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Compound Interest - Calculating Time Required to Reach Goal

On this page, the calculator will help you figure out the investment period you need in order to meet your savings goal. Every investor must plan his finances in line with his goal, time horizon and risk appetite  to reach the goal.
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Compound Interest CalculatorCalculating Interest Rate for CompoundingCalculating time required to reach goal
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Principal amount  Future amount
  

Annual interest rate  Number of times per year
%  

Number of years:
  
The formula for calculating time required to reach goal:
  t =ln(F/p)/(ln(1+r/n)n)
  • P =initial principal
  • n = number of times the interest is compounded per year
  • F = future amount after time t
  • r = annual nominal interest rate
  • t = number of years
Example usage: If you start a bank account with $1300 and your bank compounds the interest quarterly at an annual nominal interest rate is 4.8% . Your savings goal is $1900. Using the formula above, with P = 1300, F = 1900, n = 4, and r = 4.8: t=ln(1900/1300)/(ln(1+0.048/4)X4).So, the investment period is 8 years.



Top Use:    Compound Interest:Calculate time required - Principal:200 Future:10000 Interest Rate:8

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