easy · Quantitative Finance derivatives

A risk analyst is comparing an arithmetic Asian call option (based on the average price) to a standard vanilla European call with the same strike and maturity.

Assuming the same market conditions, which statement is generally true?

  1. The Asian option price is independent of volatility.
  2. They must have the same price by arbitrage.
  3. The Asian option is more expensive than the vanilla option.
  4. The Asian option is cheaper than the vanilla option.

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