equity ratio of 3:1 in their valuation calculations.9(b) You may assume the Merton model for credit risk holds true for this question. A companyhas fixed debt of £45 million with term two years, the current value of the company’sassets is £52 million. The risk-free rate of return is 4.5% per annum continuouslycompounded, the assets of the company follow geometric Brownian motion with volatility25% per annum and there are no other dividends or interest payments. Calculate the riskneutral probability of default.
- Consider a two-date binomial model. A company has both debt and equity in its capital structure. The value of the company is 100 at Date 0. At Date 1, it is equally like that the value of the company increases by 20% or decreases by 10%. The total promised amount to the debtholders is 100 at Date 1. The riskfree interest rate is 10%. a. What is the value of the debt at Date 0? What is the value of the equity at Date 0? b. Suppose the government announces that it guarantees the company’s payment to the debtholders. How much is the government guarantee worth?Assume assets of your company amount to 5256€ and show volatility at the level of 26.93%. The face value of debt is 2378€ and has a maturity of 4 years. If the assets rate of return is 18.21%, what distance to default do the assets of your company show? Please insert the value as a real number with the decimals of 2 digits.You Answered orrect Answer A company is promising a coupon payment of $46 in 2.03 years. A risk free government bond of the same maturity is yielding 1.66% per year. The credit spread for the promised payment by the company is 1.24% per year. Both the yield and the spread are stated on a continuously compounded basis. What is the present value of the expected loss on the promised payment? 1.11 margin of error +/-50
- 3b. You read in the Wall Street Journal that 30-day treasury bills are currently yielding 8%. You are informed by a broker the following estimates of current interest rate premium: . Inflation premium = 5% • Liquidity premium = 1% Maturity risk premium = 2% Default risk premium = 2% Disregard cross product terms, i.e., if averaging is required, use the arithmetic average. On the basis of these data, what is the real risk-free rate of return.The real risk-free rate, r*, is 1.7%. Inflation is expected toaverage 1.5% a year for the next 4 years, after which time inflation is expected to average4.8% a year. Assume that there is no maturity risk premium. An 11-year corporatebond has a yield of 8.7%, which includes a liquidity premium of 0.3%. What is itsdefault risk premium?Suppose that yield rates on zero coupon bonds are currently 26 for a one-year maturity, 3% for a two-year maturity and 4.% for a three-year maturity (all effective annual rates). Suppose that someone is willing to borrow money from you starting one year from now to be repaid three years from now at an effective annual interest rate of 6.5146438635186%. Construct a transaction in which an arbitrage gain can be obtained. What is your positive net gain for net investment of 0? (net cashflow at t-3) 01345 One possible correct answer is: 0.030250290387703