Enter 3 out of 4 below

<-- Accum Value
<-- Principal
<-- Interest %
<-- Time
      

Given a principal of 4500,
an interest rate of 3%,
and time of 7

Calculate the Accumulated Value using Continuous Interest

The formula for Accumulated Value using Continuous Interest is:

Accumulated Value = Pert where e = 2.718281828459

Plugging in our values that we entered, we get:

Accumulated Value = 4500(2.718281828459)(0.03)(7)

Accumulated Value = 4500(2.718281828459)0.21

Accumulated Value = 4500 x 1.2336780599567

Calculate the total interest earned:

Total Interest Earned = Accumulated Value - Principal

Total Interest Earned = 5551.55 - 4500

Total Interest Earned = 1051.55

Calculate the interest earned:

Interest per Period  =  Interest Earned
  t

Interest per Period  =  1051.55
  7

Interest per period = 150.22142857143

Final Answer

Accumulated Value using Continuous Interest = 5551.55





What is the Answer?
Accumulated Value using Continuous Interest = 5551.55
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 = Pert

For more math formulas, check out our Formula Dossier

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
simple and compound and continuous interest
Simple and Compound and Continuous Interest Calculator Video

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