Imagine a two-state world with a financial market. In the market, there is a stock with...

 

Transcribed Image Text:

Imagine a two-state world with a financial market. In the market, there is a stock with current price 100. In the next period, the stock either rises to 110 with a 60% probability or declines to 90 with 40% probability. We also have a European call option on the stock maturing next period with strike price 88 and current price of 10. i. Is the market complete? Explain. [2 marks] ii. Show that under no arbitrage, this option price implies a risk free rate of 5% iii. Calculate the risk-neutral probabilities implied in this set up [5 marks] [5 marks] Imagine a two-state world with a financial market. In the market, there is a stock with current price 100. In the next period, the stock either rises to 110 with a 60% probability or declines to 90 with 40% probability. We also have a European call option on the stock maturing next period with strike price 88 and current price of 10. i. Is the market complete? Explain. [2 marks] ii. Show that under no arbitrage, this option price implies a risk free rate of 5% iii. Calculate the risk-neutral probabilities implied in this set up [5 marks] [5 marks]

Answer rating: 100% (QA)

i The market is complete if there exists a hedging strategy for the option that does not require any ... View the full answer