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

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

month 1 start amount =$3287.90 interest=(3287.90x0.0145/12)3.97 total to pay=$3291.81 paid =$1200 balance =$2,091.87

month 2 starting amount= $2,091.87 interest =$25.28 total to pay =$2117.15 paid =$1200 balance $917.15

month 3 starting amount =$917.15 interest =$11.08 total to pay =$928.23 paid =$928.23 balance =$0 total to pay 1200+1200+928.23 = $3328.23 it will take 3 months to pay a total of $3328.23

you will have $2593.74 in 10 years if you set aside $1,000 at 10%

you will have $9321.91 in 20 years if you set aside $2000 at 8%

you will have $1469.32 in 5 years if you set aside $1000 at 8%

you will have $1296.87 in 10 years if you set aside $500 at 10%

you will have $239.66 in 15 years if you set aside $100 at 6%

you will have $4660.96 in 20 years if you set aside $1000 at 8%