1. A banker commits to a two year $5,000,000 commercial loan and expects to fulfill the agreement in 30 days. The interest rate will be determined at that time. Currently, rates are 7.5% for such loans. To hedge against rates falling, the banker buys a 30 day interest rate floor with a floor rate of 7.5% on a notional amount of $10,000,000. After 30 days, actual rates fall to 7.2%. What is the expected interest income from the loan each year? How much did the option pay?
2. A trust manager for a $100,000,000 stock portfolio wants to minimize short term downside risk using Dow put options. The options expire in 60 days, have a strike price of 9,700, and a premium of $50. The Dow is currently at 10,100. How many options should she use? Long or short? How much will this cost? If the portfolio is perfectly correlated with the Dow, what is the portfolio value when the option expires, including the premium paid?