Research Article

Accurate and Efficient Computations of the Greeks for Options Near Expiry Using the Black-Scholes Equations

Figure 11

(a) Vega at time as a function of the asset price by closed-form formula, numerical approximation for only one time step size , and adaptive time step strategy. (b) Errors as a function of the asset price by adaptive time-stepping strategy with respect to .
(a)
(b)