A stock is trading at $58. You believe there is a 70% chance the price of the stock will increase by 10% over the next 3 months. You believe there is a 20% chance the stock will drop by 10%, and you think there is only a 10% chance of a major drop in price of 20%. At-the-money 3-month puts are available at a cost of $730 per contract. What is the expected dollar profit for a writer of a naked put at the end of 3 months?

Your sister turned 35 today, and she is planning to save $60,000 per year for retirement, with the first deposit to be made one year from today. she will invest in a mutual fund that's expected to provide a return of 7.5% per year. she plans to retire 30 years from today, when she turns 65, and she expects to live for 25 years after retirement, to age 90. under these assumptions, how much can she spend each year after she retires? her first withdrawal will be made at the end of her first retirement year.