Dividend Reinvestment (DRIP) Calculator Formula
Understand the math behind the dividend reinvestment (drip) calculator. Each variable explained with a worked example.
Formulas Used
With DRIP (Reinvested)
with_drip = initial_investment * pow(1 + total_return, years)Without DRIP (Price Only)
without_drip = initial_investment * pow(1 + price_growth / 100, years)DRIP Advantage
drip_advantage = initial_investment * pow(1 + total_return, years) - initial_investment * pow(1 + price_growth / 100, years)Cumulative Dividends Earned
total_dividends = initial_investment * pow(1 + total_return, years) - initial_investment * pow(1 + price_growth / 100, years)Variables
| Variable | Description | Default |
|---|---|---|
initial_investment | Initial Investment(USD) | 10000 |
dividend_yield | Annual Dividend Yield(%) | 3 |
price_growth | Annual Price Growth(%) | 5 |
years | Investment Period(years) | 20 |
total_return | Derived value= (dividend_yield + price_growth) / 100 | calculated |
How It Works
Dividend Reinvestment Plans (DRIP)
A DRIP automatically uses dividend payments to purchase additional shares, creating a compounding effect.
How Compounding Amplifies Returns
Formula
With DRIP = Investment x (1 + Yield + Growth)^Years
Without DRIP = Investment x (1 + Growth)^Years
The difference widens dramatically over longer time periods.
Worked Example
$10,000 invested in a stock with 3% dividend yield and 5% price growth for 20 years.
- 01Total return with DRIP = 3% + 5% = 8%
- 02With DRIP: $10,000 x (1.08)^20 = $46,610
- 03Without DRIP: $10,000 x (1.05)^20 = $26,533
- 04DRIP advantage = $46,610 - $26,533 = $20,077
- 05Reinvesting dividends nearly doubled the investment outcome
Frequently Asked Questions
What is a DRIP?
A Dividend Reinvestment Plan (DRIP) automatically reinvests cash dividends into additional shares or fractional shares of the underlying stock. Most brokerages offer free DRIP enrollment.
Are DRIP dividends taxable?
Yes. Even though dividends are reinvested, they are still taxable income in the year received. You will owe taxes on dividends whether or not you take them as cash.
When should I NOT use a DRIP?
Consider taking dividends as cash when: you are in retirement and need income, the stock is overvalued, you want to diversify, or you have better investment opportunities elsewhere for that capital.
Ready to run the numbers?
Open Dividend Reinvestment (DRIP) Calculator