easy · Quantitative Finance

A finite-difference explicit scheme is used to solve the Black-Scholes PDE. At a specific price node i=50 and time step n+1, the option values are V_49^n+1 = 4.0, V_50^n+1 = 4.5, and V_51^n+1 = 5.1.

If the discretized coefficients are a_i = 0.45, b_i = 0.05, and c_i = 0.50, what is the value V_50^n at the previous time step?

  1. 4.500
  2. 5.025
  3. 4.533
  4. 4.575

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