Egy opció belső értékének kiszámítása

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Calculating volatility Implied volatility Implied volatility is the presumable size of the market price movements, when the option premium is known. In an option valuation model when K indicates the strike price, S indicates the current stock price, T indicates the time until option expiration, and r indicates the risk-free egy opció belső értékének kiszámítása rate, the implied volatility is calculated when the theoretical equals the actual market premium.

The value of S stock price, K strike price, and T time is trivial. The size of the risk-free interest rate for T egy opció belső értékének kiszámítása is also obvious. Volatility is more complicated.

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When estimated from historical data, the results are largely influenced by the time horizon. Volatility can be considered constant only in short term. When an option is traded on the market, then from the known premium one can calculate what value of volatility would make the theoretical and the market premium equal with the help of the Black-Scholes model.

Opciós ügylet

This is called statistical or historical volatility. An investor would like to calculate the implied volatility of a Egy opció belső értékének kiszámítása strike price. The premium is 6. The underlying costs Then he gets the theoretical premium value. The market expects the price to change that much. Market analysts execute these calculations for every option in a given class, then weight the strike prices with the size of the volume.

Értékpapírszámtan modul - tematika

This way, the implied volatility for the whole option class can be measured. There is no universal formula to calculate implied volatility.

egy opció belső értékének kiszámítása

The Black-Scholes model is not a perfect solution to solve this problem. The implied volatility can be calculated as shown in the example or with the assistance of sophisticated software. In the contrary, historical volatility shows volatility for a past period, thus it must be used carefully to assess future volatility. It is difficult to calculate volatility manually, but with Microsoft Excel the calculation can be solved within seconds.

At first it may be hard to decide whether to focus on implied or historical volatility. Usually the implied volatility is calculated, because it is based on the consensus of market participants.

egy opció belső értékének kiszámítása

Obviously, they can be wrong. When that happens, opportunities for free profit can emerge.

1. Az opció belső értéke

Experienced traders usually follow the changed in historical volatility as well, especially when its value differs greatly from the implied volatility. Many think it is a sign.

When the implied volatility is above historical volatility, they sell options, and buy option when the implied volatility is below the statistical. The divergence between the two volatilities should be assessed every time, because it is not always clear which one has the higher and which one has the lower value.

There is a solid reason when the market pays more for implied volatility than the size of the historical volatility would justify. To conclude, implied volatility is the key to earn profits regularly on the market.

Interjú Jaime Luqueval, az ESCP Business School professzorával

Implied volatility is a calculated value, which concerns only the option, not the underlying. To use it in practice, it is crucial to calculate the rate of the volatility. When implied volatility is higher than historical volatility, then the rate is high and the option is overpriced.

When implied volatility returns to the normal level, the price of the option will decrease as well.

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When the option has a high implied volatility it is overpricedand the price of the underlying decreases, the value of the Put option will also decrease. When everyone expects the prices to grow, the market participants can easily make the options overpriced. To avoid this, one should first find an underlying with the help of the chart analysis which is expected to have price changes.

egy opció belső értékének kiszámítása

Then the direction of the expected price change should be determined. After that it should be evaluated how the market has priced the option fair, under- or overpriced. Avoid buying overpriced and selling under-priced options, as it will only result losses. One should try selling overpriced and buying under-priced options.


Time decay will be negligible when buying under-priced options which are farther from the expiry date. When selling options, it should be overpriced and close to the expiry day.

It makes the decay larger and the investor can receive the option premium.

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