In: Finance
Washington Mill Works is considering purchasing a large resawing band saw for $30,000. The saw has a useful life estimated to be seven years, at which point it will have an estimated salvage value of $8,000. Annual income each year for the 7 years is $9000. Annual operating expenses are $3,000. Assume MARR = 7.5% and the planning horizon is 7 years. What is the present worth, annual worth, future worth, internal/external rate of return?
Please answer all parts. Include a cashflow diagram if possible.
Given: | ||||||||||
Minimum Acceptable rate of return | 7.50% | |||||||||
Planning period in years | 7 | |||||||||
BandSaw Cost | $ 30,000 | |||||||||
Salvage Value | $ 8,000 | |||||||||
Depriciation amount | $ 3,143 | |||||||||
Cashflow Diagram | ||||||||||
Particulars | YEARS | YEAR 0 | YEAR 1 | YEAR 2 | YEAR 3 | YEAR 4 | YEAR 5 | YEAR 6 | YEAR 7 | ||
Revenue | $ - | $ 9,000 | $ 9,000 | $ 9,000 | $ 9,000 | $ 9,000 | $ 9,000 | $ 9,000 | ||
Operating Exp. | $ - | $ 3,000 | $ 3,000 | $ 3,000 | $ 3,000 | $ 3,000 | $ 3,000 | $ 3,000 | ||
BandSaw Cost | -$ 30,000 | $ - | $ - | $ - | $ - | $ - | $ - | $ - | ||
Depreciation | $ - | $ 3,143 | $ 3,143 | $ 3,143 | $ 3,143 | $ 3,143 | $ 3,143 | $ 3,143 | ||
Salavage Value | $ - | $ - | $ - | $ - | $ - | $ - | $ - | $ 8,000 | ||
Net Cash flow | -$ 30,000.00 | $ 2,857.14 | $ 2,857.14 | $ 2,857.14 | $ 2,857.14 | $ 2,857.14 | $ 2,857.14 | $ 10,857.14 | ||
ANSWERS: | ||||||||||
(1) Present Worth | -$ 10,044.81 | Using NPV formula in excel = (discount rate, Cashflow)+investment = (7.5%, C19:I19)+(-30000) | ||||||||
(2) Annual Worth | -$ 1,896.46 | Using formula = annual worth = PV* ( (i*(1+i)^n) / ((1+i)^n -1) ) = -10044.81*(( 0.075*(1.075^7))/ ((1.075^7)-1)) | ||||||||
(3) Future Value | $ 25,106.61 | Using FV formula in excel = (rate, nper, PMT) = (7.5%, 7, 2857.14) | ||||||||
(4) IRR | -1.40% | Using IRR formula = ( value, [Guess]) = (B19:I19) |