Finance • Capital Gain • Stock Return • Price Appreciation

Capital Gains Yield Calculator

Q: What is the capital gains yield formula?

The formula is CGY = (P1 - P0) / P0 times 100, where P0 is the purchase price and P1 is the current or selling price.

Q: How do you calculate total capital gain for multiple shares?

Use (P1 - P0) times units. The percentage yield is the same per share, but total gain increases with the number of shares or units held.

Use this Capital Gains Yield Calculator to measure the percentage return caused by price appreciation alone. Enter the purchase price and current or selling price to calculate capital gains yield, capital gain amount, price change, investment multiple, and optional total return when dividends are included.

Capital gains yieldUse $CGY=\frac{P_1-P_0}{P_0}\times100$.

Price gain or lossFind the currency change between buy and sell price.

Total return checkAdd dividends using $\frac{P_1-P_0+D}{P_0}\times100$.

Enter capital gain details

Calculate capital gains yield from purchase price and selling/current price Calculate selling/current price from purchase price and capital gains yield Calculate purchase price from selling/current price and capital gains yield Calculate total return with dividends included

Capital gains yield mode selected.
Enter $P_0$ and $P_1$. The calculator uses $CGY=\frac{P_1-P_0}{P_0}\times100$.

Purchase price / initial price $P_0$

Selling price / current price $P_1$

Capital gains yield (%)

Number of shares / units

Use $1$ for per-share calculations, or enter total units to calculate total gain.

Rounding

Currency symbol

Capital gains yield measures price change only. It does not include dividends, taxes, trading fees, currency conversion, or inflation unless you add them separately.

Results

Enter values and calculate.

Main result

$25.00\%$

Capital gain or loss

$25.00

Investment multiple

$1.25\times$

Total return note

Capital gains yield excludes dividends and other income.

Capital gains yield formula

Capital gains yield measures the percentage return created by price appreciation alone. It compares the change in price with the original purchase price. The standard capital gains yield formula is:

\[ CGY=\frac{P_1-P_0}{P_0}\times100 \]

Where:

$CGY$ = capital gains yield, expressed as a percentage
$P_0$ = purchase price, beginning price, or initial price
$P_1$ = selling price, current price, or ending price

If you want the decimal version rather than the percentage version, remove the multiplication by $100$:

\[ CGY_{\text{decimal}}=\frac{P_1-P_0}{P_0} \]

For example, if an asset is purchased for $100$ and later sells for $125$, the capital gains yield is:

\[ CGY=\frac{125-100}{100}\times100=25\% \]

This means the price increased by $25\%$. Capital gains yield is especially common in stock analysis, portfolio measurement, real estate appreciation, investment education, and finance classes. It focuses only on price movement, so it is not always the same as total return.

How to use the Capital Gains Yield Calculator

Choose the calculation type. Select whether you want to calculate capital gains yield, final price, purchase price, or total return with dividends.
Enter the purchase price. This is the original price paid for the asset, usually written as $P_0$.
Enter the selling or current price. This is the later price of the asset, usually written as $P_1$.
Enter shares or units if needed. Use $1$ for a per-share result. Enter more units to calculate total capital gain or loss.
Add dividends only for total return mode. Capital gains yield excludes dividends, but total return includes them.
Click Calculate Capital Gains Yield. The calculator shows the yield, gain or loss, investment multiple, and step-by-step formula substitution.

This calculator is useful for stocks, ETFs, mutual funds, crypto assets, property, collectibles, business value changes, and any asset where price appreciation is important. It is also useful for students learning the difference between capital gain, capital gains yield, dividend yield, and total return.

What is capital gains yield?

Capital gains yield is the rate of return produced by the increase or decrease in an asset’s price. If a stock price rises from $50$ to $60$, the capital gain is $10$, and the capital gains yield is $20\%$. If the price falls from $50$ to $40$, the capital gain is negative, and the capital gains yield is $-20\%$.

The capital gain amount is:

\[ \text{Capital Gain}=P_1-P_0 \]

The capital gains yield is:

\[ CGY=\frac{\text{Capital Gain}}{P_0}\times100 \]

Capital gains yield is a relative measure, which makes it easier to compare assets with different prices. A $10$ gain on a $50$ stock is much stronger than a $10$ gain on a $500$ stock. In the first case, the capital gains yield is $20\%$. In the second case, it is only $2\%$.

Worked example: calculate capital gains yield

Suppose you buy a stock for $100$ and sell it later for $125$. Identify the values:

\[ P_0=100,\qquad P_1=125 \]

Use the capital gains yield formula:

\[ CGY=\frac{P_1-P_0}{P_0}\times100 \]

Substitute the values:

\[ CGY=\frac{125-100}{100}\times100 \]

Calculate the price gain:

\[ 125-100=25 \]

Divide by the purchase price:

\[ \frac{25}{100}=0.25 \]

Convert to a percentage:

\[ 0.25\times100=25\% \]

The capital gains yield is $25\%$. This means the asset’s price increased by $25\%$ from the original purchase price.

Capital gain amount versus capital gains yield

The capital gain amount is a currency amount. Capital gains yield is a percentage. These two measurements answer different questions. The capital gain amount answers: “How much money did the asset gain or lose per unit?” Capital gains yield answers: “What percentage return did the price movement produce compared with the original price?”

The capital gain amount formula is:

\[ \text{Capital Gain}=P_1-P_0 \]

The capital gains yield formula is:

\[ CGY=\frac{P_1-P_0}{P_0}\times100 \]

For example, a price increase from $20$ to $30$ is a $10$ gain, and the yield is $50\%$. A price increase from $200$ to $210$ is also a $10$ gain, but the yield is only $5\%$. Same currency gain, very different percentage return.

Capital gains yield versus total return

Capital gains yield only measures price appreciation. Total return includes both price appreciation and income, such as dividends, distributions, or other cash payments. If a stock pays dividends, capital gains yield may understate the actual return earned by the investor.

The capital gains yield formula is:

\[ CGY=\frac{P_1-P_0}{P_0}\times100 \]

The total return formula with dividends is:

\[ \text{Total Return}=\frac{P_1-P_0+D}{P_0}\times100 \]

Where $D$ is dividends or income received during the holding period. Suppose a stock is bought for $100$, sold for $125$, and pays $3$ in dividends. The capital gains yield is:

\[ CGY=\frac{125-100}{100}\times100=25\% \]

The total return is:

\[ \text{Total Return}=\frac{125-100+3}{100}\times100=28\% \]

The difference comes from the dividend income. This is why investors often look at both capital gains yield and total return.

Dividend yield and capital gains yield

Dividend yield measures income received relative to the purchase price or current price, depending on the context. Capital gains yield measures price change. For a simple holding-period return based on purchase price, dividend yield can be written as:

\[ \text{Dividend Yield}=\frac{D}{P_0}\times100 \]

Then total return can be expressed as:

\[ \text{Total Return}=CGY+\text{Dividend Yield} \]

Using $P_0=100$, $P_1=125$, and $D=3$:

\[ CGY=25\%,\qquad \text{Dividend Yield}=3\% \]

So:

\[ \text{Total Return}=25\%+3\%=28\% \]

This breakdown helps investors understand whether returns came from price appreciation, income, or both.

How to calculate final price from capital gains yield

If you know the purchase price and capital gains yield, you can solve for the final price. Start with:

\[ CGY=\frac{P_1-P_0}{P_0} \]

Rearrange the formula:

\[ P_1=P_0(1+CGY) \]

If $P_0=100$ and $CGY=25\%=0.25$, then:

\[ P_1=100(1+0.25) \]

So:

\[ P_1=125 \]

This formula is useful when you know the percentage price gain you want and need to find the target selling price. For example, if an investor wants a $15\%$ capital gain on a stock purchased at $80$, the target price is:

\[ P_1=80(1.15)=92 \]

How to calculate purchase price from capital gains yield

If you know the final price and capital gains yield, you can calculate the original purchase price. Start with:

\[ P_1=P_0(1+CGY) \]

Divide both sides by $1+CGY$:

\[ P_0=\frac{P_1}{1+CGY} \]

For example, if $P_1=150$ and $CGY=50\%=0.50$, then:

\[ P_0=\frac{150}{1.50}=100 \]

This means an asset now worth $150$ would have needed a purchase price of $100$ to produce a $50\%$ capital gains yield.

Negative capital gains yield

Capital gains yield can be negative. A negative value means the asset price declined. For example, if an asset is bought for $100$ and later sells for $80$, then:

\[ CGY=\frac{80-100}{100}\times100 \]

Calculate:

\[ CGY=\frac{-20}{100}\times100=-20\% \]

The capital gains yield is $-20\%$. This is also called a capital loss yield because the asset lost value. In investment analysis, negative capital gains yield matters because dividends may partially offset price losses. For example, if the asset lost $20\%$ in price but paid a $5\%$ dividend yield, the total return would be $-15\%$.

Capital gains yield in stocks

Capital gains yield is commonly used in stock analysis. If a stock price rises from $40$ to $50$, the price appreciation is $10$, and the capital gains yield is:

\[ \frac{50-40}{40}\times100=25\% \]

If the stock also pays dividends, the investor’s total return may be higher than $25\%$. However, the capital gains yield still isolates the return from price movement alone. This is useful because different stocks have different return profiles. Growth stocks may produce most of their return from price appreciation. Dividend stocks may produce a larger share of return from income.

When comparing stocks, capital gains yield can help answer: Did the investment perform because the price rose, or because it paid income? Both can matter, but they are not the same source of return.

Capital gains yield in real estate

Capital gains yield can also apply to real estate. If a property is purchased for $300{,}000$ and later sells for $390{,}000$, the capital gain is $90{,}000$, and the capital gains yield is:

\[ CGY=\frac{390{,}000-300{,}000}{300{,}000}\times100=30\% \]

However, real estate analysis often requires additional adjustments. Transaction costs, maintenance, taxes, financing, renovations, rental income, and selling fees can materially change the investor’s net return. The capital gains yield formula measures gross price appreciation relative to the original price. It does not automatically calculate net profit after costs.

For a clean educational calculation, capital gains yield is useful. For real investment decisions, it should be combined with cash flow analysis and cost adjustments.

Capital gains yield and investment multiple

The investment multiple compares the final price with the initial price:

\[ \text{Investment Multiple}=\frac{P_1}{P_0} \]

If $P_0=100$ and $P_1=125$, then:

\[ \frac{125}{100}=1.25 \]

The asset is worth $1.25\times$ the purchase price. Capital gains yield can be found from the multiple:

\[ CGY=(\text{Investment Multiple}-1)\times100 \]

Using the same multiple:

\[ CGY=(1.25-1)\times100=25\% \]

The investment multiple and capital gains yield are two ways of describing the same price movement. Multiples are common in private equity and venture investing, while yields are common in public market and finance education contexts.

Capital gains yield versus CAGR

Capital gains yield measures total price appreciation over the entire holding period. CAGR annualizes that growth across time. If an asset rises from $100$ to $125$, the capital gains yield is $25\%$. But if it took $5$ years, the annualized growth rate is not $25\%$ per year.

The CAGR formula is:

\[ CAGR=\left(\frac{P_1}{P_0}\right)^{1/t}-1 \]

For $P_0=100$, $P_1=125$, and $t=5$:

\[ CAGR=(1.25)^{1/5}-1\approx4.56\% \]

This distinction is important. Capital gains yield tells the total price gain. CAGR tells the smoothed yearly growth rate. A $25\%$ gain in one year is much stronger than a $25\%$ gain over ten years.

Capital gains yield and taxes

Capital gains yield is usually calculated before taxes. Actual after-tax return can be lower if capital gains taxes apply. A realized capital gain occurs when the asset is sold for more than its purchase price. In many tax systems, realized gains may be taxed differently depending on holding period, asset type, residency, and local law.

A simplified after-tax gain calculation is:

\[ \text{After-Tax Gain}=\text{Capital Gain}\times(1-\text{Tax Rate}) \]

Then an approximate after-tax capital gains yield is:

\[ \text{After-Tax CGY}=\frac{\text{After-Tax Gain}}{P_0}\times100 \]

This calculator does not estimate tax liability because tax rules vary by country, asset, and investor situation. Use it for the pre-tax finance calculation, then adjust separately if tax analysis is required.

Common mistakes when calculating capital gains yield

Using final price as the denominator. Capital gains yield uses the purchase price $P_0$ in the denominator.
Confusing capital gain amount with yield. A currency gain is not the same as a percentage yield.
Including dividends by accident. Capital gains yield excludes dividends; total return includes them.
Forgetting negative yields. If the ending price is lower than the purchase price, capital gains yield is negative.
Ignoring shares or units. Per-share yield is the same regardless of shares, but total gain depends on the number of units held.
Confusing CGY with CAGR. Capital gains yield is total price return, while CAGR is annualized growth.
Ignoring fees and taxes. Broker fees, spread costs, taxes, and transaction costs can reduce net return.

Capital gains yield formula summary table

Calculation	Formula	Use it when
Capital gains yield	$CGY=\frac{P_1-P_0}{P_0}\times100$	You know purchase price and current or selling price.
Capital gain amount	$P_1-P_0$	You want the per-unit price gain or loss.
Total capital gain	$(P_1-P_0)\times \text{units}$	You want total currency gain across shares or units.
Final price	$P_1=P_0(1+CGY)$	You know purchase price and target capital gains yield.
Purchase price	$P_0=\frac{P_1}{1+CGY}$	You know final price and capital gains yield.
Total return with dividends	$\frac{P_1-P_0+D}{P_0}\times100$	You want to include dividend or income payments.

Related calculators and study tools

Capital gains yield connects naturally to CAGR, annualized return, appreciation, APY, and percentage change. These related tools can help users continue learning finance and return calculations on NUM8ERS.

Update these internal links if your final NUM8ERS URL structure uses different calculator paths.

Capital Gains Yield Calculator FAQs

What is capital gains yield?

Capital gains yield is the percentage return caused by the increase or decrease in an asset’s price. It is calculated using $CGY=\frac{P_1-P_0}{P_0}\times100$.

What is the capital gains yield formula?

The formula is $CGY=\frac{P_1-P_0}{P_0}\times100$, where $P_0$ is the purchase price and $P_1$ is the current or selling price.

Does capital gains yield include dividends?

No. Capital gains yield only measures price change. To include dividends, use total return: $\frac{P_1-P_0+D}{P_0}\times100$.

Can capital gains yield be negative?

Yes. If the final price is lower than the purchase price, the capital gains yield is negative.

Is capital gains yield the same as CAGR?

No. Capital gains yield measures the total price return over the holding period. CAGR annualizes the growth rate over time.

How do you calculate total capital gain for multiple shares?

Use $(P_1-P_0)\times\text{units}$. The percentage yield is the same per share, but total gain increases with the number of shares or units held.

Calculation	Formula	Use it when
Capital gains yield	\(CGY=\frac{P_1-P_0}{P_0}\times100\)	You know purchase price and current or selling price.
Capital gain amount	\(P_1-P_0\)	You want the per-unit price gain or loss.
Total capital gain	\((P_1-P_0)\times \text{units}\)	You want total currency gain across shares or units.
Final price	\(P_1=P_0(1+CGY)\)	You know purchase price and target capital gains yield.
Purchase price	\(P_0=\frac{P_1}{1+CGY}\)	You know final price and capital gains yield.
Total return with dividends	\(\frac{P_1-P_0+D}{P_0}\times100\)	You want to include dividend or income payments.