Respuesta :
Answer:
A. Net present value$132,554
B. Net present value$123,480
C. Lease Alternative
Explanation:
A. Calculation to determine the present value of the cash flows associated with Purchase Lease Alternative
PURCHASE LEASE ALTERNATIVE:
Now 1 2 3
Purchase of cars$(170,000)
Annual servicing costs$(3,000)$(3,000)$(3,000)
Repairs (1,500) (4,000) (6,000)
Resale value of cars 85,000
Total cash flows (a)$(170,000)$(4,500)$(7,000)$76,000
Discount factor (b) 1.000 0.847 0.718 0.609 Present value (a) × (b)
=$(170,000)$(3,812)$(5,026)$46,284
Net present value$132,554
[170,000)$(3,812)$(5,026)$46,284=$132,554]
Therefore the present value of the cash flows associated with Purchase Lease Alternative is $132,554
B. Calculation to determine the present value of the cash flows associated with Lease Alternative
LEASE ALTERNATIVE:
Now 1 2 3
Security deposit$(10,000)
Annual lease payments $(55,000)$(55,000)$(55,000)
Refund of deposit 10,000
Total cash flows (a)$(10,000)$(55,000)$(55,000)$(45,000)
Discount factor (b) 1.000 0.847 0.718 0.609 Present value (a) × (b)
=$(10,000)$(46,585)$(39,490)$(27,405)
Net present value $123,480
[$(10,000)$(46,585)$(39,490)$(27,405)=$123,480]
Therefore the present value of the cash flows associated with Lease Alternative is $123,480
C. Based on the above Calculation for (a) and (b) the alternative that the company should accept is LEASE ALTERNATIVE reason been that the alternative Net present value of the total costs is the lowest.
Using the total cost approach, the present value of the purchase alternative is $123,499 and the present value of the lease alternative is $123,499.
The lease alternative would be accepted.
Present value is the sum of discounted cash flows. It is the value of a stream of cash flows today. Present value would be determined using a financial calculator.
Cash flow of the purchase alternatives
Cash flow in year 0 = $17,000 x 10 = $170,000
Cash flow in year 1 = $-3000 - $1500 = $-4500
Cash flow in year 2 = $3000 + $4000 = $7000
Cash flow in year 3 = $3000 + $6000 - ($170,000 / 2) = $-76,000
Discount rate = 18%
Present value = $132,585
Cash flow of lease alternative
Cash flow in year 0 = $10,000
Cash flow in year 1 = $55,000
Cash flow in year 2 = $55,000
Cash flow in year 3 = $55,000- $10,000 = $45,000
Discount rate = 18%
Present value = $123,499
The lease alternative is cheaper and would be preferred.
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