Index Options & Cash Settlement

🔑 The two key differences from equity options

What index options are

• Index options derive their value from fluctuations in a specific index’s value.
• Example: an S&P 500 index option that may provide a return if the index value falls, stays flat, or rises.
• Uses of index options:
  • Speculate on general market movements
  • Generate additional income
  • Protect entire portfolios from market risk
• Instead of investing based on changes in a single stock’s price, index option investors take a position on changes in an index’s value.

Indices most likely to appear on the exam

• Indices provide a “high-level” view of the market. The Dow Jones and the S&P 500 are commonly used to gauge U.S. market performance. Different indices highlight different parts of the market.
• 📌 Example: if the Russell 2000 is down but the S&P 100 is up, that suggests small-cap stocks are having a rough day while large-cap stocks are doing well.

Worked example 1 — Long 1 SPX 4500 call at $20

Position: Long 1 SPX 4500 call at $20

Find: Maximum gain, Maximum loss, Breakeven, Gain or loss at 4,550, Gain or loss at 4,450

Maximum gain = unlimited Just like a regular equity option, long calls have unlimited gain potential. The investor has the right to buy at 4,500. The further the S&P 500 index rises above 4,500, the more the investor makes.

Maximum loss = $2,000 (premium) If the S&P 500 index is below 4,500 at expiration, the option is “out of the money” and will expire worthless. The worst-case outcome for an option holder is losing the premium paid. A $20 premium equals $2,000 ($20 x 100 multiple).

Breakeven = 4,520 (strike + premium) If the S&P 500 index rises to 4,520, the contract is “in the money” by $20. When the holder exercises, the writer must deliver the intrinsic value in cash. With the option $20 “in the money,” the writer must deliver $2,000 ($20 x 100 multiple), which offsets the original $2,000 premium paid.

Gain or loss at 4,550 = $3,000 gain At 4,550, the contract is “in the money” by $50. At exercise, the writer must deliver $5,000 ($50 x 100 multiple) to the holder. The holder paid $2,000 upfront to buy the option, so the net result is a $3,000 profit.

Gain or loss at 4,450 = $2,000 loss At 4,450, the contract is “out of the money” and expires worthless. The holder loses the $2,000 premium ($20 x 100 multiple), which is the maximum loss.

• 📌 Index options aren’t much different from equity options. You can use the same formulas from the long calls chapter to answer these questions.

Worked example 2 — Short 1 RUT 2000 put @ $15

Position: Short 1 RUT 2000 put @ $15

Find: Maximum gain, Maximum loss, Breakeven, Gain or loss at 2,040, Gain or loss at 1,960

Maximum gain = $1,500 (premium) The maximum gain on any short option is the premium received. Short puts are bullish, and the investor wants the RUT to stay above 2,000. If that happens, the option is “out of the money,” expires worthless, and the investor keeps the $1,500 ($15 x 100) premium as profit.

Maximum loss = $198,500 (strike - premium) Short puts lose more as the market falls. If the RUT goes below 2,000, the contract goes “in the money” (it gains intrinsic value). Theoretically, the index could fall to zero, although this will probably never happen (all 2,000 businesses in the Russell 2000 index would have to go out of business). A short put’s maximum loss is calculated by subtracting the premium from the strike price (2,000 - 15). At zero, the option would be “in the money” by $1,985, resulting in an overall loss of $198,500 ($1,985 x 100).

Breakeven = 1,985 (strike - premium) If the RUT falls to 1,985, the contract is “in the money” by $15. The holder (the long side) would exercise, forcing the investor to deliver the intrinsic value in cash. With intrinsic value of $15, the investor must deliver $1,500 ($15 x 100) to the holder. That $1,500 loss offsets the $1,500 premium received when the option was sold.

Gain or loss at 2,040 = $1,500 gain At 2,040, the contract is “out of the money” and will expire worthless. The investor keeps the $15 premium, for an overall gain of $1,500 ($15 x 100).

Gain or loss at 1,960 = $2,500 loss At 1,960, the contract is “in the money” by $40. When assigned (exercised), the writer must deliver $4,000 ($40 x 100) to the holder. The writer received $1,500 upfront, which reduces the overall loss to $2,500.

• 📌 The fundamentals of options still apply. You can use the same formulas from the short put chapter for this scenario.

🔑 Formulas used in these examples

Hedging market risk with index options

• Investors commonly use index options to hedge against market risk, a type of systematic risk.

Definitions

• If you had money invested during the initial outbreak of COVID-19 (Coronavirus), you saw market risk in action. In March 2020 alone, the S&P 500 lost over 12%. A 12% decline over a full year is bad enough, but a sharp drop in a single month can be devastating.
• There are always exceptions, but most investors lost significant money during this market downturn. Even a well-diversified portfolio with investments across sectors and geographic regions would likely have experienced substantial losses. The vast majority of businesses saw revenue decline due to the “shutdown” of the economy.
• 🔑 This is why investors cannot diversify out of market risk.
• While you can’t diversify away market risk, you can hedge against it. One way to hedge is to buy (go long) an option that profits when the market moves against your portfolio.
• 📌 Example: investors with large diversified portfolios may buy (go long) index puts to protect against market risk. If an unexpected recession occurs, gains from a bearish long index put could help offset losses in the rest of the portfolio.

Key points

Index options

• Derive value from index fluctuations
• Most are European style
  • Can be exercised only at expiration
• OEX is the only American style option
  • Can be exercised at any time
• Can be used to hedge against market risk

Sources

Primary/official references for the material in this chapter. Every link was fetched and returned HTTP 200 on 2026-08-15.