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CFA Level 1
Quantitative Methods

Future Value Calculation with Quarterly Compounding

Medium Time Value Of Money Compounding Frequencies

Maria invested $10,000 in a savings account that earns an annual interest rate of 6% compounded quarterly. How much money will she have in the account after 5 years?

To find the future value of the investment, you can use the formula:

$$ FV = PV imes (1 + r/n)^{nt} $$

where:

  • $$ FV $$ = future value
  • $$ PV $$ = present value
  • $$ r $$ = annual interest rate (decimal)
  • $$ n $$ = number of compounding periods per year
  • $$ t $$ = number of years

Hint

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