CONTENTS

Solution: Computing a Black-Scholes Call Price

Solution

d1=(0+0.05+0.5(0.2)2)/0.2=0.35d_1=(0+0.05+0.5(0.2)^2)/0.2=0.35 and d2=0.15d_2=0.15. The call price is

C0=100(0.6368)100e0.05(0.5596)10.45.C_0=100(0.6368)-100e^{-0.05}(0.5596)\approx10.45.

Takeaways

  • d2=d1σTd_2=d_1-\sigma\sqrt T.
  • The discounted strike term uses erTe^{-rT}.
  • This parameter set is the standard Black-Scholes benchmark.
Solution - Computing a Black-Scholes Call Price | q4quant.studio