3. A trader has a short position of 10 contracts in a crude oil futures contract. Yesterday’s closing price was $55.30/barrel. The initial margin is $3,375 per contract and the maintenance margin level is $2500 per contract. The trader’s current margin balance is $28,000. If the closing price today is $57, will the investor be required to deposit money into the margin account. If a deposit is required, how much money must the trader deposit into the margin account?

You are the manager of a large crude-oil refinery. as part of the refining process, a certain heat exchanger (operated at high temperatures and with abrasive material flowing through it) must be replaced every year. the replacement and downtime cost in the first year is $165 comma 000. this cost is expected to increase due to inflation at a rate of 7% per year for six years (i.e. until the eoy 7), at which time this particular heat exchanger will no longer be needed. if the company's cost of capital is 15% per year, how much could you afford to spend for a higher quality heat exchanger so that these annual replacement and downtime costs could be eliminated?