Question: Nova s share price is $ 1 0 0 . In 3 months, it can either increase to $ 1 1 0 or fall to

Novas share price is $100. In 3 months, it can either increase to $110 or fall to $95.
If it increases, over the following 3 months, it can either increase again to $120 or
fall to $100. If it falls, it can either increase to $100 or decrease to $90. Assuming
that the risk-free rate is 4% per quarter, what is the price of a 6-month put option on
Nova with an exercise price of $95? Explain.

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