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?
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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 ?
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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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