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CA Final · Advanced Financial Management · Derivatives Analysis and Valuation

Under the Black-Scholes model for a European call option on a non-dividend-paying share, all other inputs remaining unchanged, an increase in which input will reduce the theoretical value of the call?

The exercise price. A higher strike means the call holder pays more to acquire the share, which lowers the call's value. Higher spot price, volatility and risk-free rate each raise the Black-Scholes value of a European call on a non-dividend share.

  1. ACurrent spot price of the share
  2. BVolatility of the share's returns
  3. CExercise price of the optionCorrect
  4. DRisk-free rate of interest

Explanation

A higher exercise price means the holder must pay more to buy the share, so the call becomes less valuable. Higher spot price, higher volatility and a higher risk-free rate all increase the call value in the model.

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