Yani has $12,000 for investment purposes. His bank has offered
the following three choices: Choice 1. A special savings
certificate that will pay $70 each month for 5 years and a lump sum
payment at the end of 5 years of $13,000 Choice 2. Buy a share of a
racehorse for $12,000 that will be worth $17,500 in 5 years Choice
3. Put the money in a savings account that will have an interest
rate of 12% per year compounded monthly Use an annual worth
analysis to make a recommendation to Yani.
What is the annual worth of each choice?
Choice 1, Certificate: $_______
Choice 2, Racehorse: $________
Choice 3, Savings Account: $________
Ans- Future value of money refers to the equivalent worth of the sum of money in the future based on its underlying rate of interest and time period. The future worth of money increases as the interest rates and time rises.
Choice 1:
The future worth of the savings certificate can be calculated with the following equation.
FV=Anm+PV
Where:
A=monthly annuity
n=number of years
m=periodicity
PV=par value
FV=(70×5×12)+13000
FV=4200+13000
FV=17,200
The future worth of Choice 1 is $17,200
Choice 2:
The future worth of this option in the next 5 years is $17,500
Choice 3:-
Calculate the future value of the savings account in the next five years-
FV=PV×(1+r)n
FV=12000×(1+.12)5
FV=12000×1.7623
FV=21,148.10
The future worth of Choice 3 in the next five years is $21,148.10
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