Question

In: Finance

Washington Mill Works is considering purchasing a large resawing band saw for $30,000. The saw has...

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.

Solutions

Expert Solution

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)

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