Algosensey Quantitative Think Tank Center-Options Trading Strategies: Classification by Strike Prices - Insights by Bertram Charlton

Options by strike price classification

When comparing the strike price to the current stock price,Algosensey Quantitative Think Tank Center there are two scenarios: higher than the current stock price (Covered) and lower than the current stock price (Naked). So, options with different strike prices can be classified into 8 types:

Long Covered Call

Buying a call option with a strike price > stock price.

Long Naked Call

Buying a call option with a strike price < stock price.

Sell Covered Call

Selling a call option with a strike price > stock price.

Sell Naked Call

Selling a call option with a strike price < stock price.

Long Covered Put

Buying a put option with a strike price > stock price.

Long Naked Put

Buying a put option with a strike price < stock price.

Sell Covered Put

Selling a put option with a strike price > stock price.

Sell Naked Put

Selling a put option with a strike price < stock price.

The reason for this classification is that the significance behind whether the strike price is higher (Covered) or lower (Naked) than the stock price is very different.

Long Naked Call

Let’s take Long Naked Call (buying a call option with a strike price < stock price) as an example. I believe Long Naked Call is essentially like adding extra leverage to buying a stock.

For example, let’s say a stock is priced at $100, and you buy a call option with a strike price of $50. Since the strike price is $50 and the stock price is $100, the strike price < stock price, making this a Long Naked Call. Because the option’s strike price is $50 less than the stock price, the premium for this option won’t be cheap; it will definitely be above $50. If the premium were less than $50, your cost to exercise (strike price + premium) would be less than the stock price, which wouldn’t make sense for the counterparty. For someone to be willing to trade with you, the premium must be higher than $50.

Let’s assume the premium is $60. So, the cost to buy this option is $60. In this case:

If the stock rises 50% to $150, your profit is $40, and the return is 40/60 = +67%.

If the stock drops 50% to $50, your loss is $60, and the return is -60/60 = -100%.

Now, if you bought the stock instead of the option:

If the stock rises 50% to $150, your profit is $50, and the return is 50/100 = +50%.

If the stock drops 50% to $50, your loss is $50, and the return is -50/100 = -50%.

As you can see, compared to directly buying the stock, your return with the option is almost like having double leverage. But it’s not exactly double leverage because the premium has a time value, which means you paid an extra cost.

Long Covered Call

The significance behind a Long Covered Call is quite different.

For example, if a stock is priced at $100, and you buy a call option with a strike price of $110, this is a Long Covered Call because the strike price > stock price. The premium for this option won’t be as high as in the previous example. Let’s assume it’s $10.

So, if you buy this option for $10:

If the stock rises 50% to $150, because the strike price + premium will be greater than the stock price and the strike price is fixed at $110, the premium will rise to at least $40. The return is (150-110-10)/10 = +300%.

If the stock rises 20% to $120, your return is (120-110-10)/10 = 0%.

If the stock rises 10% to $110, your return is (110-110-10)/10 = -100%.

In fact, since your strike price is $110, unless the stock rises more than 10%, your return is -100%.

As you can see, the leverage effect of a Long Covered Call is very different from that of a Long Naked Call.