In: Finance
Cookies R Us Incorporated is evaluating a new cookie cutting machine that will cost $500,000. The machine can be depreciated on a straight-line basis to zero over 10 years. It will provide the company with annual before-tax savings of $135,000. The marginal corporate tax rate is 40% and the required rate of return is 15%. What is the net present value of this cost-cutting asset?
Multiple Choice
$128,611.12
$157,458.69
-$193,855.11
$6,895.63
$277,909.14
$6,895.63
Step-1:Calculation of annual cash flows | ||||||
Annual before tax saving (a) | 1,35,000.00 | |||||
Depreciation (b) | 50,000.00 | |||||
Profit before tax(c=a-b) | 85,000.00 | |||||
Tax Expense (d=c*40%) | 34,000.00 | |||||
Net Income (e=c-d) | 51,000.00 | |||||
Depreciation (b) | 50,000.00 | |||||
Annual cash flow (e+b) | 1,01,000.00 | |||||
Working: | ||||||
Annual depreciation | = | (Cost - Salvage Value)/Useful Life | ||||
= | (500000-0)/10 | |||||
= | $ 50,000 | |||||
Step-2:Calculation of net present value | ||||||
Present Value of annual cash flow | $ 5,06,895.63 | |||||
Cost of Machine | $ 5,00,000.00 | |||||
Net Present Value | $ 6,895.63 | |||||
Working: | ||||||
Present Value of annual cash flow | =-pv(rate,nper,pmt,fv) | Where, | ||||
= $ 5,06,895.63 | rate | = | 15% | |||
nper | = | 10 | ||||
pmt | = | 1,01,000.00 | ||||
fv | = | 0 |