Project A requires a capital investment of $2,000 and promises a
payment of $1,000 at the end of Years One, Two, and Three. If the
investor's required rate of return is 12%, what is the NPV of the
investment? We can use the NPV formula with the values CF
1, CF2,and CF3 = $1,000, CF 0 = $2,000, T = 3, and R = 0.12.
NPV = CFt[1/ (1 + R)]t CF
NPV = $1,000[1 / (1.12)]1 + $1,000[1 / (1.12)]2 + $1,000[1 / (1.12)]3 - $2,000
NPV = $1,000[0.8929] + $1,000[0.7972] + $1,000[0.7118] - $2,000
NPV = $401.83
Using the
financial
calculator
To solve for NPV with your financial calculator, enter each of the cash
flows and capital investments in their proper order. Enter the discount
rate of 12% and push the NPV key to get $401.83. Project A has a
positive net present value.
Analyzing
opportunity cost
for use of funds
Some analysts use net present value to determine if the cash flows are
sufficient to repay the capital investment plus an amount for the
opportunity cost of using the company's funds. A positive NPV means
that the project is able to repay the initial investment, pay the
opportunity cost for the use of the funds, and generate additional funds
that create value for the company; a negative NPV means that the
project cannot generate enough funds to cover the original investment
and the opportunity cost for the use of the funds.
Practice what you have learned about calculating the net present value of an investment by
completing the Practice Exercise that begins on page 5-13; then continue to the section
on "Internal Rate of Return".
|