Question

Tide company is planning to replace old machinery with new, more efficient equipment. The company spent...

Tide company is planning to replace old machinery with new, more efficient equipment. The company spent $100,000 on a market study months ago. The new machinery will cost $2,500,000 and has an estimated salvage value of $400,000. In order to make the machinery operatable, the Tide must pay $120,000 for shipping and $150,000 for training. With the anticipated growth due to the machinery replacement, Tide has to invest $90,000 in working capital. The machinery will be depreciated via the simplified straight-line depreciation method over its 25 year life. What is the annual depreciation expense?

  • $98,400
  • $102,400
  • $110,800
  • $84,000
  • $94,800

A company is evaluating an 8-year project that costs $200,000 and has annual net cash flows of $50,000 per year. The company’s cost of capital is 13%. What is the equivalent annual annuity of the project ?

  • $4,992
  • $8,323
  • $91,677
  • $41,677
  • $39,939

Homework Answers

Answer #1

1. We have to take the cost of purchasing the new machinery which is a depreciable asset.

Cost of new machinery=$2,500,000

But the salvage value=$400,000

The original cost=$2500000-$400,000=$2,100,000

Annual depreciation charges=Cost/life of the machine=$2,100,000/25=$84,000 (Option d is correct)

2. Here first we have to find the NPV using NPV function in EXCEL

=NPV(rate,Year1 to Year8 cashflows)-Year0 cashflow

=NPV(13%,Year1 to Year8 cashflows)-200,000

NPV=$39,938.51

The equivalent annual annuity (EAA) has to be found by using PMT function in EXCEL

=PMT(rate,nper,pv,fv,0)

rate=13%

nper=8

pv=39938.51

fv=0

=PMT(13%,8,-39938.51,0)

PMT=$8323

EAA=$8323 (Option b is correct)

Cost of capital 13%
Cashflows
Year0 -200000
Year1 50000
Year2 50000
Year3 50000
Year4 50000
Year5 50000
Year6 50000
Year7 50000
Year8 50000
NPV 39938.51
EAA 8323
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