Óscar Romero Quincoces

Projects / Master's coursework

Options on SPY

A long straddle, with and without delta hedging

2025–2026MIAX master's, Instituto BME
Cumulative P&L: the straddle unhedged and delta-hedged
Figure 1. Cumulative P&L: the straddle unhedged and delta-hedged

Summary

Black-Scholes pricing, Greeks and implied volatility on SPY options, used to build a long straddle and a version hedged every day. The hedge turns the straddle from a bet on direction into a pure bet on volatility. It also compares sending a combo order with legging in.

What it does

Starting from the course's base code, which connects to Interactive Brokers and prices options with Black-Scholes, Greeks and implied volatility, I built a long straddle on SPY and a version hedged in delta every day. The P&L of both is broken down by Greek, and a simulation compares sending the position as one combo order with legging in one option at a time.

What I learned

The daily hedge turns the straddle from a bet on direction into a pure bet on volatility, and at-the-money strikes give the best balance between cost and sensitivity.

Figures

Long straddle payoff on SPY, with its break-even points
Figure 2. Long straddle payoff on SPY, with its break-even points
Sensitivity to the strike: premium, delta, gamma and break-even range
Figure 3. Sensitivity to the strike: premium, delta, gamma and break-even range
Option price and Greeks through to expiry
Figure 4. Option price and Greeks through to expiry

Built with

Pythonib_insyncNumPy · SciPypandasPlotlyyfinance