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ACCA Strategic Professional · Advanced Financial Management · Application of option pricing theory in investment decisions

A European call option on the shares of Veltra plc has an exercise price of $50 and three months to expiry. All else equal, which change would increase the value of the call?

A rise in the risk-free interest rate increases the value of a European call, because the present value of the exercise price to be paid at expiry falls. Lower volatility, a higher exercise price or a lower share price would each reduce the call value.

  1. AA fall in the volatility of the share price
  2. BA rise in the exercise price
  3. CA rise in the risk-free interest rateCorrect
  4. DA fall in the current share price

Explanation

A higher risk-free rate reduces the present value of the exercise price payable, which raises the call value. Lower volatility, a higher exercise price and a lower share price all reduce the call value.

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