# Managing Portfolio Greeks

> Learn to add up delta, gamma, theta and vega across many option positions, set limits, run scenarios and adjust a book so its risks match your intentions.

Source: https://learn.tradelabsai.com/options/managing-portfolio-greeks/  
Track: Options · Level: Advanced · Updated: 2026-10-03  
Publisher: TradeLabs AI (https://tradelabsai.com). Education, not financial advice.  
Cite as: TradeLabs Learn, "Managing Portfolio Greeks", https://learn.tradelabsai.com/options/managing-portfolio-greeks/

Once you hold more than a few option positions, looking at each trade separately stops working. A long call here, a short put there and an iron condor somewhere else can add up to a book that is far more bullish, or far more exposed to a volatility spike, than you realised. Managing portfolio Greeks means measuring the combined exposures of all positions, comparing them with limits and adjusting the book so that its risks match what you intend.

## Adding up the Greeks

Greeks add across positions once each is expressed in the same units:

```
position delta = Σ (option delta × contracts × multiplier) + shares held
```

The same works for gamma, theta and vega.

**Example: A small book**
| Position | Delta | Gamma | Theta per day | Vega per point |
|---|---|---|---|---|
| Long 5 calls on stock A | +260 | +18 | minus $45 | +$60 |
| Short 10 puts on stock B | +310 | minus 25 | +$80 | minus $95 |
| Iron condor on index C | minus 15 | minus 8 | +$40 | minus $70 |
| Total | +555 | minus 15 | +$75 | minus $105 |

The book collects $75 a day in theta but is short gamma and short $105 of vega per volatility point. A 10 point jump in volatility would cost about $1,050, and a sharp move in either direction would hurt through negative gamma. It is also long about 555 shares worth of delta, more bullish than the trader may have intended.

## Beta weighting delta

Deltas on different stocks are not directly comparable: 100 deltas of a volatile tech stock carry more market risk than 100 deltas of a utility. Beta weighting converts each position's delta into equivalent units of an index such as the S&P 500:

```
beta weighted delta = delta × (stock price / index price) × beta
```

This gives a single number for the whole book's market exposure. See [Alpha and Beta](https://learn.tradelabsai.com/portfolio/alpha-and-beta/).

## Setting limits

Professional desks set limits for each Greek, and many individuals can do the same:

| Greek | Example limit | Purpose |
|---|---|---|
| Beta weighted delta | ±200 index shares | Limit directional exposure |
| Gamma | Short gamma no worse than a set amount | Limit losses from big moves |
| Vega | ±$500 per point | Limit volatility exposure |
| Theta | Positive theta no larger than a fraction of capital per day | Theta that is too large signals too much short gamma |

See [Risk, Position, Loss and Drawdown Limits](https://learn.tradelabsai.com/portfolio/risk-limits/).

## Scenario analysis

Greeks describe small changes. For big moves, reprice the whole book under scenarios:

- **Price moves** of ±5%, ±10% and ±20% in the underlying or index.
- **Volatility shocks** of ±5 and ±15 points.
- **Combined stress:** a 10% fall with a 15 point volatility spike, which is what crashes often look like.
- **Time:** the book's value one week later with no price change.

Many broker platforms show these as risk graphs. See [Stress Testing and Scenario Analysis](https://learn.tradelabsai.com/portfolio/stress-testing/).

## Adjusting the book

| Problem | Possible adjustment |
|---|---|
| Too much delta | Trade shares, futures or index options against it; see [Delta Hedging](https://learn.tradelabsai.com/options/delta-hedging/) |
| Too much short gamma | Buy options, close short options or convert to spreads |
| Too much short vega | Buy longer dated options or reduce short premium |
| Too much theta decay on longs | Sell options against long positions, such as calendars or verticals |
| Concentration in one name | Reduce or hedge the largest exposures |

## Greeks across expiries

Vega and gamma behave differently by expiry. Short dated options carry high gamma; long dated options carry high vega. A book that looks vega neutral can still lose if short dated volatility jumps while long dated volatility barely moves. Many traders track vega by expiry bucket or weight it to reflect this. See [Volatility Term Structure](https://learn.tradelabsai.com/volatility/volatility-term-structure/).

## Correlation in stress

Positions on different stocks look diversified in calm markets, but correlations rise in selloffs. Short puts on ten different stocks can behave like one big short put on the index in a crash. See [Correlation Management](https://learn.tradelabsai.com/portfolio/correlation-management/).

## A practical routine

1. Check total beta weighted delta, gamma, theta and vega daily.
2. Compare with limits.
3. Run at least one combined stress scenario.
4. Adjust the largest exposures first.
5. Record the book's Greeks over time in your journal. See [Trading Journal](https://learn.tradelabsai.com/start-here/trading-journal/).

## Frequently asked questions

### What are portfolio Greeks?

The combined delta, gamma, theta, vega and rho of all option and stock positions in a portfolio.

### What is beta weighted delta?

A way to express the delta of positions in different stocks in terms of one index, so total market exposure can be measured with one number.

### Why are Greeks not enough for risk management?

They describe small changes. Large moves and volatility shocks require full scenario analysis and stress testing.

Next, see how option dealers' hedging can move markets in [Dealer Gamma Exposure](https://learn.tradelabsai.com/options/dealer-gamma-exposure/).

## Continue learning

- Next lesson: [Dealer Gamma Exposure](https://learn.tradelabsai.com/options/dealer-gamma-exposure/)
- Previous lesson: [Vega Positioning](https://learn.tradelabsai.com/options/vega-positioning/)
- Related: [Vega Positioning](https://learn.tradelabsai.com/options/vega-positioning/): Vega positioning builds option trades to profit from rising or falling implied volatility. Learn long and short vega structures, term structure and how to size them.
- Related: [The Option Greeks Explained](https://learn.tradelabsai.com/options/the-option-greeks-explained/): The option Greeks measure how an option's price responds to price, time, volatility and rates. Learn what each Greek means and how traders use them together.
- Related: [Delta Hedging](https://learn.tradelabsai.com/options/delta-hedging/): Delta hedging offsets an option position's directional risk with the underlying. Learn how it works, how often to rehedge and what risk remains.
- Related: [Stress Testing and Scenario Analysis](https://learn.tradelabsai.com/portfolio/stress-testing/): Stress testing asks how a portfolio would fare in extreme but plausible events. Learn historical and hypothetical scenarios and reverse stress tests.
- Related: [Risk, Position, Loss and Drawdown Limits](https://learn.tradelabsai.com/portfolio/risk-limits/): Risk limits turn a risk policy into hard rules on position size, exposure, daily loss and drawdown. Learn how to set them, enforce them and avoid mistakes.
- Related: [Alpha and Beta](https://learn.tradelabsai.com/portfolio/alpha-and-beta/): Beta measures how much a portfolio moves with the market; alpha is the return beyond what that exposure explains. Learn formulas, CAPM, regression and pitfalls.