Question
Expected value analysis: San Lucas Corporation San Lucas Corporation is considering investment in robotic machinery based upon the following estimates: Cost of robotic machinery $4,000,000
Expected value analysis: San Lucas Corporation
San Lucas Corporation is considering investment in robotic machinery based upon the following estimates:
Cost of robotic machinery | $4,000,000 |
Residual value | 300,000 |
Useful life | 10 years |
Assume San Lucas Corporation assigns the following probabilities to the estimated annual net cash flows:
Annual Net Cash Flow | Probability of Occurring |
$900,000 | 0.10 |
700,000 | 0.50 |
500,000 | 0.40 |
Total | 1.00 |
a. Compute the expected value of the annual net cash flows.
Annual Net Cash Flow | Expected Value | |
$900,000 | $ | |
700,000 | ||
500,000 | ||
Total | $ |
b. Determine the expected net present value of the equipment, assuming a desired rate of return of 10% and the expected annual net cash flows computed in part (a). Use the present value tables (Exhibit 2 and 5) provided in the chapter in determining your answer.
Net present value: $?
San Lucas Corporation is considering investment in robotic machinery based upon the following estimates:
Cost of robotic machinery | $4,000,000 |
Residual value | 300,000 |
Useful life | 10 years |
a. Determine the net present value of the equipment, assuming a desired rate of return of 10% and annual net cash flows of $700,000. Use the present value tables appearing in Exhibit 2 and 5 of this chapter.
Net present value: $?
b. Determine the net present value of the equipment, assuming a desired rate of return of 10% and annual net cash flows of $500,000, $700,000, and $900,000. Use the present value tables (Exhibit 2 and 5) provided in the chapter in determining your answer. If required, use the minus sign to indicate a negative net present value.
Annual Net Cash Flow | $500,000 | $700,000 | $900,000 |
Net present value | $? | $? | $? |
c. Determine the minimum annual net cash flow necessary to generate a positive net present value, assuming a desired rate of return of 10%. Round to the nearest dollar.
Annual Net Cash Flow: $?
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