Friday, March 16, 2018

103-Compound interest calculating tool

We will now investigate an issue related to Compound Interest.
Let's explore the concept of Compound Interest with a concrete example.
The following section addresses a common issue related to compound interest.
Now, we will focus on the computation of Compound Interest.
We will examine a typical problem that illustrates the application of Compound Interest.



Formula:

A = total amount, P = the principal or the sum of money that is either deposited or borrowed, r = the annual interest rate expressed in decimal form, n = the number of compounding periods each year, and t = the time measured in years.


Example 1: If you invest Rs 7,000 in an account that offers a 5% annual interest rate compounded every two months, what will be the total amount in the account after 6 years? What will be the total interest accrued over 6 years? According to the compound interest formula, what is the annual interest amount and the effective interest rate, PCPA?


Solution:
Given:
Principal amount P = 7000, interest rate r = 0.05, n = 2 (because interest is computed every two months), and t = 6. In this case, we can utilize a logarithm to perform these calculations. Please follow the subsequent steps closely.

Take a look at the software tool designed to obtain these results systematically. Click on the image below and experiment with the outcomes for your values.


The upcoming blog will explore additional software tools for calculating compound interest.

ANIL SATPUTE