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Finance

Future Value (Compound Interest)

Formula
FV = PV × (1 + r/n)^(n×t)

What is Future Value (Compound Interest)?

Future value calculates what an investment will be worth after earning compound interest. PV is the present value, r is the annual rate, n is the number of compounding periods per year, and t is the time in years.

Variables

  • F
    FV — Future value
  • P
    PV — Present value (initial investment)
  • r
    r — Annual interest rate (as a decimal)
  • n
    n — Compounding periods per year
  • t
    t — Time in years

Worked Examples

Example 1

What will $5,000 grow to in 5 years at 8% compounded quarterly?

Solution:

FV = 5000 × (1 + 0.08/4)^(4×5) = 5000 × (1.02)²⁰ ≈ 5000 × 1.486 ≈ $7,429.74

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