Financial Instrument Pricing Using C 90%
Use double for calculations to minimize rounding errors in complex floating-point math.
C is ideal for this because pricing engines often need to run thousands of iterations (Monte Carlo simulations) in milliseconds. The Implementation: Black-Scholes Call Option Financial Instrument Pricing Using C
Since this uses stack-allocated doubles, it is extremely fast and can be called inside a loop for "Greeks" sensitivity analysis or volatility surfaces. Use double for calculations to minimize rounding errors
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This code calculates the theoretical price of an option based on the underlying price, strike price, time to maturity, risk-free rate, and volatility.
In a production environment, you would extend this to calculate Delta , Gamma , and Theta by taking the partial derivatives of the price function.
We use the erfc (complementary error function) to calculate the cumulative distribution function, which is the probability that the option will end up "in the money."