An investor wrote a 45-strike European call option on an index with three years to expiration. The

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An investor wrote a 45-strike European call option on an index with three years to expiration. The premium for this option was 4.

The investor also bought a 55-strike European call option on the same index with three years to expiration. The premium for this option was 2.5.

The continuously compounded risk-free interest rate is 2%.

Calculate the index price at expiration that will allow the investor to break even.

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