Question

You have just won the state lottery and have two choices for collecting your winnings. You can collect $100,000 today or receive $20,000 at the end of each year for the next seven years. A financial analyst has told you that you can earn 10% on your investments. Calculate the present value of both the options. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided. Round your answers to nearest whole dollar.)

Answer 1

Answer:

The present value Option 1 = $100,000

The present value Option 2 =$97.368,57‬

Explanation:

The formula to calculate Present Values is equal to:

Present Value = FV / (1+r) ∧n

Let´s calculate Present Value for Option 2:

PV1 =   $20,000 / (1+0,10) ∧ 1= $18,181.82

PV2 =  $20,000 / (1+0,10) ∧ 2= $16,528.92

PV3 =  $20,000 / (1+0,10) ∧ 3= $15,026.29

PV4 =  $20,000 / (1+0,10) ∧ 4= $13,660.26

PV5 =  $20,000 / (1+0,10) ∧ 5= $12,418.42

PV6 =  $20,000 / (1+0,10) ∧ 6=  $11,289.47

PV7 =  $20,000 / (1+0,10) ∧ 7= $10,263.16

PV1 + PV2 +PV3 +PV4 + PV5 + PV6 + PV7 = $97.368,57‬