Question
This question was answered below with this; - The answer I got was $7066.27. Can you use the present value found in Part 1 A,
This question was answered below with this; - The answer I got was $7066.27. Can you use the present value found in Part 1 A, 12% discount rate until year 4. I don't understand why we are using year 5 and year 0 when the question asks Year 1 through Year 4.
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To calculate the equivalent annual lease payments, we need to first find the present value of all the lease payments over the four-year period. We can use the formula for present value of an annuity
PV = Payment / (1 + r)^n
where PV is the present value, Payment is the annual payment, r is the discount rate, and n is the number of years.
Using the given payments and the minimum discount rate of 12%, we can find the present value of each payment and add them up to get the total present value of the lease payments:
PV = 3000/(1+0.12)^1 + 6000/(1+0.12)^2 + 7000/(1+0.12)^3 + 7000/(1+0.12)^4 + 4000/(1+0.12)^5
Simplifying this expression, we get:
PV = 3000/1.12 + 6000/1.12^2 + 7000/1.12^3 + 7000/1.12^4 + 4000/1.12^5
Calculating this on a calculator or spreadsheet, we get PV = $22,331.45
Next, to find the equivalent annual lease payment, we need to find the payment that has the same present value as the sum of the lease payments over the four-year period. This can be done using the formula for the present value of a perpetuity:
PV = Payment / r
where r is the discount rate and Payment is the equivalent annual payment.
Rearranging this equation, we get:
Payment = PV * r
Substituting the values we know, we get:
Payment = $22,331.45 * 0.12
Simplifying this expression, we get:
Payment = $2,679.74
Therefore, the equivalent annual lease payment is $2,679.74 per year.
To find the equivalent annual lease payments for years 1 through 4, we can simply add up the present values of the lease payments for those years and use the same formula for the present value of a perpetuity. So, we have:
Equivalent annual lease payments for year 1 through 4 = (6000/(1+0.12)^1 + 7000/(1+0.12)^2 + 7000/(1+0.12)^3 + 4000/(1+0.12)^4) * 0.12
Simplifying this expression, we get:
Equivalent annual lease payments for year 1 through 4 = $19,162.53
Therefore, the equivalent annual lease payments for years 1 through 4 is $19,162.53 per year.
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the corrected calculation 1 Calculate the present value of the lease payments for years 1 through 4 ...Get Instant Access to Expert-Tailored Solutions
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