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Calculating discounted payback period? The payback method helps firms establish

ID: 2744155 • Letter: C

Question

Calculating discounted payback period?

The payback method helps firms establish and identify a maximum acceptable payback period that helps in their capital budgeting decisions. Consider this case: Blue Hamster Manufacturing Inc. is a small firm, and several of its managers are worried about how soon the firm will be able to recover its initial investment from Project Sigma's expected future cash flows. To answer this question, Blue Hamster's CFO has asked that you compute the project's payback period using the following expected net cash flows and assuming that the cash flows are received evenly throughout each year. Complete the following table and compute the project's conventional payback period. For full credit, complete the entire table. The conventional payback period ignores the time value of money, and this concerns Blue Hamster's CFO. He has now asked you to compute Sigma's discounted payback period, assuming the company has a 10% cost of capital. Complete the following table and perform any necessary calculations. Round the discounted cash flow values to the nearest whole dollar, and the discounted payback period to the nearest two decimal places. For full credit, complete the entire table. Which version of a project's payback period should the CFO use when evaluating Project Sigma, given its theoretical superiority? The discounted payback period The regular payback period One theoretical disadvantage of both payback methods-compared to the net present value method-is that they fail to consider the value of the cash flows beyond the point in time equal to the payback period. How much value does the discounted payback period method fail to recognize due to this theoretical deficiency? $3, 446, 281 $1, 809, 917 $1, 446, 281 $5, 309, 917

Explanation / Answer

0 1 2 3 Expected Cash Flow -5500000 2200000 4675000 1925000 Discount Rate 1 0.909091 0.826446 0.751315 Discounted Cash Flow -5500000 2000000 3863636 1446281 . Cumulative Discounted cash flow -5500000 -3500000 363636.4 1809917 Discounted Payback Period 1+3500000/38763636 Discounted Payback Period 1.09 Years

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