How to Calculate Holding Period Return for A Put Option

Calculating the holding period return for a put option is essential for options traders and investors to evaluate the performance of their positions. This metric helps determine whether a put option position was profitable or not during the holding period. In this guide, we'll explain what holding period return is, how to calculate it for a put option, and provide an interactive calculator to perform the calculation.

What is Holding Period Return?

The holding period return (HPR) measures the total return of an investment over a specific period, including both capital gains and dividends. For options, it specifically refers to the return generated from a put option position during the time it was held.

For put options, the holding period return can be calculated by considering the premium received, the exercise price, and the stock price at expiration. A positive HPR indicates a profitable position, while a negative HPR indicates a loss.

How to Calculate Holding Period Return

The basic formula for holding period return is:

HPR = [(Final Stock Price - Exercise Price) / Exercise Price] × 100

For put options, the calculation is slightly different because you're selling the right to buy the stock at a specific price. The formula becomes:

HPR = [(Exercise Price - Final Stock Price) / Exercise Price] × 100

Where:

Exercise Price - The strike price of the put option
Final Stock Price - The price of the underlying stock at expiration

This formula calculates the percentage return on the investment in the put option position.

Put Option Specifics

When calculating the holding period return for a put option, consider these key factors:

Premium Received - The amount paid to purchase the put option
Exercise Price - The strike price of the put option
Final Stock Price - The stock price at expiration
Dividends - Any dividends paid during the holding period

For a put option, the maximum potential return occurs when the stock price falls to zero, but in practice, the return is limited by the exercise price.

Example Calculation

Let's say you bought a put option with an exercise price of $50 and received a premium of $2. The stock price at expiration was $45.

Using the formula:

HPR = [(50 - 45) / 50] × 100 = 10%

This means your put option position had a 10% holding period return.

Note: This example assumes no dividends were received during the holding period. If dividends were received, they would need to be included in the calculation.

Interpreting the Result

The holding period return for a put option can be interpreted as follows:

Positive HPR - The put option position was profitable
Negative HPR - The put option position was unprofitable
Zero HPR - The put option position broke even

Keep in mind that the holding period return does not account for the time value of money or the cost of carrying the position. It's a simple measure of the percentage return on the investment in the put option.

FAQ

What is the difference between holding period return and annualized return?

Holding period return measures the total return over a specific period, while annualized return adjusts that return to an annualized rate. Annualized return is useful for comparing investments of different durations.

How do dividends affect the holding period return of a put option?

Dividends received during the holding period should be included in the calculation as they represent additional income from the investment. The formula would need to be adjusted to account for the dividends received.

Can the holding period return be negative for a put option?

Yes, if the stock price at expiration is higher than the exercise price, the holding period return will be negative, indicating a loss on the put option position.