Understanding Strangle in a Nut Shell

Understanding Strangle

Strangle ek option strategy hai jaha par trader position hold karta hai in both call option and put option at different strike price but same expiry date of the underlying asset.

Example to explain this better –

Nifty is trading at 7921, to set up a strangle we need to buy OTM Call and Put options. Do note, both the options should belong to the same expiry and same underlying. Also, the execution should happen in the same ratio (missed this point while discussing straddle).

The same ratio here means – one should buy the same number of call option as that of put option. For instance, it can be 1:1 ratio meaning 1 lot of call, 1 lot of put option. Or it can be 5:5, meaning buy 5 lots of call and 5 lots of put option. Something like 2:3 is not considered strangle (or straddle) as in this case, you would be buying 2 lots of call options and 3 lots of put options.

Going back to the example, considering Nifty is at 7921, we need to buy OTM Call and Put options. I’d prefer to buy strikes which are 200 points either way (note, there is no particular reason for choosing strikes 200 points away). So this would mean I would buy 7700 Put option and 8100 Call option. These options are trading at 28 and 32 respectively.

The combined premium paid to execute the ‘strangle’ is 60. Let’s figure out how the strategies behave under various scenarios. I’ll keep this discussion brief as I do believe you are now comfortable accessing the P&L across various market scenarios.

Scenario 1 – Market expires at 7500 (much below the PE strike)

At 7500, the premium paid for the call option i.e. 32 will go worthless. However, the put option will have an intrinsic value of 200 points. The premium paid for the Put option is 28, hence the total profit from the put option will be 200 – 28 = +172

We can further deduct for the premium paid for call option i.e. 32 from the profits of Put option and arrive at the overall profitability i.e. 172 – 32 = +140

Scenario 2 – Market expires at 7640 (lower breakeven)

At 7640, the 7700 put option will have an intrinsic value of 60. The put option’s intrinsic value offsets the combined premium paid towards both the call and put option i.e. 32+28 = 60. Hence at 7640, the strangle neither makes money nor losses money.

Scenario 3 – Market expires at 7700 (at PE strike)

At 7700, both the call and put options would expire worthless, hence we would lose the entire premium paid i.e. 32 + 28 = 60. Do note, this also happens to be the maximum loss the strategy would suffer.

Scenario 4 – Market expires at 7900, 8100 (ATM and CE strike respectively)

Both the options expire worthless at 7900 and 8100. Hence we would lose the entire premium paid i.e. 60.

Scenarios 5 – Market expires at 8160 (upper breakeven)

At 8160, the 8100 Call option has an intrinsic value of 60, the gains in the call option would offset the loss incurred against the premium paid towards the call and put options.

Scenarios 6 – Market expires at 8300 (much higher than the CE strike)

Clearly, at 8300, the 8100 call option would have an intrinsic value of 200 points; therefore the option would make 200 points. After adjusting for the combined premium paid of 60 points, we would be left with 140 points profit. Notice the symmetry of payoff above the upper and below the lower breakeven points.

 Here is a table which contains various other market expiry scenarios and the eventual payoff at these expiry levels –

We can plot the strategy the payoff to visualize the payoff diagram of the strangle –

We can generalize a few things about the ‘Strangle’ –

1.     The maximum loss is restricted to the net premium paid

2.     The loss would be maximum between the two strike prices

3.     Upper Breakeven point = CE strike + net premium paid

4.     Lower Breakeven point = PE strike – net premium paid

5.     Profit potentially is unlimited

So as long as the market moves (irrespective of the direction) the profits are expected to follow.

Short Strangle

The execution of a short strangle is the exact opposite of the long strangle. One needs to sell OTM Call and Put options which are equidistant from the ATM strike. In fact you would short the ‘strangle’ for the exact opposite reasons as to why you go long strangle. I will skip discussing the different expiry scenarios as I assume you are fairly comfortable with establishing the payoff by now.

I’ve used the same strikes (the one used in long strangle example) for the short strangle example. Instead of buying these options, you would sell these OTM options to set up a short strangle. Here is the payoff table of the short strangle –

As you can notice, the strategy results in a loss as and when the market moves in any particular direction. However, the strategy remains profitable between the lower and upper breakeven points. Recall –

o    Upper breakeven point is at 8160

o    Lower breakeven point is at 7640

o    Max profit is net premium received, which is 60 points

In other words you get to take home 60 points as long as the market stays within 7640 and 8160. In my opinion this is a fantastic proposition. More often than not market stays within certain trading ranges and therefore the market presents such beautiful trading opportunities.

So here is something for you to think about – identify stocks which are in a trading range, typically stocks in a trading range form double/triple tops and bottom. Setup the ‘strangle’ by writing strikes which are outside the upper and lower range. When you write strangles in this backdrop make sure you watch closely for breakouts or breakdowns.

Anyway, here is the payoff graph of the short strangle –

As you can notice –

1.     The payoff of the short strangle looks exactly opposite of the long strangle

2.     The profits are restricted to the extent of the net premium received

3.     The profits are maximum as long as the stock stays within the two strike prices

4.     The losses are potentially unlimited

The breakeven point calculation is the same as the breakeven points of a long strangle, which we have discussed earlier.

Delta and Vega

Both straddles and strangles are similar strategies, therefore the Greeks have a similar effect on strangle and straddles.

Since we are dealing with OTM options (remember we chose strikes that are equidistant from ATM), the delta of both CE and PE would be around 0.3, or lesser. We could add the deltas of each option and get a sense of how the overall position deltas behave.

o    7700 PE Delta @ – 0.3

o    8100 CE Delta @ + 0.3

o    Combined delta would be -0.3 + 0.3 = 0

Of course, I’ve just assumed 0.3 for both the options for convenience; however both the deltas could be slightly different, hence we could not be delta neutral in a strict sense. But then the deltas will certainly not be too high such that it renders a directional bias on the strategy. Anyway, the combined delta indicates that the strategy is directional neutral.

To summarize the effect of Greeks on strangles –

1.     The volatility should be relatively low at the time of strategy execution

2.     The volatility should increase during the holding period of the strategy

3.     The market should make a large move – the direction of the move does not matter

4.     The expected large move is time bound, should happen quickly – well within the expiry

5.     Long strangle is to be setup around major events, and the outcome of these events have to be drastically different from the general market expectation