Question

Alex Meir recently won a lottery and has the option of receiving one of the following...

Alex Meir recently won a lottery and has the option of receiving one of the following three prizes: (1) $70,000 cash immediately, (2) $24,000 cash immediately and a six-period annuity of $8,100 beginning one year from today, or (3) a six-period annuity of $14,500 beginning one year from today. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)

1. Assuming an interest rate of 7%, determine the present value for the above options. Which option should Alex choose?

Assuming an interest rate of 7%, determine the present value for the above options. Which option should Alex choose? (Round your final answers to nearest whole dollar amount.)

Annuity Payment PV Annuity Immediate Cash PV Option
Option 1 + = $0
Option 2 + = $0
Option 3 + = $0
Which option should Alex choose?

Homework Answers

Answer #1
Annuity Payment PV Annuity Immediate Cash PV Option
Option 1 0 0 + 70000 = 70000
Option 2 8100 38601 + 24000 = 62601
Option 3 14500 69100 + 0 = 69100
Which option should Alex choose
Alex should choose Option 1
Workings:
Option 2:
Annuity payment 8100
X PV factor 4.76554 =(1-(1.07)^-6)/0.07
PV Annuity 38601
Option 3:
Annuity payment 14500
X PV factor 4.76554
PV Annuity 69100
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