You are considering investing in a project with the following possible outcomes: Probability of Investment States Occurrence Returns State 1: Economic boom 18% 20% State 2: Economic growth 42% 16% State 3: Economic decline 30% 3% State 4: Depression 10% -25% Calculate the expected rate of return and standard deviation of returns for this investment, respectively. O 7.35%, 12.99% O2.18%, 1.69% O 8.72%, 12.99% O3.50%, 1.69%
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- You are considering the following two mutually exclusive investments: Project Year 0 Year 1 Year 2 A -$80 0 $120 B -$40 $28 $28 Which project has the higher NPV if the required rate of return is 5%?You are considering Project A, with the following information (Assume all statistics given are correct): Economy Probability of Rates of Return ____ Condition State Occurring Project A Market T-Bill Bad 0.2 3.0% 0.0% 4.82% Average 0.4 10.0% 8.0% 4.82% Good 0.4 15.0% 12.0% 4.82% Expected return 10.6% 8.0% 4.82% Standard deviation 5.72% 4.38% 0% Correlation Coefficient between…Yiu are asked to evaluate a capital project (in million 0 1. 2 3 4 Cash flows 75 12 15 39 30 required return 10.0% what is the npv what is the IRR what is the modified internal rate of return what is the payback period would you recommend this project
- Consider the investment project with net cash flows shown. There are 2 rates of return for the project. One is 43.47%. What is the other? Enter as a percentage without the percent sign. For instance, if your answer is 10.23%, enter as 10.23. n Net Cash Flow 0 -$8000 1 $10000 2 $30000 3 -$400006.Calculate the project's Modified Internal Rate of Return (MIRR). What critical assumption does the MIRR make that differentiates it from the IRR? TIP : look for the definition of Modified Internal Rate of Return, and then do it in excel, easy !!! Year Net Cash flow Future Value of Net Cash flow 0 -$20.8 example 1 $4.5 $7.97 (n=6, i=10%)=fv(.1,6,,4.5) 2 $6.3 (n=5, i=10%) 3 $5.2 (n=4, i=10%) 4 $3.9 (n=3, i=10%) 5 $2.1 (n=2, i=10%) 6 $1.3 (n=1, i=10%) 7 $0.5 (n=0, i=10%) Sum = $XX.XX MIRR = ( in excel ) Rate ( 7,-20.8, xx.xx) 7.Where does the value of MIRR fall relative to the discount rate and IRR?Five alternatives are being evaluated by the incremental rate of return method. Incremental Rate of Return, % Initial Alternative Investment, $ versus DN, % A Overall ROR B CDE A 9.6 27.3 9.4 35.3 25.0 -25,000 -35,000 -40,000 -60,000 38.5 24.4 46.5 27.3 B. 15.1 - C 13.4 - D 25.4 6.8 - 75,000 20.2 (SO2PI1) If the projects above are mutually exclusive and the MARR is 20% per year, the best alternative is Select one: O a B ObC OcD OdE
- Find the internal rate of return for the following investment (yes I want the actual rate). Is it a good idea if MARR=10%? Year 2$ -160,400 75,000 -32,000 55,000 32,500 69,500 1 3 4The first question // one of the investors wants to establish a project that achieves net returns related to economic activity, as in the following table that shows the returns achieved in the market, noting that the risk-free rate of return is %8 The market is back The project is back Probability Economical Status %40 %20 %25 0.25 Stable %15 0.50 recovery %13 % 10- 0.25 Recession What is required // calculate the required rate of return with an opinion on acceptance or rejection of the project?. Suppose that New Investors Inc. has the following investment alternatives: Alternatives Probability Yield 1 55% 30% 2 30% 12% 3 15% 10% Determine the expected return
- What is the net present value of an investment that requires a 10 percent minimum rate of return and has the following projected cash flows: Yr0 = -100, Yr1 = 25, Yr2 = 35, Yr3 = 45, Yr4 = 35, and Yr5 = 30? a. 41 b. 28 c. 34 d. 35. There are three possible states of economy-Boom, Growth or Recession and the returns on Ihser and Resque depend on which state will occur.T he details for these projects are as follows: State of the economy Probability of the state of the economy occurring Ihser(%) Resque(%) Boom 0.25 40 10 Growth 0.55 30 15 Recession 0.20 -10 20 (a) Calculate the expected return and standard deviation for each project (b) What are the covariance and correlation coefficient between returns of Ihser and Resque1. The president of the Martin Company is considering two alternative invest- ments, X and Y. If each investment is carried out, there are four possible outcomes. The present value of net profit and probability of each outcome follow: Investment X Investment Y Net Present Net Present Outcome Value Probability Outcome Value $12 million Probability 0.1 $20 million 0.2 A 8 million 10 million 2 0.3 B 9 million 0.3 3 0.4 6 million 0.1 3 million 0.1 D 11 million 0.5 a. What are the expected present value, standard deviation, and coefficient of variation of investment X? b. What are the expected present value, standard deviation, and coefficient of variation of investment Y? c. Which investment is riskier? d. The president of the Martin Company has the utility function