Introduction to Derivatives (Options and Futures)
From the maf151 curriculum
TL;DR
Derivatives are financial contracts whose value is derived from an underlying asset, like a stock or commodity. Options give you the right (but not obligation) to buy or sell an asset, while futures obligate you to buy or sell it. They're used for managing risk or speculating on future price movements.
1. The Mental Model
Think of derivatives as side bets or insurance policies on something else. You're not buying the "thing" itself directly, but a contract related to its future price. This contract's value changes as the underlying asset's price changes.
2. The Core Material
Derivatives are financial instruments that get their value from an underlying asset. This underlying asset can be almost anything: a stock, a commodity (like oil or gold), an interest rate, or even a currency.
The two main types of derivatives we'll look at are options and futures.
Options
An option gives the buyer the right, but not the obligation, to buy or sell an underlying asset at a specified price (called the strike price) on or before a certain date (the expiration date).
There are two main types of options:
* Call Option: Gives the holder the right to buy the underlying asset. You'd buy a call if you expect the price of the asset to go up.
* Put Option: Gives the holder the right to sell the underlying asset. You'd buy a put if you expect the price of the asset to go down.
The seller of an option is called the writer. The buyer pays a premium (a fee) to the writer for this right. If the buyer doesn't exercise the option, they lose only the premium. The writer keeps the premium.
Futures
A futures contract is an agreement between two parties to buy or sell an asset at a predetermined price on a specified future date. Unlike options, futures are an obligation for both parties. The buyer is obligated to buy, and the seller is obligated to sell.
Futures are standardized and traded on exchanges. They're often used by producers and consumers of commodities to lock in prices and reduce risk, or by speculators betting on price movements.
Here's a quick comparison:
graph LR
A["Derivative Contract"] --> B["Options"]
A --> C["Futures"]
B --> D["Call Option"]
B --> E["Put Option"]
C --> F["Obligation to Buy/Sell"]
D --"Right to buy"--> G["Underlying Asset"]
E --"Right to sell"--> G
F --"Obligation to buy/sell"--> G
subgraph Key Differences
D --"Holder has RIGHT"--> H["Flexibility"]
F --"Holder has OBLIGATION"--> I["Commitment"]
H --> J["Loss limited to Premium"]
I --> K["Unlimited Potential Loss/Gain"]
end
Key Terms to Remember:

Photo by Markus Winkler on Pexels
- Underlying Asset: The asset on which the derivative contract is based (e.g., Apple stock, crude oil).
- Strike Price (Options): The predetermined price at which the underlying asset can be bought or sold.
- Expiration Date: The date on which the option contract expires or the future contract settles.
- Premium (Options): The price paid by the option buyer to the option seller for the right.
3. Worked Example
Let's say it's January, and you think Company X's stock, currently trading at \$100, will go up significantly by March because of an upcoming product launch.
Using an Option:
You decide to buy a call option on Company X stock. Let's say this call option has a strike price of \$105 and an expiration date in March. The premium for this option is \$5 per share. Since options contracts are usually for 100 shares, you'd pay \$500 (100 shares * \$5 premium).
- Scenario 1: Stock price goes up. In March, Company X's stock is at \$120. You can exercise your option, buying 100 shares at \$105 each, even though they're worth \$120 in the market.
- Your profit per share: \$120 (market price) - \$105 (strike price) = \$15.
- Total profit: (\$15 * 100 shares) - \$500 (premium paid) = \$1500 - \$500 = \$1000.
- Scenario 2: Stock price stays below strike price. In March, Company X's stock is at \$102. Exercising the option to buy at \$105 wouldn't make sense since you can buy it cheaper in the market. You let the option expire.
- Your loss: The \$500 premium you paid. This is your maximum loss.
Using a Futures Contract:
You believe crude oil prices will increase. You enter into a futures contract to buy 1,000 barrels of crude oil at \$70 per barrel, to be delivered in three months.
- Scenario 1: Oil price goes up. In three months, the price of crude oil is \$80 per barrel. You are obligated to buy at \$70, but you can immediately sell at \$80.
- Your profit: (\$80 - \$70) * 1,000 barrels = \$10,000.
- Scenario 2: Oil price goes down. In three months, the price of crude oil is \$60 per barrel. You are still obligated to buy at \$70, even though it's worth only \$60.
- Your loss: (\$70 - \$60) * 1,000 barrels = \$10,000.
Notice with futures, your potential loss (and gain) is much larger and not limited to an initial premium.
- Your loss: (\$70 - \$60) * 1,000 barrels = \$10,000.
4. Key Takeaways
- Derivatives are contracts whose value depends on an underlying asset, not the asset itself.
- Options give the right (not obligation) to buy (call) or sell (put) at a set price.
- Futures create an obligation to buy or sell an asset at a set price on a future date.
- Options involve paying a premium, which is the maximum loss for the buyer.
- Futures don't involve an upfront premium but carry potentially unlimited gains or losses.
- Both are used for risk management (hedging) or speculation.
Common Mistakes to Avoid:
* Confusing the "right" of an option with the "obligation" of a future.
* Thinking you own the underlying asset when you buy a derivative contract.
* Underestimating the potential losses in futures contracts.
* Ignoring the time decay of options as they approach expiration.
5. Now Try It
Imagine you own 100 shares of Company Y stock, currently trading at \
Frequently asked about Introduction to Derivatives (Options and Futures)
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