CAGR Calculator

coursera

AadityaJ
Data Science

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Introduction

  • Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from different data sets such as revenue growth of companies in the same industry.
  • So in my app I have tried to calculate CAGR based on Intial value of commodity and Final Value of it and the number of years over which it is compounded.

Functioning

Formula

  • \[(CAGR)(t_0,t_n) = \left( {V(t_n)/V(t_0)} \right)^\frac{1}{t_n-t_0} - 1 \]
  • \[V(t_0) : start value, V(t_n) : finish value, t_n - t_0 : number of years.\]
  • Actual or normalized values may be used for calculation as long as they retain the same mathematical proportion.

Implementation In R

stav<-100
endv<-200
years<-5
cagr<-(((endv/stav)^(1/years))-1)*100
cagr

## [1] 14.86984

So suppose I have an initial Value of commmodity at 100(units) and over a duration of 5 years it grew to become 200(units) . Then it grew at a compounded rate of 14.86984 percent per annum .

Uses and MyShinyApp

These are some of the common CAGR applications:

  • Calculating and communicating the average returns of investment funds
  • Demonstrating and comparing the performance of investment advisors
  • Comparing the historical returns of stocks with bonds or with a savings account
  • Forecasting future values based on the CAGR of a data series (you find future values by multiplying the last datum of the series by (1 + CAGR) as many times as years required). As every forecasting method, this method has a calculation error associated.
  • Analyzing and communicating the behavior, over a series of years, of different business measures such as sales, market share, costs, customer satisfaction, and performance.

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