Math, asked by aarohn2022, 6 months ago

Georgina invested $20000 in an account which paid 6.2% p.a. interest, compounded monthly for 3 years. Inflation averaged 1.8% per year over this time.
a Calculate the future value of the investment.
b Find the real value of the investment.

Answers

Answered by amitnrw
1

Given : Georgina invested $20000 in an account which paid 6.2% p.a. interest, compounded monthly for 3 years.

Inflation averaged 1.8% per year over this time.

To Find  : a Calculate the future value of the investment.

b Find the real value of the investment.

Solution :

Georgina invested $20000 in an account which paid 6.2% p.a. interest, compounded monthly for 3 years.

P = $20000

R = 6.2% p.a = 6.2/12  per month

n = 3 years = 36 months

A = P(1  + R/100)ⁿ

=> A =  20000( 1 + 6.2/1200)³⁶

=>  A ≈  24,077

real value of the investment. =  24,076.9  

Inflation averaged 1.8% per year over this time.

=>  100(1 + 1.8/100)³  = 105.5  

105.5  has  Value  100

1   has  Value  100/105.5

=> 24,077 has  Value ≈  22822

future value of the investment. ≈  22822

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