Solution 19.27 Repeat Problem 19.26, except use the normal dis­tribution for the CFAT in years 7 through 10 with an expected value of $2 million and a standard de­viation of $500,000.

Problem 19.26

Jennifer, a senior project manager, estimated net cash flow after taxes (CFAT) for a large project she is working on. The additional CFAT of $2,800,000 in year 10 is the salvage value, estimated at 9% of the $31 million first cost for all capital assets.



The PW value at the current MARR of 7% per year is



PW = ?31,000 + 5400(P?A,7%,6) + 2040(P?A,7%,4)(P?F,7%,6) + 2800(P?F,7%,10) = $767



Jennifer believes the MARR will vary over a relatively narrow range, as will the CFAT, especially during the out years of 7 through 10. She is willing to accept the other estimates as certain. Use the following probabil­ity distribution assumptions for MARR and CFAT to perform a simulation—hand- or spreadsheet-based.

MARR. Uniform distribution over the range 6% to 10%.

CFAT, years 7 through 10. Uniform distribu­tion over the range $1,600,000 to $2,400,000 for each year.



Plot the resulting PW distribution. Should the plan be accepted using decision making under cer­tainty? Under risk?


Use the spreadsheet Random Number Generator (RNG) on the tools toolbar to generate

CFAT values in column D from a normal distribution with ? = $2000 and ? = $500. The

RNG screen image is shown below.





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