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Consider a portfolio of options on a single asset. Suppose that the delta of the portfolio is 12, the value of the asset is $10, and the daily volatility of the asset is 2%. Estimate the 1-day 95% VaR for the portfolio from the delta.
Suppose next that the gamma of the portfolio is -2:6. Derive a quadratic relationship between the change in the portfolio value and the percentage change in the underlying asset price in one day. How would you use this in a Monte Carlo simulation?
The investor takes $200,000 loan (at time zero) to purchase the machine at 6% interest rate. Loan has to be repaid by constant annual payments from year 1 to year 5 (5 payments). Calculate interest and principle for the payments, BTCF, ATCF, NPV and ..
For the first three years, μ = 2 and σ = 3; for the next three years, μ = 3 and σ = 4. If the initial value of the variable is 5, what is the probability distribution of the value of the variable at the end of year 6?
Which of the following statements is true regarding the legal aspects of a life insurance contract?
A stock has an expected return of 12.2 percent, the risk-free rate is 4 percent, and the market risk premium is 10 percent. What must the beta of this stock be?
The Easton manufacturing Company is looking to replace its conveyor belt system. A new system will cost $345,000, and will result in cost savings of $220,000 in the first year, followed by savings of $100,000 per year over the following 3 years. If t..
Kayla is in the 28% federal income tax bracket and the 5% state income tax bracket. If Jennifer purchases a municipal bond yielding 4.25%, what is the equivalent yield on a taxable bond if the municipal bond income is exempt from both federal and sta..
Both Bond Bill and Bond Ted have 12.8 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 7 years to maturity, whereas Bond Ted has 24 years to maturity. If interest rates suddenly rise by 3 percent, what is the perc..
You hold a portfolio consisting of a $5,000 investment in each of 20 different stocks. The portfolio beta is equal to 1.15. You have decided to sell a coal mining stock (b = 1.00) at $5,000 net and use the proceeds to buy a like amount of a mineral r..
An electrical energy audit indicates that the motor control center consumption is 8´106 kWh per year. By using high efficiency motors, a savings of 15% can be achieved. The additional cost for these motors is about $80,000. Assuming that the average ..
Using the American term quotes from Exhibit 5.4, Calculate the one-, three-, and six-month forward cross-exchange rates between the Australian dollar and the Swiss franc. State the forward cross-rate in “Australian” terms.
Suppose oil forward prices for 1-, 2-, and 3-year contracts are $20, $21, and $22. The 1-year effective annual interest rate is 6%, the 2-year interest rate is 6.5%, and the 3-year interest rate is 7%. What is the price of a 2-year swap beginning in ..
An Italian company is considering expanding the sales of its cappuccino machines to the U.S market. As a result, the idea of a setting up a manufacturing facility in the U.S should be explored. Why APV model is better than NPV model for capital budge..
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