Sorry, I am not able to reply to queries on time.
As for your query,
beta is used for comparing security with another group of securities.
it can be explained as the ratio of returns (or volatility) of a stock compared to the returns (or volatility) of a group of stocks (or entire market).
e.g.
if a stock A has a beta of 1.5 compared to an index I, A is likely to move 1.5% every time the market moves 1%. beta of stocks vary with both time and change in prices of the stocks.
Suppose a stock A has a beta of 1.5 compared to an index I. If the index goes down 70%, the stock will not go down 105%. beta is applicable for a particular price of a stock.
If a stock has beta of 1.5 at price of 100, you can assume that its beta will be around 1.5 for prices close to 100 (lets say 90-110).
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delta is the ratio is rate of change of price of an option to the change in price of the underlying.
It is always less than 1 (or 100% when expressed in percentage).
I have explained a few basics of options in this thread -
Options - How to track and have the knowledge
delta moves towards 1 as an option goes deeper in-the-money.
delta moves towards 0 as an option goes more and more out-of-money.
delta of at-the-money is near 0.5.
e.g a stock is at Rs 100, then the change of price of Rs 100 call (or Rs 100 put) will be Rs 0.5 for every Rs 1 move in price of the underlying stock.
If stock moves to Rs 101, the price Rs 100 call will increase by around Rs 0.5 and price of Rs 100 put will decrease by around Rs 0.5.
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gamma is the rate of change of delta compared to price of the stock.
gamma is maximum for at-the-money options. This means
at-the-money option prices have maximum sensitivity to prices of the underlying security.
gamma is more for options which are closer to expiry.
then there are other Greeks as well:
theta is the rate of change of option value w.r.t. time.
vega or kappa or lambda is the rate of change of option value w.r.t. volatility of the underlying security.
rho is the rate of change of option value w.r.t. interest rates.
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I will have to explain delta, gamma and theta better. I will make a separate thread for these in a day or two.
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Which graphs are you asking about?