# The company wants to have \$36

The company wants to have \$36 million for a plant expansion 5years from now. If the company has already set aside \$15 million inan investment account for the expansion, how much more must thecompany add to the account next year (i.e., 1 year from now) sothat it will have the \$36 million 5 years from now? The accountearns interest at 10% per year, compounded quarterly

Future Value required at the end of year 5 = \$36,000,000

– AMount set side today = 15,000,000

Calculating the Amount need to be set aside 1 year from now suchthat firm accumulate the future value:-

Where,

C1 = Amount set side today = \$15,000,000

n1 = no of years for C1 = 5 years

r = Interest rate = 10%

m = no of times compounding in a year = 4 (compoundedQuarterly)

C2 = Amount set side 1 year from now

n2 = no of years for C1 = 4 years

C2 = \$7,693,304.25

So, the Amount set side 1 year from now is\$7,693,304.25

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