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elk grovian bookstore desire to buy a new coding machine to help control book in

ID: 2452994 • Letter: E

Question

elk grovian bookstore desire to buy a new coding machine to help control book inventories. The machine sells for $36,586 an requires working capital of $4000. Its estimated useful life is five years and will have a salvage value of $4,000. Recovery of working capital will be $4,000 at the end of its useful life. Annual cash saving from the purchase of the machine will be $10,000. Ignore income taxes. Required: a. Compute the net present value at a 14 percent required rate of return. b. Compute the internal rate of return. c. Determine the payback period of the investment.

Explanation / Answer

Answer:-

b.Trial and error is required. Because net present value is negative in part a, theinternal rate of return is less than 14%. Start by trying 12%

Answer

With a zero net present value, the internal rate of return is 12%

c.Payback period = ($36,586 + $4,000)/$10,000 = 4.06 years

Predicted cash flow Years Pv factor PV of Cash flow Investment $               (36,586) 0 1       (36,586) Working capital needed                      (4,000) 0 1          (4,000) Annual operations                     10,000 1-5 3.433         34,330 Working capital returned                       4,000                5 0.519           2,076 Salvage Value                       4,000 5 0.519           2,076 Net present value          (2,104)