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Welch Corporation is planning an investment with the following characteristics (Ignore income taxes.): Useful life 6...

Welch Corporation is planning an investment with the following characteristics (Ignore income taxes.):

Useful life 6 years
Yearly net cash inflow $ 45,000
Salvage value $ 0
Internal rate of return 18 %
Required rate of return 14 %

The initial cost of the equipment is closest to:

Multiple Choice

  • $175,005

  • $235,890

  • Cannot be determined from the given information.

  • $157,410

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Answer #1

Answer

  • Correct Answer = Option #4: $ 157,410
  • At IRR, present value of cash inflows = present value of cash outflow
    OR
    present value of cash inflows = initial cost of investment.
  • Present value annuity factor for IRR 18%
    = 1/(1.18)1+(1.18)2+(1.18)3+(1.18)4+(1.18)5+(1.18)6
    = 3.498
  • Cost of Equipment = Annual Cash inflow x Present value factor
    = $ 45000 x 3.498
    = $ 157,410 Answer
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