medium · Quantitative Finance numerical
What is the primary reason for using a non-uniform (stretched) grid in finite-difference pricing of barrier options?
- To ensure the tridiagonal coefficient matrix stays symmetric, which simplifies the LU decomposition solver here.
- To place more nodes near the barrier level H and the strike K where the second derivative (Gamma) of the option is highest.
- To allow use of the explicit finite-difference scheme for long-dated options by increasing spacing Δ S near the far boundaries.
- To satisfy the Feller condition for strict variance positivity when using the Heston stochastic volatility model in the pricing PDE.
Sign up free to see the explanation and track your rank →
More Quantitative Finance numerical practice
- To solve for the implied volatility of an option when the market price is known, which num
- Which numerical method for option pricing is generally preferred for high-dimensional cont
- Which numerical method for pricing options is best suited for high-dimensional products, s
- If the trader needs to reduce the standard error to 0.02, how many total paths are require
- If the correlation between the original payoff X and the antithetic payoff X' is ρ = -0.7
- By what factor is the variance of the antithetic estimator reduced compared to two indepen
- To reduce the standard error to $0.05 using only a larger sample size, how many total path
- What is the primary advantage of using a 'control variate' in Monte Carlo simulation for p