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A Method of Evaluating Profitability and Risk of Multiple Investments Applying Internal Rate of Return
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 Title & Authors
A Method of Evaluating Profitability and Risk of Multiple Investments Applying Internal Rate of Return
Mizumachi, Tadahiro;
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 Abstract
In today's uncertain economic environment, economic risk is inherent in making large investments on manufacturing facilities. It is, therefore, practically meaningful to divide investment over multiple periods, reducing the risk of investment. Then, the cash-flow over the entire planning horizon would comprise positive inflow and negative outflow. In this case, in general, evaluation by internal rate of return (IRR) is not feasible, because multiple IRRs are involved. This paper deals with a problem of evaluating profitability, as well as risk, of investment alternatives made in multiple times of investment over the entire horizon. Typically, an additional investment is required after the initial one, for expanding manufacturing capacity or other reasons. The paper pays attention to a unit cash-flow over two periods, decomposing the total cash-flow into a series of unit cash-flow patterns. It is easy to evaluate profitability of a unit cash-flow by using IRR. The total cash-flow can be decomposed into the series of two types of unit cash-flows: an investment type one (negative-positive) and the borrowing type one (positive-negative). This paper, therefore, proposes a method in which only the borrowing type unit cash-flow is eliminated in the series by converting total cash-flow using capital interest rate. Then, a unique IRR can be obtained and the profitability is evaluated. Thus, the paper extends the method of IRR so that it may help decision making in complicated cash-flow pattern observed in practice.
 Keywords
Profitability;Risk;Unit Cash-flow;Internal Rate of Return;Multiple Investment;
 Language
English
 Cited by
1.
Stress test for a technology credit guarantee fund based on survival analysis, Journal of the Operational Research Society, 2015, 66, 3, 463  crossref(new windwow)
 References
1.
Bernhard, R. H. (1980) A simplification and an extension of the Bernhard-deFARO sufficient condition for a unique non-negative internal rate of return, The Journal of Financial and Quantitative Analysis, 15, 201-209. crossref(new window)

2.
Lin, S. A. Y. (1976), The modified internal rate of return and investment criterion, The Engineering Economist, 21, 237-247. crossref(new window)

3.
Lorie, J. H. and Savage, L. J. (1955), Three problems in rationing capital, The Journal of Business, 28, 229- 239. crossref(new window)

4.
Mao, J. C. T. (1966), An analysis of criteria for investment and financing decisions under certainty: a comment, Management Science, 13, 289-291. crossref(new window)

5.
Mizumachi, T. and Nakamura, Z. (2002), The decision procedure for profitability of investment projects using the internal rate of return of single-period projects, Journal of Operations Research Society of Japan, 45, 174-184.

6.
Nakamura, Z. (1975), An analysis of rates of return for decisions on a compound set of investment alternatives (in Japanese), Journal of Japan Industrial Maagement Association, 26, 226-230.

7.
Norstrom, C. J. (1972), A sufficient condition for a unique nonnegative internal rate of return. The Journal of Financial and Quantitative Analysis, 7, 1835-1839. crossref(new window)

8.
Park, C. S. and Sharp-Bette, G. P. (1990), Advanced Engineering Economics, Wiley.

9.
Senju, S., Fushimi, T. and Fujita, S. (1989), Profitability Analysis, Asian Productivity Organization.

10.
Teichroew, D., Robichek, A. A. and Montalbano, M. (1965), Mathematical analysis of rates of return under certainty, Management Science, 11, 395-403. crossref(new window)

11.
Teichroew, D., Robichek, A. A. and Montalbano, M. (1965), An analysis of criteria for investment and financing decisions under certainty, Management Science, 12, 151-179. crossref(new window)

12.
Ward, T. L. (1994), Computer rate of return analysis of mixed capital projects, The Engineering Economist, 39, 165-176. crossref(new window)