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 - B, Wealth-B2Credit Score + B3 Number of Bankruptcics Bo = 10, 109.5 %3D B =0.10 %3D Ba = 0.20 %3D B = 0.60 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%

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 - B, Wealth-B2Credit Score + B3 Number of Bankruptcics Bo = 10, 109.5 %3D B =0.10 %3D Ba = 0.20 %3D B = 0.60 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%

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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Suppose the estimated linear probability model used by an FI to predict business loan applicant default probabilities is PD = .03X1+ .02X2 - .05X3+ error, where X1 is the borrower's debt/equity ratio, X2is the volatility of borrower earnings, and X3= 0.10 is the borrower’s profit ratio. For a particular loan applicant, X1= 0.75, X2= 0.25, and X3= 0.10. Required: What is the projected probability of default for the borrower? What is the projected probability of repayment if the debt/equity ratio is 2.5?
Suppose that an FI holds two loans with the following characteristics. Annual Spread Between Loss to FI Expected Loan Rate and FI=s Annual Given Default Loan Xi Cost of Funds Fees Default Frequency 1 .6 4.5% 2.5% 30% 3% ρ12 = -.4 2 .4 3.5% 2% 20% 5% Calculate of the return and risk on the two-asset portfolio using KMV Portfolio Manager.
The return on loan 1 is R1 = 6.25%, the risk on loan 2 is \sigma 2 = 1.8233 %, and the return of the portfolio is Rp = 4.555 % . Calculate of the loss given default on loans 1 and 2, the proportions of loans 1 and 2 in the portfolio, and the risk of the portfolio, \sigma p, using Moody's Analytics Portfolio Manager.Suppose that an Fl holds two loans with the following characteristics.
The payoff table below indicates the returns (in RM thousands) of investments in stock, bond and fixed deposit under different economic situations. Type of Investment Stock Bond Fixed Deposit Table 1 Economic Situation Good 150 50 45 Stable 60 40 45 Poor -30 36 45 The probabilities of good, stable and poor economy are 0.3, 0.5 and 0.2, respectively. What is the best investment based on the expected monetary value criterion? Draw a decision tree.
a. Compute the expected rate of return on investment i given the following information: the market risk premium is 5%; Rf = 6%; βi = 1.2. b. Compute E(RM).
Capital asset pricing model (CAPM) For the asset shown in the following table, use the capital asset pricing model to find the required return. (Click on the icon here O in order to copy the contents of the data table below into a spreadsheet.) ne Risk-free Market rate, R return, rm Beta, b nts 4% 0.7 1% The required return for the asset is %. (Round to two decimal places.) eТext edia Librai ial Calculat er Resource Enter your answer in the answer box and then click Check Answer. Check Answer mic Study ules Clear All All parts showing 10: DExercise(14); ools > This course (Introduction to Finance (FIN-101-D02) Distance Spring 2021) is hased on Zutter/Smart Princinles of Managerial Finance Rrief Re 4/13 O Type here to search insert
Course: FinanceAs a great investor, you are interested in 3 assets to invest: A, B and C. A financial advisor tells you that the returns on the assets are independent of each other, and you are given the following data: Asset A B C E(Ri) 0.05 0.035 0.06 Variance 0.0015 0 0.008 You have not yet analyzed what your degree of risk aversion (A) is, but you know that your utility function behaves as follows: U[ E(Rp)] = E(Rp) - 0.5 * A * Variance. (See attached image for a better understanding) You are asked to:(a) Find the optimal portfolio with these 3 assets {called wA, wB and wC}.b) Calculate the expected return and risk of the optimal portfolio for the following degrees of risk aversion (A):(i) A = 5(ii) A = 10(iii) A = 16 Please ASAP
The expected market return is 5%. The risk-free rate is 3%. According to the CAPM equation, what is the expected return on an asset which has alpha=1.5%, and beta=1.9 ? O a. 11.0% O b. 5.3% O c. 5% O d. 6.8% O e. 8.3%
Assume a risk-free rate of 10%, borrowing rate of 15%, risky asset return of 10%, and standard deviation of 20% for the risky asset returns. Sketch a graph of the CAL. Label axes. At what level of risk aversion (A), would an investor choose to borrow.
Compute the expected rate of return on investment i given the followinginformation: Rf = 8%; E(RM) = 14%; βi = 1.0.b. Recalculate the required rate of return assuming βi is 1.8.25. a. Compute the expected rate of return on investment i given the followinginformation: the market risk premium is 5%; Rf = 6%; βi = 1.2.b. Compute E(RM)
4. Explain what the Capital Asset Pricing Model (CAPM) is and calculate and explain the result of the CAPM based on the following data. a. Expected Return: 8% b. Risk-free rate: 4% c. Beta of the investment: 1.2 ER=Rf+B(ERm - Rf) where: ER = expected return of investment Rf risk-free rate B;= beta of the investment - (ERm - Rf) = market risk premium
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.

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