Volatility and Option Pricing

Post on: 26 Апрель, 2015 No Comment

Volatility and Option Pricing

It’s importance when determining the price of options in the marketplace.

Should It Influence your stock buying decisions?

Volatility is the property of a stock that describes its tendency to undergo price changes. More volatile stocks undergo larger or more frequent price changes.

Outside the options world, volatility is described by the term beta. Beta is a measure of the relative volatility of a specific stock, when compared with the volatility of a large group of stocks (often the Standard & Poor’s 500 Index). A beta of 1.0 means the stock has the same volatility as the market as a whole. Stocks with beta values less than 1.0 are less volatile than the market, while stocks with beta values greater than 1.0 are more volatile. Beta is useful because it allows an investor to estimate the price movement of his/her stock, compared with the overall market.

When we deal with stock options, we must know the volatility of the stock as a stand alone item. Comparing its volatility to that of other stocks is of no use in determining how its options should be priced because options have specific strike prices and it’s important to calculate the chances that the stock will move beyond the strike price before the options expire. When measuring volatility of a specific stock, a statistical analysis is made using the real daily price changes for each stock. This volatility measurement is unrelated to beta, except that stocks with higher beta values have higher volatilities.

In the options world, volatility is measured as a percentage, and price changes are measured from one days closing price to the next. To put it into familiar terms, when a stock is described as having a volatility of 30 (Volatility = 0.30), it means the stock moves (either up or down) by 30% or less, approximately 2 years out of every 3. A move twice that size (60% in this example) occurs about once every 20 years.

For a more detailed explanation of Volatility and how you can use it to become a better option trader, see

There is more than one type of volatility. Historical Volatility is calculated by measuring the stock’s past price movements. When dealing with options, you want to know the volatility the stock is going to have from the time the option is purchased (or sold) until expiration. That volatility can never be known, because the time frame is the future. Thus, the best we can do is estimate that future volatility. That estimate is based upon more than the volatility history of the stock. It also takes into consideration any events that are known to be occurring during the lifetime of the option — events that have a chance to make an impact on the stock price. An example of such an event is the quarterly announcement of the company’s earnings. Also included in the volatility estimate is the general condition of the market. Sometimes markets are calm, and all volatility estimates are reduced. At other times, world events have an impact on stock prices and volatility estimates are raised. The term used to describe the estimated future volatility is forecast volatility. Sometimes it is simply referred to as estimated volatility.

When we look at option prices, we use a different term: implied volatility . Unlike other types of volatility, this is a property of the option (rather than of the stock). Implied volatility is the estimate, made by professional traders in the marketplace, of the future volatility of the stock. Another way to describe implied volatility is: it’s the volatility, that when substituted into the equation used to calculate theoretical values, makes the theoretical value equal to the actual price of the option in the marketplace.

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Volatility is of interest to options traders because it’s a vital factor in determining the market price of options. Option buyers make money when stocks undergo significant price changes (if the change is in the correct direction). Because volatile stocks are much more likely to undergo large price changes, option buyers pay a much higher premium for options of volatile stocks. As a result, the options of similarly priced stocks often have vastly different premiums.

As an example, let’s look at a stock priced at 50.

Consider a 6-month call option with a strike price of 50:

  • If the implied volatility is 90. the option price is $1250
  • If the implied volatility is 50. the option price is $725
  • If the implied volatility is 30. the option price is $450

These premiums are very different. The point for you to remember is you can receive a higher cash premium when you write call options, if the underlying stock is volatile.

Stock selection remains the most significant factor in the success or failure of your investment program. Options are instruments that enhance the performance of your portfolio, but stock selection is the key. If you adopt a covered call writing strategy, be aware that your potential profit is greater if you own more volatile stocks. WARNING: This is NOT a suggestion that you buy volatile stocks. It is just a statement to make you aware there is one additional factor you can take into consideration when making the decision on which stocks you want to own, and that factor is the volatility of the stock (or the price of the options you intend to sell). This article deals with stock volatility, so it is worth mentioning that volatility is not a factor that investors usually take into consideration when compiling a list of stocks they are considering for future purchase. We are suggesting you make it a minor factor. Less volatile stocks have the benefit of greater safety for the portfolio. More volatile stocks have the benefit of higher prices for the options you sell. It’s up to you, as the owner of the stocks in your portfolio, to make purchases that fit your comfort level. We don’t give advice on buying stocks, except for this: Buy stocks you want to own.

When trading options, you are going to be interested in the theoretical value of an option. Volatility is one of the factors used in the Black — Scholes option pricing model. A calculator that make does the work for you is provided here. A more detailed discussion of the theoretical value of an option is available

Of all the variables that go into the calculation of a theoretical value of an option, the volatility is not only the most important factor, but it is also the most difficult for the investor to determine, because the time frame is the future. We use historical data as a guide when making an estimate of future volatility.

Historical data is available online to help you estimate volatility, but remember no future volatility estimate is exact.

Where to find historical volatility data:

    • Lawrence McMillan offers stock volatility data at his option’s strategist site. The data offered are: volatility of the underlying stock for the past 20, 50 and 100 days, as well as the current implied volatility of the options.
      • CBOE. This site offers a downloadable file of volatility data on the VIX (volatility of the OEX 100 index). The daily changes in the VIX shows the recent trend in the direction of implied volatilities across the whole market. Implied volatilities do not often hold steady, but tend to gradually (sometimes violently) move either higher or lower.

        We offer the VIX data in graphical format here


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