In: Finance
Compute the Equivalent Annual Cost for the two machines described below. Assume that both do identical jobs, both will be depreciated using the straight line method to zero salvage value, will have zero scrap value at the end of their useful lives. Use a 10% discount rate and a 30% tax rate.
Important::
This is a multiple Answer question. Choose all correct answers.
Group of answer choices
The Equivalent Annual Cost of Machine A is $14,378
The Equivalent Annual Cost of Machine A is $16,378
The Equivalent Annual Cost of Machine A is $19,378
The Equivalent Annual Cost of Machine B is $9,464
The Equivalent Annual Cost of Machine B is $15,214
The Equivalent Annual Cost of Machine B is $17,464
Machine A
Time line | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
Cost of new machine | -70000 | ||||||||||
=Initial Investment outlay | -70000 | ||||||||||
100.00% | |||||||||||
Depreciation | Cost of equipment/no. of years | -10000 | -10000 | -10000 | -10000 | -10000 | -10000 | -10000 | 0 | =Salvage Value | |
=after tax operating cash flow | -5000.00 | -5000.00 | -5000 | -5000 | -5000 | -5000 | -5000 | ||||
+Tax shield on salvage book value | =Salvage value * tax rate | 0 | |||||||||
=Terminal year after tax cash flows | 0 | ||||||||||
Total Cash flow for the period | -70000 | -5000.00 | -5000.00 | -5000.00 | -5000 | -5000 | -5000 | -5000 | |||
Discount factor= | (1+discount rate)^corresponding period | 1 | 1.1 | 1.21 | 1.331 | 1.4641 | 1.61051 | 1.771561 | 1.9487171 | ||
Discounted CF= | Cashflow/discount factor | -70000 | -4545.454545 | -4132.231405 | -3756.574005 | -3415.1 | -3104.607 | -2822.37 | -2565.79059 | ||
NPV= | Sum of discounted CF= | -94342.09 |
Year or period | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
EAC | -19378.38414 | -19378.38414 | -19378.38414 | -19378 | -19378.38 | -19378.38 | -19378.3841 | ||
Discount factor= | (1+discount rate)^corresponding period | 1.1 | 1.21 | 1.331 | 1.4641 | 1.61051 | 1.771561 | 1.9487171 | |
Discounted CF= | Cashflow/discount factor | -17616.71285 | -16015.1935 | -14559.26682 | -13236 | -12032.45 | -10938.59 | -9944.17514 | |
NPV= | -94342.09 | ||||||||
EAC is equivalent yearly CF with same NPV = | -19378.38414 |
Machine B
Year or period | 0 | 1 | 2 | 3 | 4 | |
EAC | -17464.12298 | -17464.12298 | -17464.12298 | -17464 | ||
Discount factor= | (1+discount rate)^corresponding period | 1.1 | 1.21 | 1.331 | 1.4641 | |
Discounted CF= | Cashflow/discount factor | -15876.47544 | -14433.15949 | -13121.05408 | -11928 | |
NPV= | -55358.92 | |||||
EAC is equivalent yearly CF with same NPV = | -17464.12298 |