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eimsori [14]
3 years ago
15

(Present value tables are needed.) Miami Marine Enterprises is evaluating the purchase of an elaborate hydraulic lift system for

all of its locations to use for the boats brought in for repair. The company has narrowed their choices down to two: the B14 Model and the F54 Model. The B14 model is considered to be riskier than the F54 model so the rate of return required for it is higher. Financial data about the twochoices follows.
B14 Model F54 Model
Investment $ 320,000 $ 240,000
Useful life (years) 8 8
Estimated annual net cash inflows for useful life $ 75,000 $ 40,000
Residual value $ 30,000 $ 10,000
Depreciation method Straight-line Straight-line
Required rate of return 14% 10%

What is the total present value of future cash inflows and residual value from the B14 Model?

A. $218,070
B. $410,655
C. $358,455
D. $38,455
Business
1 answer:
amm18123 years ago
8 0

Answer:

C. $358,455

Explanation:

As per given data

                                                           B14 Model    F54 Model

Investment                                         $320,000    $240,000

Useful life (years)                                      8                 8

Estimated annual net cash inflows   $75,000      $40,000

Residual value                                    $30,000     $10,000

Depreciation method Straight-line Straight-line

Required rate of return                        14%                10%

Net Present value of the net cash inflows can be calculated by using the formula of present value of annuity because the cash inflows of each year are constant cash flows.

Present value of Annuity = P x [ ( 1 - ( 1 + r )^-n ) / r ]

Where

P = Annual cash inflows = $75,000

r = required rate of return = 14%

n = numbers of periods = 8 years

Placing values in the formula

Present value of cash inflows = $75,000 x [ ( 1 - ( 1 + 14% )^-8 ) / 14% ]

Present value of cash inflows = $347,915

Present value of residual value of asset can be calculated by discounting the residual value using required rate of return.

Formula for Discounting

Present value = P (1 + r)^-n

Where

P = Value to be discounted = $30,000

r = required rate of return = 14%

n - numbers of periods = 8 years

Placing values in the formula

Present value of residual value = $30,000 x ( 1 + 14% )^-8 = $10,517

Total Present value = $10,517 + 347,915 = 358,432

There is a difference due to the rounding effect in the calculations, the closest value id C. $358,455

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