abhishreshthaa
Abhijeet S
Introduction to Options
Options Greeks
Delta
Ceteris Paribus (stock price, risk free interest rate, strike price, time to expiry and volatility) -
Delta of an option indicates how much the premium will change for a unit change in the price
Delta
For an option with a delta of 0.50, the premium of option will change by 50 paise for a Re 1/- change in the price of stock
Delta is 0.50 for ATM options, as the option becomes ITM the value of delta increases and it decreases as the option becomes OTM
Delta
Delta indicates that OTM options are less sensitive to price change as compared to ATM and ITM options
Delta is positive for bullish positions (long futures, long call, short put) and negative for bearish positions (short futures, long put and short call)
Delta
Delta for call options varies from 0 to +1
Delta for put options varies from –1 to 0
Delta for long futures is +1
Delta for short futures is -1
Theta
Theta shows how much value the option will lose after one day with all the parameters remaining same
Theta is always negative (positive) for the buyer (seller) of options, as the value of option loses value each day if the anticipated view is not realized
Theta
Theta of one month Reliance 420 Call option is 1
Spot = 410
Call Premium = 15
Ceteris Paribus and one day passes, the value of RIL 420 call option will reduce by Re 1/-
Vega
Vega indicates how much the option premium will change for a unit change in volatility of the spot
Volatility increase is advantageous to the buyer of option (I.e vega is +ve) and disadvantageous to the seller (I.e. vega is –ve)
Vega
Vega of 1 month Reliance 420 Call option is 1, when volatility is 35
Spot = 410
Call Premium = 15
Ceteris Paribus and volatility moves to 36, call premium will increase to 16
Rho
Rho indicates the change in value of an option for 1 unit change in interest rate
Interest rates are almost constant over the expiry hence are considered insignificant
Gamma
Gamma indicates how much the delta changes for a unit change in the price of the underlying
When delta change is known, then it becomes easy in finding how much the next premium change will be for a unit change in the spot price, I.e it indicates the rate of change in premium
Gamma
Gamma = 0.01, Delta = 0.50, Spot = 100
Now when Spot increases to 101, the new delta will be 0.50 + 0.01 = 0.51
Rate of change in the premium has increased
Gamma
Gamma is positive for option buyers and negative for option sellers
Gamma is unimportant for long maturity options
For short maturity options gamma is high and option premium changes fast with spot changes
Options Greeks
Delta
Ceteris Paribus (stock price, risk free interest rate, strike price, time to expiry and volatility) -
Delta of an option indicates how much the premium will change for a unit change in the price
Delta
For an option with a delta of 0.50, the premium of option will change by 50 paise for a Re 1/- change in the price of stock
Delta is 0.50 for ATM options, as the option becomes ITM the value of delta increases and it decreases as the option becomes OTM
Delta
Delta indicates that OTM options are less sensitive to price change as compared to ATM and ITM options
Delta is positive for bullish positions (long futures, long call, short put) and negative for bearish positions (short futures, long put and short call)
Delta
Delta for call options varies from 0 to +1
Delta for put options varies from –1 to 0
Delta for long futures is +1
Delta for short futures is -1
Theta
Theta shows how much value the option will lose after one day with all the parameters remaining same
Theta is always negative (positive) for the buyer (seller) of options, as the value of option loses value each day if the anticipated view is not realized
Theta
Theta of one month Reliance 420 Call option is 1
Spot = 410
Call Premium = 15
Ceteris Paribus and one day passes, the value of RIL 420 call option will reduce by Re 1/-
Vega
Vega indicates how much the option premium will change for a unit change in volatility of the spot
Volatility increase is advantageous to the buyer of option (I.e vega is +ve) and disadvantageous to the seller (I.e. vega is –ve)
Vega
Vega of 1 month Reliance 420 Call option is 1, when volatility is 35
Spot = 410
Call Premium = 15
Ceteris Paribus and volatility moves to 36, call premium will increase to 16
Rho
Rho indicates the change in value of an option for 1 unit change in interest rate
Interest rates are almost constant over the expiry hence are considered insignificant
Gamma
Gamma indicates how much the delta changes for a unit change in the price of the underlying
When delta change is known, then it becomes easy in finding how much the next premium change will be for a unit change in the spot price, I.e it indicates the rate of change in premium
Gamma
Gamma = 0.01, Delta = 0.50, Spot = 100
Now when Spot increases to 101, the new delta will be 0.50 + 0.01 = 0.51
Rate of change in the premium has increased
Gamma
Gamma is positive for option buyers and negative for option sellers
Gamma is unimportant for long maturity options
For short maturity options gamma is high and option premium changes fast with spot changes