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?