You are considering investing in a new venture. Based on the business plan of the entrepreneur,...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
You are considering investing in a new venture. Based on the business plan of the entrepreneur, if the project is successful, it is expected to generate the following cash flows for investors: Year 1 2 3 4 Cash Flow SO $ 200,000 $ 2,000,000 $ 8.000.000 The cash flow in the fourth year includes cash flows that would be realized from selling the venture to a third party at that time. After conducting your own due diligence, you find that you agree with the entrepreneur that, if the venture is successful, the cash flow estimates are reasonable. The entrepreneur is looking for seed capital of $1 million to undertake the venture. After the initial investment, if it is successful, the venture will be self-supporting. Using 50% and 100% as hurdle rates for seed and start-up investments, estimate the present value of the venture and the minimum fraction of the equity you would need to justify your investment. Also, determine the hurdle rate that would result in a zero NPV for a 100% interest in the venture. 2. [25 points] Consider question 1 again. Through your due diligence efforts, you have concluded that the probability that the venture will be successful through year 2 is about 80%, through year 3 is about 60%, and through year 4 is about 40%. If the venture fails, it will not return any cash to investors. Compute the expected cash flows of the venture and find the discount rates of the expected cash flows that would yield the same ownership fractions as the 50% hurdle rate in question 1. In other words, given the ownership fraction you would require if a hurdle rate of 50% is used in question 1, what discount rate of expected cash flows would yield a present value of the venture that would imply the same ownership fraction for your investment of $1 million? 3. [25 points] Compare the present-value estimates of each of the annual cash flows between questions 1 and 2. What might you have with valuing projects using optimistic cash flow forecasts and hurdle rates, as in question 1 instead of using expected cash flow estimates and required rates of return as in question 2? 4. Suppose you can establish that for the each annual cash flow of the venture described in question 1, the correlation between project cash flows and the market is 30%. You also have determined that the riskless rate of interest is 4.5%, the market risk premium is 6.5%, and the standard deviation of market returns is 20% for one year, 28% for two years, 35% for three years, and 40% for four years. a. [20 points] Use the CEQ form of the CAPM to find the certainty equivalent of each annual expected cash flow, the present value of each annual cash flow, and the present value of the project. b. [5 points] How large of an ownership fraction do you need if the CAPM is the correct valuation model? You are considering investing in a new venture. Based on the business plan of the entrepreneur, if the project is successful, it is expected to generate the following cash flows for investors: Year 1 2 3 4 Cash Flow SO $ 200,000 $ 2,000,000 $ 8.000.000 The cash flow in the fourth year includes cash flows that would be realized from selling the venture to a third party at that time. After conducting your own due diligence, you find that you agree with the entrepreneur that, if the venture is successful, the cash flow estimates are reasonable. The entrepreneur is looking for seed capital of $1 million to undertake the venture. After the initial investment, if it is successful, the venture will be self-supporting. Using 50% and 100% as hurdle rates for seed and start-up investments, estimate the present value of the venture and the minimum fraction of the equity you would need to justify your investment. Also, determine the hurdle rate that would result in a zero NPV for a 100% interest in the venture. 2. [25 points] Consider question 1 again. Through your due diligence efforts, you have concluded that the probability that the venture will be successful through year 2 is about 80%, through year 3 is about 60%, and through year 4 is about 40%. If the venture fails, it will not return any cash to investors. Compute the expected cash flows of the venture and find the discount rates of the expected cash flows that would yield the same ownership fractions as the 50% hurdle rate in question 1. In other words, given the ownership fraction you would require if a hurdle rate of 50% is used in question 1, what discount rate of expected cash flows would yield a present value of the venture that would imply the same ownership fraction for your investment of $1 million? 3. [25 points] Compare the present-value estimates of each of the annual cash flows between questions 1 and 2. What might you have with valuing projects using optimistic cash flow forecasts and hurdle rates, as in question 1 instead of using expected cash flow estimates and required rates of return as in question 2? 4. Suppose you can establish that for the each annual cash flow of the venture described in question 1, the correlation between project cash flows and the market is 30%. You also have determined that the riskless rate of interest is 4.5%, the market risk premium is 6.5%, and the standard deviation of market returns is 20% for one year, 28% for two years, 35% for three years, and 40% for four years. a. [20 points] Use the CEQ form of the CAPM to find the certainty equivalent of each annual expected cash flow, the present value of each annual cash flow, and the present value of the project. b. [5 points] How large of an ownership fraction do you need if the CAPM is the correct valuation model?
Expert Answer:
Answer rating: 100% (QA)
can use the following formula PV P1 CF1 1 r1 P2 CF2 1 r2 Pn CFn 1 rn where PV is the present value CF is the cash flow for a given year P is the proba... View the full answer
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Posted Date:
Students also viewed these finance questions
-
Your company is seriously considering investing in a new project opportunity, but cash flow is tight. Top management is concerned about how long it will take for this new project to pay back the...
-
You are considering investing in ICI. Suppose ICI currently paid $3 dividend and enjoying super growth and expected to pay 30% more in dividends each year for 3 years. After these three years the...
-
You are considering investing in a Third World bank account that pays a nominal annual rate of 18%, compounded monthly. If you invest $5,000 at the beginning of each month, how many months will it...
-
Multiple Choice Questions 1. Direct materials are not usually easily traced to a product. A) True B) False 2. Product costs can be classified as one of three types: direct materials, direct labor, or...
-
Use the following scenario to answer the next 3 questions. It is known that 30% of all customers of a major credit card pay their bills in full before any interest charges are incurred. Suppose a...
-
a. Calculate the total wages earned for each hourly employee assuming an overtime rate of 1.5 over 40 hours. b. Calculate the total biweekly earnings of these newly hired salaried employees. Employee...
-
Cast Iron is a: (a) Ductile material (b) Malleable material (c) Brittle material (d) None of these
-
Firemans Fund commissioned an online survey of 1,154 wealthy homeowners to find out what they knew about their insurance coverage. (a) When asked whether they knew the replacement value of their...
-
Part 1 of 3 Required information [The following information applies to the questions displayed below] Simon Company's year-end balance sheets follow 2 points ellook Pr References At December 31...
-
1. If topaz is harder than quartz, then it will scratch quartz and also feldspar. Topaz is harder than quartz and it is also harder than calcite. Therefore, either topaz will scratch quartz or it...
-
Cash Flow Activity Duration (weeks) ABCD 2 3 8 2 Target Schedule Start = 0 3 2 10 Finish 2 6 10 12 Project/Job/Site overhead = $400/week Pay period 4 weeks Budget Cost ($) 5,000 6,000 16,000 2,000...
-
Hitesh has been trading for many years, preparing accounts to 31 January each year. His last full year of trading is the year to 31 January 2021. Identify the basis periods for the last three tax...
-
On 21 March 2022, Penny is made redundant by her employer. She receives statutory redundancy pay of 4,750 and an ex gratia compensation payment of 32,000 (none of which ranks as a PILON). Her only...
-
Under the current year basis, for which tax years would the following accounting years form the basis period? (a) year to 31 October 2021 (b) year to 31 March 2022 (c) year to 30 April 2023 (d) year...
-
Throughout 2021-22, Niall is provided by his employer with a diesel-engined motor car which had a list price when new of 24,200. The car was registered in January 2021 and has an emission rating of...
-
Which of the following forms of income from employment would be exempt from income tax in tax year 2021-22? (a) Free meals in the company canteen. (b) Removal expenses of 4,500. (c) 1,000 given to an...
-
If NUBD Co. requires a minimum return on its investments of 15%, what is their residual income? * NUBD Co. has the following information available for one of its divisions: Average operating assets |...
-
Explain how the graph of each function can be obtained from the graph of y = 1/x or y = 1/x 2 . Then graph f and give the (a) Domain (b) Range. Determine the largest open intervals of the domain over...
-
Use the method of your choice to determine the area of the surface generated when the following curves are revolved about the indicated axis. y = 1 + 1 - x 2 between the points (1, 1) and about the...
-
Explain why the slope of the line tangent to the polar graph of r = f() is not dr/d.
-
The velocity of a (fast) automobile on a straight highway is given by the function where t is measured in seconds and v has units of m/s. a. Graph the velocity function, for 0 t 70. When is the...
-
Schuster Services reported assets of $800 and equity of $480. What is Schuster Services debt ratio? a. 60% b. 40% c. 67% d. Not enough information is provided.
-
Daniel Bronstein practices medicine under the business title Daniel Bronstein, M.D. During July, the medical practice completed the following transactions: The business uses the following accounts:...
-
In December, the first five transactions of Gillespie Consulting have been posted to the T-accounts. Prepare the journal entries that served as the sources for the five transactions. Include an...
Study smarter with the SolutionInn App