Simple and Compound and Continuous Interest Calculator

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Enter 3 out of 4 below

Given a principal of 540, an interest rate of 4.7%, and time of 18

Calculate the Accumulated Value using Continuous Interest

The formula for Accumulated Value using Continuous Interest is:

Accumulated Value = Pe^{rt} where e = 2.718281828459

Plugging in our values that we entered, we get:

Accumulated Value = 540(2.718281828459)^{(0.047)(18)}

Accumulated Value = 540(2.718281828459)^{0.846}

Accumulated Value = 540 x 2.3303069567618

Calculate the total interest earned:

Total Interest Earned = Accumulated Value - Principal

Total Interest Earned = 1258.37 - 540

Total Interest Earned = 718.37

Calculate the interest earned:

Interest per Period =

Interest Earned

t

Interest per Period =

718.37

18

Interest per period = 39.909444444444

Final Answer

Accumulated Value using Continuous Interest = 1258.37

What is the Answer?

Accumulated Value using Continuous Interest = 1258.37

How does the Simple and Compound and Continuous Interest Calculator work?

Free Simple and Compound and Continuous Interest Calculator - Calculates any of the four parameters of the simple interest formula or compound interest formula or continuous compound formula
1) Principal
2) Accumulated Value (Future Value) 3) Interest 4) Time. This calculator has 4 inputs.

What 3 formulas are used for the Simple and Compound and Continuous Interest Calculator?

Accumulated Value = Principal * (1 + (interest rate * time)) Accumulated Value = Principal x (1 + interest rate)^{time} Accumulated Value = Pe^{rt}

What 5 concepts are covered in the Simple and Compound and Continuous Interest Calculator?

accumulated value

The total value of an investment, including principal and interest accrued

future value

the value of a current asset at a future date based on an assumed rate of growth

interest

payment from a borrower or deposit-taking financial institution to a lender or depositor of an amount above repayment of the principal sum, at a particular rate

principal

The amount borrowed on a loan, before interest is charged