28 A company has four mutually exclusive investment opportunities, each one yielding different profits depending on the state of the market. There are three possible market states which could arise. The probability of each of these states, together with the incremental profits from each project, are shown in the following pay-off table. Market State Good Average Bad Probability 0.2 0.5 0.3 Investment Opportunity $000 $ 000 $000 North 100 80 60 South 120 90 60 East 80 60 40 60 40 20 West If the company wishes to maximise expected profits, which one of these projects should be undertaken? [ ] North B 1 South C [ ] East West
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- Start with the partial model in the file Ch10 P23 Build a Model.xlsx on the textbooks Web site. Gardial Fisheries is considering two mutually exclusive investments. The projects expected net cash flows are as follows: a. If each projects cost of capital is 12%, which project should be selected? If the cost of capital is 18%, what project is the proper choice? b. Construct NPV profiles for Projects A and B. c. What is each projects IRR? d. What is the crossover rate, and what is its significance? e. What is each projects MIRR at a cost of capital of 12%? At r = 18%? (Hint: Consider Period 7 as the end of Project Bs life.) f. What is the regular payback period for these two projects? g. At a cost of capital of 12%, what is the discounted payback period for these two projects? h. What is the profitability index for each project if the cost of capital is 12%?8. NPV profiles An NPV profile plots a project's NPV at various costs of capital. An example NPV profile is shown below: Identify the range of costs of capital that a firm would use to accept and reject this project, and answer the questions that follow. NPV (Dollars) 600 500 400 300 200 100 0 ← -100 -200 -300 A 2 4 6 8 10 12 14 16 DISCOUNT (REQUIRED) RATE (Percent) The project represented by triangle A should be B 18 20 This NPV profile demonstrates that as the cost of capital increases, the project's NPV ?1. 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
- 17: Consider the following 2 mutually exclusive projects: Year Cash flow A Cash Flow B 0 -291000 -41600 1 37000 20000 2 55000 17600 3 55000 17200 4 366000 14000 Whichever project you choose, if any, you require a return of 11% on your investment. If you apply the payback criterion, which investment will you choose? Why? If you apply the discounted payback criterion, which investment will you choose? Why? If you apply the NPV criterion, which investment will you choose? Why? If you apply the IRR criterion, which investment will you choose? Why? If you apply the profitability index criterion, which investment will you choose? Why? Based on your answers in parts A through E, which project will you finally choose? Why?A firm is considering the following independent projects. Project Investment Present value offuture cash flows NPV A $130 $176 $46 B $103 $115 $12 C $183 $287 $104 D $161 $199 $38 E $184 $273 $89 What is the Profitability Index of Project B? Question 5Answer a. 0.85 b. 1.12 c. 0.89 d. 1.18Consider the following projects: Cash Flows ($) Co Project D E -11, 100 -21, 100 C₁ 22, 200 34,500 Assume that the projects are mutually exclusive and that the opportunity cost of capital is 11%. a. Calculate the profitability index for each project. b-1. Calculate the profitability-index using the incremental cash flows. b-2. Which project should you choose?
- Consider projects A and B with the following cash flows: C0 C1 C2 C3 A − $ 27 + $ 16 + $ 16 + $ 16 B − 52 + 27 + 27 + 27 a-1. What is the NPV of each project if the discount rate is 10%? (Do not round intermediate calculations. Round your answers to 2 decimal places.) a-2. Which project has the higher NPV? b-1. What is the profitability index of each project? (Do not round intermediate calculations. Round your answers to 2 decimal places.) b-2. Which project has the higher profitability index? c. Which project is most attractive to a firm that can raise an unlimited amount of funds to pay for its investment projects? d. Which project is most attractive to a firm that is limited in the funds it can raise?The Net Present Value (NPV) and Probability distribution for the Project X of a company are: NPV Estimate Probability 30,000 0.1 60,000 0.4 1,20,000 0.4 1,50,000 0.1 O a. 75,000 O b. 1,00,000 O c. 90,000 O d. 35,000Refer to the table below to answer the following question. Project Initial Investment NPV IP 200 22 Q 180 26 IR 185 38 IS 380 10 The project with highest Profitability Index is Project P Project Q Project R Project S
- Project C0 C1 C2 C3 C4 A -5000 +1000 +1000 +3000 0 B -1000 0 +1000 +2000 +3000 C -5000 +1000 +1000 +3000 +5000 What are the internal rates of return (IRR) on the three projects? Does the IRR rule in this case give the same decision as NPV? How do you know? If the opportunity cost of capital is 11%, what is the profitability index for each project? Please analyze if, in general, decisions based on profitability index are consistent with decisions based on NPV. What is the most generally accepted measure to choose between the projects? Please justify your answer..5ו Comparing Investment Criteria. onsiuer uie 1onOwing two inutuany exclusive projects: Cash Flow (B) 1TT Year Cash Flow (A) S415,000 -$3,500 49,000 1,920 57.000 1,390 74,000 1,420 530,000 1,050 4 Whichever project you choose, if any, you require a 13 percent return on your investment. a. If you apply the payback criterion, which investment will you choose? Why? b. If you apply the NPV criterion, which investment will you choose? Why? 8If you apply the IRR criterion, which investment will you choose? Why2 d. If you apply the profitability index criterion, which investment will you choose? Why? e. Based on your answers in (a) through (d), which project will you finally choose? Why?Q.1. Three mutually exclusive investment alternatives are under consideration. The initial capital outlays and the pattern of the net annual cash benefits (revenues - expenses) for each alternatives are presented in the following table. Based on NPV analysis, if the company’s minimum acceptable rate of return is 10%, which alternative should be the best economic choice? Use appropriate IRR analysis to double-check your selection. Investment, M$ A B C Initial cost -$200 -$350 -$500 Net Revenues, year 1 to 3 $80 $105 $85 Net Revenues, year 4 $60 $90 $150 Net Revenues, year 5 $40 $80 $250