Financial Option Valuation: Binomial Model Applications
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Problem 1: European Call Option Valuation
A stock price is currently at 40 euros. It is known that at month-end, the price will be either 42 euros or 38 euros. The risk-free interest rate is 8% per annum, continuously compounded. We have a call option with a strike price of 39 euros.
- Shares for Riskless Portfolio: Calculate the number of shares to buy to create a riskless portfolio. Given Answer: 0.75 shares.
- Cash for Replication: Determine the cash needed to replicate the portfolio at the end of the month. Given Answer: -57/2 euros.
- One-Month European Call Value: What is the value of the one-month European Call option? Given Answer: 1.69 euros.
- Put Option Value: What is the value of a corresponding put option? Given Answer: 0.43 euros.
- Call-Put