Put-call parity and volatility


Task:

How can I use binomial model to answer to the following questions?

Consider the stock with the current price of $20. It pays no dividends.

1) Maturity: in 4 months

Strike price:$20
Volatility = 30% per annum
Risk-free rate: 10%

What’s the value of European call option?

2) What would be the value of option in 1), if you expect volatility over the next 4 month to be 20%?

3) Given the information in 1) and the expectation declared in 2), what option priced position should we take on?

4) Given that volatility = 30% per annum, what would be the replicating portfolio for the option?

5) What’s the price of European put using put-call parity and volatility = 30% per annum?

What’s the price of American put using put-call parity and volatility = 30% per annum?

Solution Preview :

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Finance Basics: Put-call parity and volatility
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