l Simple and Compound and Continuous Interest Calculator

Enter 3 out of 4 below

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

Given a principal of 1000,
an interest rate of 15%,
and time of 9

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 = 1000(2.718281828459)(0.15)(9)

Accumulated Value = 1000(2.718281828459)1.35

Accumulated Value = 1000 x 3.857425530697

Calculate the total interest earned:

Total Interest Earned = Accumulated Value - Principal

Total Interest Earned = 3857.43 - 1000

Total Interest Earned = 2857.43

Calculate the interest earned:

Interest per Period  =  Interest Earned
  t

Interest per Period  =  2857.43
  9

Interest per period = 317.49222222222

Final Answer


Accumulated Value using Continuous Interest = 3857.43