Assume that we can estimate a project's cash flows as follows: Expected low ECA) Estimate of Slundard Deviation o --$300 $20 1 $120 $10 2 $150 $15 $150 $20 4 $110 $25 5 $100 $30 In this case, each annual flow can be represented by a random variable with known mean and variance. Further assume complete independence among the cash flows. (a) Find the expected NPW and the variance of this project at i = 10%. (b) If all cash flows are normally distributed with the given means and variances, what is the probability that the NPW will exceed $200?

Assume that we can estimate a project's cash flows as follows: Expected low ECA) Estimate of Slundard Deviation o --$300 $20 1 $120 $10 2 $150 $15 $150 $20 4 $110 $25 5 $100 $30 In this case, each annual flow can be represented by a random variable with known mean and variance. Further assume complete independence among the cash flows. (a) Find the expected NPW and the variance of this project at i = 10%. (b) If all cash flows are normally distributed with the given means and variances, what is the probability that the NPW will exceed $200?

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 2P

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Assume that a project is expected to produce the following cash flows in each year, each periodic cash flow is independent of every other, and the risk-free rate is 6%: Period Expected Cash Flow Estimated Standard Deviation 0 -$2,000 $100 1 $1,000 $200 2 $2,000 $500Find the expected NPW as well as the variance of the NPW.
A project has an expected net present value of $50,000 with a standard deviation of the net present value of $20,000. Assume that NPV is normally distributed. What is the probability that the project will have a negative NPV?
Which of the following statements is CORRECT? Assume that the project being considered has normal cash flows, with one outflow followed by a series of inflows . a. A project’s NPV is generally found by compounding the cash inflows at the WACC to find the terminal value (TV), then discounting the TV at the IRR to find its PV . b. The higher the WACC used to calculate the NPV, the lower the calculated NPV will be c. If a project’s NPV is greater than zero, then its IRR must be less than the WACC . d. If a project’s NPV is greater than zero, then its IRR must be less than zero. e. The NPVs of relatively risky projects should be found using relatively low WACCs
Which of the following statements is CORRECT? Assume that the project being considered has normal cash flows, with one outflow followed by a series of inflows. a. A project's NPV is generally found by compounding the cash inflows at the WACC to find the terminal value (TV), then discounting the TV at the IRR to find its PV. b. The higher the WACC used to calculate the NPV, the lower the calculated NPV will be. c. If a project's NPV is greater than zero, then its IRR must be less than the WACC. d. If a project's NPV is greater than zero, then its IRR must be less than zero. e. The NPVs of relatively risky projects should be found using relatively low WACCs. Provide explanation for choice
Which of the following statements is CORRECT? Assume that the project being considered has normal cash flows, with one outflow followed by a series of inflows. Select one: a. The lower the WACC used to calculate it, the lower the calculated NPV will be. b. If a project's NPV is greater than zero, then its IRR must be less than zero. c. The NPV of a relatively low-risk project should be found using a relatively high WACC. d. A project's NPV is found by compounding the cash inflows at the IRR to find the terminal value (TV), then discounting the TV at the WACC. e. If a project's NPV is less than zero, then its IRR must be less than the WACC.
For the given cash flows, suppose the firm uses the NPV decision rule. Year Cash Flow 0 –$ 148,000 1 64,000 2 75,000 3 59,000 a. At a required return of 12 percent, what is the NPV of the project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. At a required return of 21 percent, what is the NPV of the project? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Huang Industries is considering a proposed project whose estimatedNPV is $12 million. This estimate assumes that economic conditions will be “average.”However, the CFO realizes that conditions could be better or worse, so she performed ascenario analysis and obtained these results: Calculate the project’s expected NPV, standard deviation, and coefficient of variation.
Two mutually exclusive investment projects are under consideration. It is assumed that the cash flows are statistically independent random variables with means and variances estimated as follows: (a) For each project, determine the mean and standard deviation for the PWusing an interest rate of 15%.(b) From the results of part (a), which project would you recommend?
Suppose the average return on Asset A is 6.6 percent and the standard deviation is 8.6 percent and the average return and standard deviation on Asset B are 3.8 percent and 3.2 percent, respectively. Further assume that the returns are normally distributed. Use the NORMDIST function in Excel® to answer the following questions. a. What is the probability that in any given year, the return on Asset A will be greater than 11 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the probability that in any given year, the return on Asset B will be greater than 11 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c-1. In a particular year, the return on Asset A was −4.25 percent. How likely is it that such a low return will recur at some point in the future? (Do…
Huang Industries is considering a proposed project whose estimated NPV is $12 million. This estimate assumes that economic conditions will be "average." However, the CFO realizes that conditions could be better or worse, so she performed a scenario analysis and obtained these results: Economic Scenario Probability of Outcome NPV Recession 0.05 ($72 million) Below average 0.20 (12 million) Average 0.50 12 million Above average 0.20 18 million Boom 0.05 38 million Calculate the project's expected NPV, standard deviation, and coefficient of variation. Enter your answers for the project's expected NPV and standard deviation in millions. For example, an answer of $13,000,000 should be entered as 13. Do not round intermediate calculations. Round your answers to two decimal places. is there a way to do the standard deviation in excel? i am having trouble with the formula
Project A has the following estimated cash flows and present values:Year Cash flow $ Discount factor@ 12% Present value $0 Cost (95 000) 1.0 (95 000) 1–5 Contributionper annum 50 000 3.605 180 250 1–5 Fixed costsper annum (25 000) 3.605 (90 125) 5 Residual value 20 000 0.567 11 340 The benefit of using sensitivity analysis in an investment appraisal would be:
Which of the following statements is incorrect regarding project appraisal techniques? At IRR, the NPV of a project is equal to 0 If the IRR of a project is 8%, its NPV calculated using a discount rate greater than 8%, will be less than 0 If the NPV of a project is greater than 0, then its PI will exceed 1. If the PI of a project equals 0, then the project's initial cash outflow equals the PV of its cash inflows