Final answer:
Under the lease alternative, the after-tax cash outflow for each of the next four years is calculated to be $4,125,000, and the present value of the cash outflows is $14,624,265.
Step-by-step explanation:
To calculate the after-tax cash outflows for each of the next four years under the lease alternative, we need to determine the annual payment and deduct any tax savings from it. In this case, the annual payment is $5,500,000. Since the lease payment is a tax-deductible expense, we can calculate the tax savings by multiplying the payment by the tax rate of 25%, which gives us $1,375,000. Therefore, the after-tax cash outflow for each year would be $5,500,000 - $1,375,000 = $4,125,000.
To calculate the present value of the cash outflows, we need to discount the future cash flows using the appropriate discount rate. Let's assume a discount rate of 8% for this calculation. We can use the formula PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of periods. Plugging in the values, we get:
- Year 1: PV = $4,125,000 / (1 + 0.08)^1 = $3,819,444
- Year 2: PV = $4,125,000 / (1 + 0.08)^2 = $3,535,012
- Year 3: PV = $4,125,000 / (1 + 0.08)^3 = $3,263,893
- Year 4: PV = $4,125,000 / (1 + 0.08)^4 = $3,005,916
Therefore, the present value of the cash outflows over the next four years is $3,819,444 + $3,535,012 + $3,263,893 + $3,005,916 = $14,624,265.