What Is an Option?
Options Risk Metrics: The Greeks
Advantages and Disadvantages of Options
Example of an Option
How Do You Define Options?
Main Advantages of Options
Main Disadvantages of Options
What Is an Option?The term option refers to a financial instrument
that is based on the value of underlying securities such as stocks. An options contract offers the buyer the opportunity to buy or sell—depending on the type of contract they hold—the underlying asset. Unlike futures
, the holder is not required to buy or sell the asset if they decide against it. Each contract will have a specific expiration date by which the holder must exercise their option. The stated price on an option is known as the strike price. Options are typically bought and sold through online or retail brokers
- Options are financial derivatives that give buyers the right, but not the obligation, to buy or sell an underlying asset at an agreed-upon price and date.
- Call options and put options form the basis for a wide range of option strategies designed for hedging, income, or speculation.
- Although there are many opportunities to profit with options, investors should carefully weigh the risks.
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Options are versatile financial products. These contracts involve a buyer and seller, where the buyer pays a premium
for the rights granted by the contract. Call options
allow the holder to buy the asset at a stated price within a specific timeframe. Put options
, on the other hand, allow the holder to sell the asset at a stated price within a specific timeframe. Each call option has a bullish buyer and a bearish seller while put options have a bearish buyer and a bullish seller.2
and investors buy and sell options for several reasons. Options speculation
allows a trader to hold a leveraged position in an asset at a lower cost than buying shares of the asset. Investors use options to hedge
or reduce the risk exposure of their portfolios.
In some cases, the option holder can generate income
when they buy call options or become an options writer. Options are also one of the most direct ways to invest in oil
. For options traders
, an option's daily trading volume
and open interest
are the two key numbers to watch in order to make the most well-informed investment decisions.
can be exercised any time before the expiration date of the option, while European options
can only be exercised on the expiration date or the exercise date. Exercising means utilizing the right to buy or sell the underlying security.3
usually represent 100 shares of the underlying security. The buyer pays a premium fee for each contract.2
For example, if an option has a premium of 35 cents per contract, buying one option costs $35 ($0.35 x 100 = $35). The premium is partially based on the strike
price or the price for buying or selling the security until the expiration date.
Another factor in the premium price is the expiration date
. Just like with that carton of milk in the refrigerator, the expiration date indicates the day the option contract must be used. The underlying asset will determine the use-by date. For stocks, it is usually the third Friday of the contract's month.
Options spreads are strategies that use various combinations of buying and selling different options for the desired risk-return profile. Spreads are constructed using vanilla options
, and can take advantage of various scenarios such as high- or low-volatility environments, up- or down-moves, or anything in-between.
Options Risk Metrics: The Greeks The options market uses the term Greeks
to describe the different dimensions of risk involved in taking an options position, either in a particular option or a portfolio. These variables are called Greeks because they are typically associated with Greek symbols. Each risk variable is a result of an imperfect assumption or relationship of the option with another underlying variable. Traders use different Greek values to assess options risk
and manage option portfolios.4
(Δ) represents the rate of change
between the option's price and a $1 change in the underlying asset's
price. In other words, the price sensitivity of the option relative to the underlying. Delta of a call option
has a range between zero and one, while the delta of a put option
has a range between zero and negative one.5
For example, assume an investor is long a call option with a delta of 0.50. Therefore, if the underlying stock increases by $1, the option's price would theoretically increase by 50 cents.
Delta also represents the hedge ratio
for creating a delta-neutral
position for options traders.5
So if you purchase a standard American call option with a 0.40 delta, you need to sell 40 shares of stock to be fully hedged. Net delta for a portfolio of options can also be used to obtain the portfolio's hedge ratio.
(Θ) represents the rate of change between the option price and time, or time sensitivity - sometimes known as an option's time decay. Theta indicates the amount an option's price would decrease as the time to expiration
decreases, all else equal.6
For example, assume an investor is long an option with a theta of -0.50. The option's price would decrease by 50 cents every day that passes, all else being equal. If three trading days pass, the option's value would theoretically decrease by $1.50.
Theta increases when options are at-the-money, and decreases when options are in- and out-of-the money. Options closer to expiration also have accelerating time decay. Long calls and long puts usually have negative Theta. Short calls and short puts, on the other hand, have positive Theta. By comparison, an instrument whose value is not eroded by time, such as a stock, has zero Theta. Gamma
(Γ) represents the rate of change between an option's delta and the underlying asset's price. This is called second-order (second-derivative) price sensitivity. Gamma indicates the amount the delta would change given a $1 move in the underlying security.7
Let's assume an investor is long one call option on hypothetical stock XYZ. The call option has a delta of 0.50 and a gamma of 0.10. Therefore, if stock XYZ increases or decreases by $1, the call option's delta would increase or decrease by 0.10.
Gamma is used to determine the stability of an option's delta. Higher gamma values indicate that delta could change dramatically in response to even small movements in the underlying's price. Gamma is higher for options that are at-the-money
and lower for options that are in- and out-of-the-money, and accelerates in magnitude as expiration approaches.
Gamma values are generally smaller the further away from the date of expiration. This means that options with longer expirations are less sensitive to delta changes. As expiration approaches, gamma values are typically larger, as price changes have more impact on gamma. Options traders may opt to not only hedge delta but also gamma in order to be delta-gamma neutral
, meaning that as the underlying price moves, the delta will remain close to zero.
(V) represents the rate of change between an option's value and the underlying asset's implied volatility
. This is the option's sensitivity to volatility. Vega indicates the amount an option's price changes given a 1% change in implied volatility.8
For example, an option with a Vega of 0.10 indicates the option's value is expected to change by 10 cents if the implied volatility changes by 1%.
Because increased volatility implies that the underlying instrument is more likely to experience extreme values
, a rise in volatility correspondingly increases the value of an option. Conversely, a decrease in volatility negatively affects the value of the option. Vega is at its maximum for at-the-money options that have longer times until expiration.
Those familiar with the Greek language will point out that there is no actual Greek letter named vega. There are various theories about how this symbol, which resembles the Greek letter nu, found its way into stock-trading lingo.
(p) represents the rate of change between an option's value and a 1% change in the interest rate
. This measures sensitivity to the interest rate. For example, assume a call option has a rho of 0.05 and a price of $1.25. If interest rates rise by 1%, the value of the call option would increase to $1.30, all else being equal. The opposite is true for put options. Rho is greatest for at-the-money options with long times until expiration.
Some other Greeks, which aren't discussed as often, are lambda
, epsilon, vomma
, vera, speed, zomma
, color, ultima.
These Greeks are second- or third-derivatives of the pricing model and affect things like the change in delta with a change in volatility. They are increasingly used in options trading strategies as computer software can quickly compute and account for these complex and sometimes esoteric risk factors. Advantages and Disadvantages of OptionsBuying Call Options As mentioned earlier, call options
allow the holder to buy an underlying security at the stated strike price by the expiration date called the expiry. The holder has no obligation to buy the asset if they do not want to purchase the asset. The risk to the buyer is limited to the premium paid. Fluctuations of the underlying stock have no impact.
Buyers are bullish on a stock and believe the share price will rise above the strike price before the option expires. If the investor's bullish outlook is realized and the price increases above the strike price, the investor can exercise the option, buy the stock at the strike price, and immediately sell the stock at the current market price for a profit. Their profit on this trade is the market share price less the strike share price plus the expense of the option—the premium and any brokerage commission to place the orders. The result is multiplied by the number of option contracts purchased, then multiplied by 100—assuming each contract represents 100 shares
If the underlying stock price does not move above the strike price by the expiration date, the option expires worthlessly. The holder is not required to buy the shares but will lose the premium paid for the call.
Selling call options is known as writing a contract. The writer receives the premium fee. In other words, a buyer pays the premium to the writer (or seller) of an option. The maximum profit is the premium received when selling the option. An investor who sells a call option is bearish and believes the underlying stock's price will fall or remain relatively close to the option's strike price during the life of the option.
If the prevailing market share price is at or below the strike price by expiry, the option expires worthlessly for the call buyer. The option seller pockets the premium as their profit. The option is not exercised because the buyer would not buy the stock at the strike price higher than or equal to the prevailing market price
However, if the market share price is more than the strike price at expiry, the seller of the option must sell the shares to an option buyer at that lower strike price. In other words, the seller must either sell shares from their portfolio
holdings or buy the stock at the prevailing market price to sell to the call option buyer. The contract writer incurs a loss. How large of a loss depends on the cost basis of the shares they must use to cover the option order, plus any brokerage order expenses
, but less any premium they received.
As you can see, the risk to the call writers
is far greater than the risk exposure of call buyers. The call buyer only loses the premium. The writer faces infinite risk because the stock price could continue to rise increasing losses significantly.
are investments where the buyer believes the underlying stock's market price will fall below the strike price on or before the expiration date of the option. Once again, the holder can sell shares without the obligation to sell at the stated strike per share price by the stated date.
Since buyers of put options want the stock price to decrease, the put option is profitable when the underlying stock's price is below the strike price. If the prevailing market price is less than the strike price at expiry, the investor can exercise the put. They will sell shares at the option's higher strike price. Should they wish to replace their holding of these shares they may buy them on the open market. Their profit on this trade
is the strike price less the current market price, plus expenses—the premium and any brokerage commission to place the orders. The result would be multiplied by the number of option contracts purchased, then multiplied by 100—assuming each contract represents 100 shares.
The value of holding a put option will increase as the underlying stock price decreases. Conversely, the value of the put option declines as the stock price increases. The risk of buying put options is limited to the loss of the premium if the option expires worthlessly.
Selling put options is also known as writing a contract. A put option writer believes the underlying stock's price will stay the same or increase over the life of the option, making them bullish on the shares. Here, the option buyer has the right to make the seller, buy shares of the underlying asset at the strike price on expiry.
If the underlying stock's price closes above the strike price by the expiration date, the put option expires worthlessly. The writer's maximum profit is the premium. The option isn't exercised because the option buyer would not sell the stock at the lower strike share price when the market price is more. If the stock's market value falls below the option strike price, the writer is obligated to buy shares of the underlying stock at the strike price. In other words, the put option will be exercised by the option buyer who sells their shares at the strike price as it is higher than the stock's market value. The risk for the put option writer happens when the market's price falls below the strike price. The seller is forced to purchase shares at the strike price at expiration. The writer's loss can be significant depending on how much the shares depreciate. The writer (or seller) can either hold on to the shares and hope the stock price rises back above the purchase price or sell the shares and take the loss. Any loss is offset by the premium received. An investor may write put options at a strike price where they see the shares being a good value and would be willing to buy at that price. When the price falls and the buyer exercises their option, they get the stock at the price they want with the added benefit of receiving the option premium.
A call option buyer has the right to buy assets at a lower price than the market when the stock's price rises
The put option buyer profits by selling stock at the strike price when the market price is below the strike price
Option sellers receive a premium fee from the buyer for writing an option
The put option seller may have to buy the asset at the higher strike price than they would normally pay if the market falls
The call option writer faces infinite risk if the stock's price rises and are forced to buy shares at a high price
Option buyers must pay an upfront premium to the writers of the option
Suppose that Microsoft (MFST
) shares trade at $108 per share and you believe they will increase in value. You decide to buy a call option to benefit from an increase in the stock's price. You purchase one call option with a strike price of $115 for one month in the future for 37 cents per contact. Your total cash outlay is $37 for the position plus fees and commissions (0.37 x 100 = $37).
If the stock rises to $116, your option will be worth $1, since you could exercise the option to acquire the stock for $115 per share and immediately resell it for $116 per share. The profit on the option position would be 170.3% since you paid 37 cents and earned $1—that's much higher than the 7.4% increase in the underlying stock price from $108 to $116 at the time of expiry. In other words, the profit in dollar terms would be a net of 63 cents or $63 since one option contract represents 100 shares [($1 - 0.37) x 100 = $63]. If the stock fell to $100, your option would expire worthlessly, and you would be out $37 premium. The upside is that you didn't buy 100 shares at $108, which would have resulted in an $8 per share, or $800, total loss. As you can see, options can help limit your downside risk. How Do You Define Options?
Options are a type of derivative product that allow investors to speculate on or hedge against the volatility of an underlying stock. Options are divided into call options, which allow buyers to profit if the price of the stock increases, and put options, in which the buyer profits if the price of the stock declines. Investors can also go short an option by selling them to other investors. Shorting (or selling) a call option would therefore mean profiting if the underlying stock declines while selling a put option would mean profiting if the stock increases in value.
What Are the Main Advantages of Options?
Options can be very useful as a source of leverage and risk hedging. For example, a bullish investor who wishes to invest $1,000 in a company could potentially earn a far greater return by purchasing $1,000 worth of call options on that firm, as compared to buying $1,000 of that company’s shares.
In this sense, the call options provide the investor with a way to leverage their position by increasing their buying power.
On the other hand, if that same investor already has exposure to that same company and wants to reduce that exposure, they could hedge their risk by selling put options against that company.
What Are the Main Disadvantages of Options?
The main disadvantage of options contracts is that they are complex and difficult to price. This is why are considered an advanced investment vehicle, suitable only for experienced professional investors. In recent years, they have become increasingly popular among retail investors. Because of their capacity for outsized returns or losses, investors should make sure they fully understand the potential implications before entering in to any options positions. Failing to do so can lead to devastating losses.
Options Contract Definition
An options contract gives the holder the right to buy or sell an underlying security at a predetermined price, known as the strike price. more
Vanilla Option Definition
A vanilla option gives the holder the right to buy or sell an underlying asset at a predetermined price within a given time frame. more
What Is an Outright Option?
An outright option is an option that is bought or sold individually, and is not part of a multi-leg options trade. more
How a Put Works
A put option gives the holder the right to sell a certain amount of an underlying at a set price before the contract expires, but does not oblige him or her to do so. more
Pinning the Strike Definition
Pinning the strike is the tendency of an underlying security's price to close at the strike price of heavily traded options as the expiration date nears. more
Time Decay Definition
Time decay is a measure of the rate of decline in the value of an options contract due to the passage of time. more
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