About vs. Demo: You are on the interactive demo. Use the About Demo page for learning objectives, theory, usage steps, and assessment prompts.
Teacher cue: Observe how moneyness and time affect option valuation.

Standard demo guide

Use this demo in a logical learning sequence

Starts immediately in browser with no installs, no API keys, and classroom-safe defaults.

What this demo is about

Developed in 1973 by Fischer Black, Myron Scholes, and Robert Merton. Based on **stochastic calculus** and **risk-neutral valuation**.

Learning objectives

  • Explain the main quant decision that Option Pricing is designed to support.
  • Change input assumptions and predict how the output should respond before running the demo.
  • Interpret the result in plain language, not just as a number, chart, or AI recommendation.

Run mode and expectations

  • Supported modes: Browser
  • Starts immediately in browser with no installs, no API keys, and classroom-safe defaults.

Step 1: Inputs

  • Start with the default assumptions, then change one variable at a time so students can isolate cause and effect.
  • Treat each input as a lever that changes the scenario, baseline, or business context behind the result.

Step 2: Decision buttons

  • Use the main run or simulate action to compute the scenario after inputs are set.
  • Use export or reset actions, when present, to compare runs or return to a classroom-safe baseline.

Step 3: Outputs and what to notice

  • Read the top-line result first, then look for supporting metrics, tables, or narratives that explain why it changed.
  • Students should explain whether the output is descriptive, predictive, simulated, or recommended.
  • Look for intrinsic value, time value, volatility input, and option price
  • Observe how moneyness and time affect option valuation

๐Ÿ’ฐ Option Pricing Demo

Black-Scholes options pricing calculator with Greeks (Delta, Gamma, Theta, Vega, Rho). Master derivatives pricing and risk management.

๐ŸŒ Browser-Based | ๐Ÿ’ฐ Quant Finance | ๐Ÿ“ˆ Intermediate

The Black-Scholes model is the foundation of modern options pricing. This demo shows how volatility and time affect option prices.

Option Parameters

Market Parameters

Pricing Results

Call Option Price

$10.45

Put Option Price

$5.57

Delta

0.634

Gamma

0.018

Black-Scholes Formula

For a European call option:

C = SยทN(dโ‚) - Kยทe^(-rT)ยทN(dโ‚‚)

where dโ‚ = [ln(S/K) + (r + ฯƒยฒ/2)T] / (ฯƒโˆšT)

dโ‚‚ = dโ‚ - ฯƒโˆšT

Key Insight: Higher volatility = higher option premiums

๐ŸŽฏ Learning Objectives

๐Ÿš€ Key Features

๐Ÿ“‹ Input Parameters

โ–ถ๏ธ Run Demo ๐Ÿ“„ View README

๐Ÿ’ฌ Attribution

This demo is part of KateelLearningDemosToStudents by Professor Vinaya Sathyanarayana.

Attribution Email: vinallcontact@gmail.com