The Riteway Ad Agency provides cars for its sales staff. In the past, the company has always purchased its cars from a dealer and then sold the cars after three years of use. The company's present fleet of cars is three years old and will be sold very shortly. To provide a replacement fleet, the company is considering two alternatives:

Purchase alternative: The company can purchase the cars, as in the past, and sell the cars after three years of use. Ten cars will be needed, which can be purchased at a discounted price of $17,000 each. If this alternative is accepted, the following costs will be incurred on the fleet as a whole:


Annual cost of servicing, taxes,

and licensing
$3,000
Repairs, first year
$1,500
Repairs, second year
$4,000
Repairs, third year
$6,000
At the end of three years, the fleet could be sold for one-half of the original purchase price.
Lease alternative: The company can lease the cars under a three-year lease contract. The lease cost would be $55,000 per year (the first payment due at the end of Year 1). As part of this lease cost, the owner would provide all servicing and repairs, license the cars, and pay all the taxes. Riteway would be required to make a $10,000 security deposit at the beginning ot the lease period, which would be refunded when the cars were returned to the owner at the end of the lease contract.
Riteway Ad Agency's required rate of return is 18%.
Required:
(Ignore income taxes.)
1. Use the total-cost approach to determine the present value of the cash flows associated with each alternative. Round all dollar amounts to the nearest whole dollar.
2. Which alternative should the company accept?

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.

To learn more, please check: https://brainly.com/question/13739943