# Short Call

An options strategy where an investor writes (sells) a call option on a stock because he expects that stock's price to decrease in the future

## What is a Short Call?

A short call is an options strategy where an investor writes (sells) a call option on a stock because he expects that stock’s price to decrease in the future.

### Understanding the Short Call Strategy

The short call strategy creates a contract between the option writer (seller) and the option buyer (holder). The contract provides the holder with the right to buy the underlying asset for a pre-specified price (strike price) by a pre-specified date (expiration date). However, no obligation is created for the holder, who is not forced to buy the underlying asset (exercising the option) by the expiration date.

If the stock price of the underlying asset is greater than the strike price at the expiration date, the holder will exercise his option. This obligates the writer to sell the asset to the buyer at the pre-specified price, which will be at a price below the market price. This results in a loss for the writer and an equivalent profit for the holder (net of the price paid by the holder and received by the writer for the call option).

If the stock price of the underlying asset is lower than or equal to the strike price at the expiration date, the holder will not exercise his option. It will expire as worthless. It results in a profit for the writer and an equivalent loss for the holder (equal to the price received by the writer and paid by the holder for the call option).

### Profits from Short Calls

The writer of the call option receives a fee (premium) for selling the call option. It is the only profit the writer can receive from the transaction.

Assume that:

• p = Profit
• K = Strike price
• S = Stock price
• c = Call price

If the underlying asset’s price is lower than or equal to the strike price at the expiration date, the holder does not exercise his option. The writer’s profit is equal to the price he received for selling the call option.

If S ≤ K, p = c

If the underlying asset’s price is greater than the strike price at the expiration date, the holder will exercise his option. The writer’s loss is equal to the loss he assumes because of the difference between the stock price and the strike price, net of the price received for selling the call option.

If S > K, p = – (S – K) + c

The main advantage of a short call strategy is its flexibility. An investor may set the strike price of the call option as high as he wishes, increasing the probability that the holder will not exercise the option.

• The maximum profit of the strategy is limited to the price received for selling the call option.
• The maximum loss is unlimited because the price of the underlying stock may rise indefinitely.

The short call strategy can be thought of as involving unlimited risk, with only a limited potential for reward. The fact is especially true since most stocks increase in value over the long term.

To avoid some of the risks associated with short calls, an investor may choose to employ a strategy known as the covered call. The covered call strategy involves the investor owning the underlying stock for which he is writing a call option.

Assume that:

• p = Profit
• K = Strike price
• c = Call price
• S0 = Stock price when investor buys the stock
• ST = Stock price at expiration date
• A = Maximum loss = –S0 + c
• B = Maximum profit = –S0 + k + c

The investor limits his possible losses, as he will simply have to give up his shares at the strike price when the holder exercises his option. Note that the combined position is essentially a short put.