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FRM Part I · FRM Exam Part I · Properties of Options

Holding all other factors constant, which change would most clearly increase the value of a European call option on a non-dividend-paying stock?

An increase in the risk-free rate raises a European call's value because it lowers the present value of the strike price to be paid at expiry. Lower volatility and a higher strike reduce call value, and shorter time to expiry typically reduces it too.

  1. AA decrease in the stock's volatility
  2. BAn increase in the risk-free interest rateCorrect
  3. CA decrease in the time to expiration
  4. DAn increase in the strike price

Explanation

A higher risk-free rate reduces the present value of the strike paid at exercise, which raises call value. Lower volatility, a higher strike, and less time (for a non-dividend stock, European call time value generally falls) all reduce or do not raise value.

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