Question

Ambrin Corp. expects to receive $2,000 per year for 10 years and $3,500 per year for the next 10 years. What is the present value of this 20 year cash flow? Use an 11% discount rate.
A. $19,034
B. $27,870
C. $32,389
D. none of these

Answer 1

Answer:

A. $19,034

Explanation:

The computation of the present value for 20 years cash flow is shown below:

For the First 10 years

Given that

Payment for first 10 years = $2,000

Discount rate = 11%

Now the present value is

= $2000 ÷ 1.11 + $2,000 ÷ 1.11^2 +...........+ $2,000 ÷1.11^10

= 11,778.46402 ..............(1)

For the Next 10 years

Given that

Payment for next 10 years = 3,500

Discount rate = 11%

Now the present value is

= $3,500 ÷ 1.11 + $3,500 ÷ 1.11^2 +...........+ $3,500 ÷ 1.11^10

= 20,612.312

So, today present value is

= $20,612.312 ÷ 1.1110

= 7,259.339 ...........................(2)

Now

Total present value is

= $7,259.339 + $11,778.46402

= $19,034