medium · Quantitative Finance numerical
If a quantitative developer switches from an explicit scheme to an implicit scheme for solving the Black-Scholes PDE, what is the primary computational trade-off involved?
- Implicit schemes are unconditionally stable but require solving a linear system at each step
- Implicit schemes run faster per step but require much smaller discretization time steps
- Implicit schemes remain stable only within low-volatility market environments
- Implicit schemes cannot accommodate American options' early-exercise features under any grid setup
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