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A laptop today costs $1000. In a year, it would either cost $1200 or $900. The risk free rate is 5%. 1. What is the

A laptop today costs $1000. In a year, it would either cost $1200 or $900. The risk free rate is 5%.

1. What is the (market-implied) probability that the price will increase?

2. What is today's price of a call option to buy a laptop for $1000 next year?

3. What is today's price of a put option struck at $1000?

4. What is today's price of a forward struck at $1000?

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