Question
1- A one-year European call option on Stanley Industries stock with a strike price of $55 is currently trading for $75 per share. The stock
1- A one-year European call option on Stanley Industries stock with a strike price of $55 is currently trading for $75 per share. The stock pays no dividends. A one-year European put option on the stock with a strike price of $55 is currently trading for $100. If the risk-free interest rate is 10 percent per year, then what is the current price on one share of Stanley stock assuming no arbitrage?
2- The current price of MB Industries stock is $20 per share. In the next year the stock price will either go up to $24 per share or go down to $16 per share. MB pays no dividends. The one year risk-free rate is 5 percent and will remain constant. Using the one-step binomial pricing model, what is the price of a one-year CALL option on MB stock with a strike price of $20 (out to two decimal places)?
3- The current price of MB Industries stock is $20 per share. In the next year the stock price will either go up to $24 per share or go down to $16 per share. MB pays no dividends. The one year risk-free rate is 5 percent and will remain constant. Using the one-step binomial pricing model, what is the price of a one-year CALL option on MB stock with a strike price of $20 (out to two decimal places)?
4- A European call and a European put on the same stock have the exact same strike price and the exact same expiration. At 10:00am on a certain day, the call option premium is $3.25 and the put option premium is $4.25. At 10:01am news reaches the market that no effect on the stock price or on interest rates, but it does increase volatilities. As a result, the call premium increases to $4.00. What is the new put premium (out to two decimal places)?
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