Simple and Compound and Continuous Interest Calculator

Publish date: 2024-06-22

Enter 3 out of 4 below

Given an accumulated balance of 3,
principal of 1,
and interest rate of 5.3%,
calculate the Time using Continuous Interest

Accumulated Value Formula

Accumulated Value = Pert where e = 2.718281828459

Divide each side of the equation by A

Cancel P on the right side:

ert =	A
	P

Take the natural log of both sides

Ln(ert) = Ln(A) - Ln(P)
rt = Ln(A) - Ln(P)

Divide both sides of the equation by r:

Ln(A) - Ln(P)

Cancel r on the left side

t =	Ln(A) - Ln(P)
	r

Plugging in our values that we entered, we get:

t =	Ln(3) - Ln(1)
	0.053

t =	1.0986122886681 - 0
	0.053

t =	1.0986122886681
	0.053

Time using Continuous Interest = 20.7285

What is the Answer?

Time using Continuous Interest = 20.7285

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 valueThe total value of an investment, including principal and interest accruedfuture valuethe value of a current asset at a future date based on an assumed rate of growthinterestpayment 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 rateprincipalThe amount borrowed on a loan, before interest is chargedsimple and compound and continuous interest