# Options Greeks Calculator MCP for AI Agents AI Agent Connect

> Options Greeks Calculator. This Connector lets you calculate Black-Scholes theoretical option prices and the Greeks—Delta, Gamma, Theta, Vega, and Rho—to assess market risk. Instead of guessing how your portfolio reacts to volatility or time decay, you get precise numbers on price movements and fair value for European-style options. It's built for traders who need to know exactly how much their positions will move when the market shifts.

## Overview
- **Category:** finance
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_BVnXJabBbVm1pSdhmM71Qwg0pynmxse6JT3J80va/ai-agent-connect
- **Tags:** black-scholes, options, greeks, derivatives, volatility, trading

## Description

When you're managing a derivatives portfolio, feeling the market isn't enough. You need to know how a 1% move in the underlying asset actually hits your P&L. This Connector handles the heavy lifting of the Black-Scholes model so you don't have to pull out a spreadsheet or a specialized calculator every time the numbers shift. You can ask your agent to tell you how much your options will lose to time decay by tomorrow or how a spike in volatility will impact your current exposure. It turns complex mathematical formulas into plain-language answers about your risk. By adding this to your toolkit via the Vinkius catalog, you give your AI client the ability to act like a quant. It doesn't just give you a price; it explains the sensitivity of that price to interest rates, time, and market swings. It's about moving from what happened to what will happen if the market shifts, without the manual overhead of constant recalculation.

## Tools

### calculate_directional_risk
Quantifies how much the option price reacts to movements in the underlying asset's price. This helps you understand your immediate exposure to price swings.

### calculate_environmental_sensitivities
Quantifies how external factors like time, volatility, and interest rates impact the option's value. It's your go-to for measuring time decay and other external pressures.

### calculate_option_valuation
Calculates Black-Scholes theoretical prices for Call and Put options. Use this to find the fair market value of a derivative based on current data.

## Prompt Examples

**Prompt:** 
```
What's the fair price for a Call with a 100 strike and 0.5 years left if the stock is at 105 and volatility is 20%?
```

**Response:** 
```
### Options Valuation Analysis

Based on the Black-Scholes model, here is the theoretical value for your request:

*   **Option Type:** Call
*   **Theoretical Price:** **4.37**
*   **Underlying Price:** 105.00
*   **Strike Price:** 100.00
*   **Time to Expiry:** 0.5 Years
*   **Volatility:** 20%
*   **Risk-Free Rate:** 5%
```

**Prompt:** 
```
How much will I lose to time decay today on a Put with a 145 strike and 0.2 years left?
```

**Response:** 
```
### Time Decay (Theta) Report

For your Put option, the daily time decay is as follows:

*   **Daily Theta:** **-0.05**
*   **Interpretation:** Your option will lose approximately **0.05** in value every day, assuming all other factors remain constant.

This indicates a steady erosion of value as you approach the 0.2-year expiry mark.
```

**Prompt:** 
```
What's my directional risk if the underlying is at 150 and I have a 145 strike option with 30% volatility?
```

**Response:** 
```
### Directional Risk Metrics

Here is the risk breakdown for your position:

| Metric | Value | Description |
| :--- | :--- | :--- |
| **Delta** | **0.68** | Your position moves 0.68 for every 1.00 move in the underlying. |
| **Gamma** | **0.025** | This measures the rate of change in your Delta. |

**Summary:** This position shows a moderately aggressive directional exposure.
```

## Capabilities

### Quantify price movement reactions
Get exact Delta and Gamma values to see how much your option price moves relative to the underlying asset.

### Measure time decay impact
Calculate the Theta of your positions to understand exactly how much value is lost every day.

### Calculate fair option prices
Get theoretical Call and Put prices based on current market data and the Black-Scholes model.

### Assess volatility sensitivity
Determine how changes in implied volatility will impact your current option positions.

### Track interest rate impact
Measure the Rho of your options to see how fluctuations in interest rates affect your pricing.

### Evaluate environmental factors
Get a comprehensive look at how time, volatility, and rates interact to determine option value.

## Use Cases

### Assessing a volatility spike
A trader sees a spike in implied volatility and wants to know the impact on their portfolio. Ask your agent to check the Vega and Theta for your current positions using calculate_environmental_sensitivities to decide if you need to hedge.

### Pricing a new Call option
An analyst needs to price a new Call option for a client. Input the strike, expiry, and volatility to get the theoretical price via calculate_option_valuation for a quick quote.

### Monitoring daily time decay
A portfolio manager wants to know the daily loss from time decay. Use calculate_environmental_sensitivities to get a specific Theta value, helping you decide when to roll the position.

### Calculating directional exposure
A trader needs to know the sensitivity of a deep-in-the-money option. Run calculate_directional_risk to see the Delta and Gamma, ensuring you know your exact directional exposure.

## Benefits

- Stop guessing on price moves. Use calculate_directional_risk to see exactly how your options react to underlying asset price changes.
- Master time decay. calculate_environmental_sensitivities tells you how much value your position loses every day.
- Get fair market values. Use calculate_option_valuation to find the theoretical price of Call and Put options instantly.
- Monitor volatility. Understand how market swings affect your position using the environmental sensitivity tool.
- Analyze interest rate impact. Track how Rho affects your long-term positions without manual math.
- Speed up risk reporting. Get instant Greeks for your entire portfolio instead of opening multiple tabs.

## How It Works

The bottom line is you get instant, high-precision risk metrics for your options without touching a calculator.

1. Connect the Options Greeks Calculator to your AI client through the Vinkius dashboard.
2. Provide the underlying price, strike price, time to expiry, volatility, and interest rate.
3. Receive a breakdown of theoretical prices and all five Greeks instantly.

## Frequently Asked Questions

**What does the Options Greeks Calculator do?**
It calculates the theoretical price and the Greeks—Delta, Gamma, Theta, Vega, and Rho—for European-style options using the Black-Scholes model.

**Can I use this for Call and Put options?**
Yes, the tool handles both Call and Put options to give you fair market values and risk sensitivities.

**How does this help with market risk?**
It quantifies how your options react to price moves, volatility changes, and time decay, allowing you to hedge more effectively.

**Can it calculate time decay?**
Yes, it provides specific Theta values so you can see exactly how much value your position loses every day.

**Is this for European-style options?**
This tool is specifically designed for European-style options. It may not be accurate for American-style options that can be exercised early.

**How do I get the fair value of an option?**
By providing the underlying price, strike, expiry, volatility, and interest rate, the tool returns the theoretical fair price instantly.

**Can my AI agent tell me my Delta?**
Yes, your AI agent can use the tool to calculate the Delta and Gamma of any position you describe to it.

**What is the purpose of the `calculate_option_valuation` tool?**
It determines the theoretical fair market price for both Call and Put options based on inputs like underlying price, strike, time to expiry, risk-free rate, and volatility.

**How can I assess the impact of volatility changes?**
Use the `calculate_environmental_sensitivities` tool to find the Vega, which measures price sensitivity to a 1% change in implied volatility.

**Does this tool handle directional risk?**
Yes, the `calculate_directional_risk` tool quantifies Delta and Gamma to show how much your option price reacts to movements in the underlying asset's price.