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Chapter 37: How Volah'lity Affects Popular Strategies 763
all, but the longer the life of the option, the more the other factors influence the
"excess value."
The five factors influencing excess value are:
1. stock price movements,
2. changes in implied volatility,
3. the passage of time,
4. changes in the dividend (if any exist), and
5. changes in interest rates.
Each is stated in terms of a movement or change; that is, these are not static
things. In fact, to measure them one uses the "greeks": delta, vega, theta, (there is no
"greek" for dividend change), and rho. Typically, the effect of a change in dividend or
a change in interest rate is small (although a large dividend change or an interest rate
change on a very long-term option can produce visible changes in the prices of
options).
If everything remains static, then time decay will eventually wipe out all of the
excess value of an option. That's why it's called time value premium. But things don't
ever remain static, and on a daily basis, time decay is small, so it is the remaining two
factors that are most important.
Example: XYZ is trading at 82 in late November. The January 80 call is trading at 8.
Thus, the intrinsic value is 2 (82 minus 80) and the excess value is 6 (8 minus 2). If
the stock is still at 82 at January expiration, the option will of course only be worth 2,
and one will say that the 6 points of excess value that was lost was due to time decay.
But on that day in late November, the other factors are much more dominant.
On this particular day, the implied volatility of this option is just over 50%. One
can determine that the call's greeks are:
Delta: 0.60
Vega: 0.13
Theta: -0.06
This means, for example, that time decay is only 6 cents per day. It would
increase as time went by, but even with a day or so to go, theta would not increase
above about 20 cents unless volatility increased or the stock moved closer to the
strike price.
From the above figures, one can see - and this should be intuitively appealing that
the biggest factor influencing the price of the option is stock price movement (delta).