I think that the fact that you are in a spread position, the effects of vega and delta are partially offset to an extent. To flesh this out I did an experiment using Black-Scholes and the SPX.
Assumptions:
SPX @ 1215
Put Spread 1160/1170
IV at 13.01%
November Expiration - 49 Days
Using B-S, the spread value for 1160/1170 would be $1.90.
Now focusing on IV, I assumed IV increases of 30% and 50%, keeping all other factors constant including time and index value.
30% Increase in IV to 16.91% = $2.50 Spread Value
Result is 32% increase in Spread Value
50% Increase in IV to 19.51% = $2.85 Spread Value
Result is 50% increase in Spread Value
Now focusing only on delta/gamma I assumed index moves to 1185 and kept time and IV constant.
Index at 1185 = $3.60 Spread Value
Result is 89% increase in Spread Value
Now to factor in how IV would also affect such a move, I assumed index again at 1185 but increased IV 30% and 50%:
Index 1185, IV @ 16.91% = Spread Value of $4.00
Result is that IV increased spread value 11% over delta change and 110% over original Spread Value.
Index 1185, IV @ 19.51% = Spread Value of $4.10
Result is that IV increased spread value 14% over delta change and 116% over original Spread Value.
SO what are my conclusions from this experiment?
1. All things kept constant, increases in IV does have a negative effect on the value of your credit spread. But this makes sense since if all things are constant a change in IV would have to affect your spread. However if IV increased over time and all other things were constant, theta would slightly reduce the effects of IV increases. If the index moved away from your short strike and IV icnreased, then theta and delta would offset vega. Nonetheless it is a risk factor to consider.
2. If the index moves against you and all other things are constant, the effects on your spread from delta seem more significant on average than changes in IV. However if time were factored in theta would chip off some of the delta effects but only slightly.
3. If the index moves against you AND IV increases 30% or 50%, the negative effects of delta/gamma greatly outweight the effects of vega on the value of your spread. Delta alone cause the spread to increase dramatically in value. When a simultaneous increase in IV was factored in, the increase in the price of the spread was minimal compared to the delta effect.
3. Vega and Delta are both individual risk factors in selling credit spreads. Delta is more dangerous since delta comes with a negative move against you which is what could lead to losses shoudl the index move past your short strike. IV increases alone result in a paper loss but are not significant if the index is flat or moves away from your short strikes since delta and theta combine in your favor. In the case where the index moves against you and IV also increases, the most damage will come from the delta change of your spread then the vega change of your spread.
4. Delta is the greatest risk factor because of the potential for the short strike to be ITM. Therefore, risk management decisions should focus on reducing the liklihood of short strikes being ATM or ITM. This includes, rolling short strikes down to obtain more distance to allow your short strike to remain OTM, adding long deltas in the form of SPYs, SPX longs, E-mini futures, and related products at the appropriate time, or combining long and short spreads in some fashion to reduce the net deltas.
Hope this helps in examining further the risks of OTM credit spreads.
Phil
Assumptions:
SPX @ 1215
Put Spread 1160/1170
IV at 13.01%
November Expiration - 49 Days
Using B-S, the spread value for 1160/1170 would be $1.90.
Now focusing on IV, I assumed IV increases of 30% and 50%, keeping all other factors constant including time and index value.
30% Increase in IV to 16.91% = $2.50 Spread Value
Result is 32% increase in Spread Value
50% Increase in IV to 19.51% = $2.85 Spread Value
Result is 50% increase in Spread Value
Now focusing only on delta/gamma I assumed index moves to 1185 and kept time and IV constant.
Index at 1185 = $3.60 Spread Value
Result is 89% increase in Spread Value
Now to factor in how IV would also affect such a move, I assumed index again at 1185 but increased IV 30% and 50%:
Index 1185, IV @ 16.91% = Spread Value of $4.00
Result is that IV increased spread value 11% over delta change and 110% over original Spread Value.
Index 1185, IV @ 19.51% = Spread Value of $4.10
Result is that IV increased spread value 14% over delta change and 116% over original Spread Value.
SO what are my conclusions from this experiment?
1. All things kept constant, increases in IV does have a negative effect on the value of your credit spread. But this makes sense since if all things are constant a change in IV would have to affect your spread. However if IV increased over time and all other things were constant, theta would slightly reduce the effects of IV increases. If the index moved away from your short strike and IV icnreased, then theta and delta would offset vega. Nonetheless it is a risk factor to consider.
2. If the index moves against you and all other things are constant, the effects on your spread from delta seem more significant on average than changes in IV. However if time were factored in theta would chip off some of the delta effects but only slightly.
3. If the index moves against you AND IV increases 30% or 50%, the negative effects of delta/gamma greatly outweight the effects of vega on the value of your spread. Delta alone cause the spread to increase dramatically in value. When a simultaneous increase in IV was factored in, the increase in the price of the spread was minimal compared to the delta effect.
3. Vega and Delta are both individual risk factors in selling credit spreads. Delta is more dangerous since delta comes with a negative move against you which is what could lead to losses shoudl the index move past your short strike. IV increases alone result in a paper loss but are not significant if the index is flat or moves away from your short strikes since delta and theta combine in your favor. In the case where the index moves against you and IV also increases, the most damage will come from the delta change of your spread then the vega change of your spread.
4. Delta is the greatest risk factor because of the potential for the short strike to be ITM. Therefore, risk management decisions should focus on reducing the liklihood of short strikes being ATM or ITM. This includes, rolling short strikes down to obtain more distance to allow your short strike to remain OTM, adding long deltas in the form of SPYs, SPX longs, E-mini futures, and related products at the appropriate time, or combining long and short spreads in some fashion to reduce the net deltas.
Hope this helps in examining further the risks of OTM credit spreads.
Phil