2023年3月7日 星期二

Chatgpt - option price prediction python

 There are many ways to predict option prices in Python, but one popular method is to use the Black-Scholes model. The Black-Scholes model is a mathematical formula that calculates the theoretical value of an option based on various inputs such as the current stock price, the option strike price, time to expiration, risk-free interest rate, and implied volatility.

Here's an example Python code using the Black-Scholes model to predict the price of a call option:



import numpy as np from scipy.stats import norm def bs_call(S, K, T, r, sigma): d1 = (np.log(S/K) + (r + 0.5 * sigma**2) * T) / (sigma * np.sqrt(T)) d2 = d1 - sigma * np.sqrt(T) return S * norm.cdf(d1) - K * np.exp(-r * T) * norm.cdf(d2) # Input parameters S = 100 # current stock price K = 110 # option strike price T = 0.5 # time to expiration in years r = 0.05 # risk-free interest rate sigma = 0.2 # implied volatility # Calculate the call option price call_price = bs_call(S, K, T, r, sigma) print(f"The predicted call option price is: {call_price:.2f}")


In this code, we define a function bs_call that takes in the Black-Scholes inputs and calculates the theoretical price of a call option. We then input the current stock price, option strike price, time to expiration, risk-free interest rate, and implied volatility, and use the bs_call function to predict the call option price. Finally, we print the predicted call option price rounded to two decimal places.

Note that there are many other methods to predict option prices, and the Black-Scholes model is just one of them. Additionally, the Black-Scholes model assumes certain conditions that may not hold in real-world scenarios, so it's important to understand the limitations of the model before using it to make investment decisions.

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