Suppose the management of a firm is trying to allocate liquid assets to two accounts, one of which is riskless but pays no interest, while the other offers a risky return. Assume the rate of return r on the second account is uniformly distributed over the range [-0.5, 0.5]. Let R denote the amount currently available for allocation to the two accounts, and S denote the amount invested in the risky asset. Suppose management would like to make the next period investment value as large as possible but subject to the condition that R + Sr not fall below 95% of the original value of R too often so that if the investment falls below 95% of its original value, it should not do so more than 25% of the time. Calculate the ratio of investment and the amount available, that is, α = SR Ꭱ

Suppose the management of a firm is trying to allocate liquid assets to two accounts, one of which is riskless but pays no interest, while the other offers a risky return. Assume the rate of return r on the second account is uniformly distributed over the range [-0.5, 0.5]. Let R denote the amount currently available for allocation to the two accounts, and S denote the amount invested in the risky asset. Suppose management would like to make the next period investment value as large as possible but subject to the condition that R + Sr not fall below 95% of the original value of R too often so that if the investment falls below 95% of its original value, it should not do so more than 25% of the time. Calculate the ratio of investment and the amount available, that is, α = SR Ꭱ

Principles of Accounting Volume 2

19th Edition

ISBN:9781947172609

Author:OpenStax

Publisher:OpenStax

Chapter11: Capital Budgeting Decisions

Section: Chapter Questions

Problem 16MC: When using the NPV method for a particular investment decision, if the present value of all cash...

See similar textbooks

Similar questions

process shows how the present value of any sum to be received in the future decreases and approaches o as the years to receipt increases, and the present value declines faster at higher v interest rates. The fundamental goal of financial management is to maximize the firm's value, and the value of any asset is the present v value of its expected future cash flows. One can solve for either the interest rate or the number of periods using the FV and the PV equations. The easiest way to solve for these variables is with a financial calculator or a spreadsheet. Quantitative Problem 1: You deposit $1,800 into an account that pays 7% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent. $4 Quantitative Problem 2: Today, you invest a lump sum amount in an equity fund that provides an 12% annual…
Which of the following are assumptions of the Capital Asset Pricing Model (CAPM)? Check all that apply. Consider the equation for the Capital Asset Pricing Model (CAPM): All assets are perfectly divisible and liquid. Investors assume that their investment activities won't affect the price of a stack. 7 = TRF + (TM - TRF) X bi -0.50 There are no transaction costs. 0.30 Assets have unique liquidity. In this equation, the term (M - TRF) represents the 1.00 Suppose that the market's average excess return on stocks is 12.00% and that the risk-free rate is 1.00%. Complete the following table expected returns to stocks for each beta coefficient using the Capital Asset Pricing Model (CAPM): 3.00 Cov(ri, TM) 02 M Expected Return to Stocks (%) Based on the CAPM and your calculations for the return to stocks, what does it mean when the coefficient b; > 1? O The stock's return correlates with the stock market as a whole. The stock is more volatile than the market.
In an efficient market when asset expected returns are plotted against asset betas, then all assets would be on the security market line A. Because all assets have the same beta B. Because no assets have the same risk premium C. Because all assets have the same reward to risk ratio D. Because all assets have the same systematic risk E. Because all assets have the same average amount of systematic risk
When using the NPV method for a particular investment decision, if the present value of all cash Inflows Is greater than the present value of all cash outflows, then _______ . A. the discount rate used was too high B. the investment provides an actual rate of return greater than the discount rate C. the investment provides an actual rate of return equal to the discount rate D. the discount rate is too low
When using the NPV method for a particular investsment decision, if the present value of all cash inflows is greater than the present value of all cash outflows, then ________. Group of answer choices A. the discount rate used was too high B. the investment provides an actual rate of return greater than the discount rate C. the investment provides an actual rate of return equal to the discount rate D. the discount rate is too low
Evaluate the following statement: If the financial market is frictionless and complete, the asset with higher expected return also exhibits higher return volatility (i.e., standard deviation of returns).
Which of the following statements is true? Multiple Choice When NPV is 0, the IRR is equal to the discount rate. When NPV is 0, the investment is not making a profit. In calculating IRR, we make the assumption all cash flows are reinvested at the discount rate. NPV is a good measure to use when comparing investments of different sizes.
Consider the following financial market with two risky assets x and y as well as a risk-free asset f: E[r]. x (10%, 8%) •z (6.6%, 6.3%) y (8%, 5%) (0%, 3%) f Is it possible to construct portfolio z with existing assets? Explain.
3. A market consists of two risky assets and no risk-free asset. Let R₁ and R₂ denote the return on each of the risky assets. Using market data the following have been estimated: E[R₁] = 0.10, E[R₂] = 0.15, o² = Var(R₁) = 0.1², o² = Var(R₂) = 0.2² and p1,2 = -1/2 where P1,2 denotes the correlation coefficient for R₁ and R₂. (i) Given that an investor is targeting a total expected return of portfolio, what is the minimum variance that can be achieved? = 0.125 on a (ii) Determine the global minimum variance portfolio and the expected return and variance of return on this portfolio. (iii) Using your answers to parts (i) and (ii) make a rough sketch of the minimum- variance set in - o2 space. You should indicate the efficient frontier and the global minimum variance portfolio. (iv) Without further calculation, explain how you would expect the variance of return calculated in (ii) to change if the two risky assets were independent.
An advantage of the internal rate of return method is that a.it considers the time value of money. b.it can rank proposals of equal lives. c.it considers the cash flows of the investment. d.All of these choices are correct.
Which one of the following is the formula that explains the relationship between the expected returnon a security and the level of that security's systematic risk?Select one:a. Time value of money equationb. Unsystematic risk equationc. Expected risk formulad. Market performance equatione. Capital asset pricing model
Using the data generated in the graph, show what the information looks like in a spreadsheet. a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above, and below the SML? d) If an investment’s expected return (mean return) does not plot on the SML, what does it show? Identify undervalued/overvalued investments from the graph.