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Let us assume that {Wt}t is a white noise process with mean 0 and variance σ2 = 1. Consider the time series {Xt}t defined by:
1. Rewrite the model using the backward shift operator B.
2. Is the model invertible? Say why.
3. Does an auto-regressive representation exist? If yes, give it.
4. Is the model stationary (causal)? Say why.
5. Does a moving average representation exist? If yes, give it.
6. Is the time series {Yt}t defined by:
stationary? Explain your answer.
How long will it take you to save an adequate amount for retirement if you deposit $2,500 per quarter year into an account beginning today that's pays an effective annual rate (EAR) of 4 percent
Pierce Furnishings generated $2 million in sales during 2011, and its year-end total assets were $1.1 million. Also, at year-end 2011, current liabilities were $500,000, consisting of $200,000 of notes payable
Common Stock: The firm's common stock is currently selling for $40 per share. The divident expected to be paid at the end of the coming year is $5.07. Its divident payments have been growing at a constant rate for the last five years.
A restaurant owner wants to buy new kitchen equipment for $25,000. He would like to pay for it through saving up $2,000 a week in a fund that pays 10% interest compounded monthly.
You own a portfolio that has $1,300 invested in Stock A and $2,100 invested in Stock B. If the expected returns on these stocks are 10% and 16%, respectively, what is the expected return on the portfolio
Write a MATLAB program to simulate the dice rolling game. - Run program a large number of times and use the relative frequency to verify the answer.
Zoso is a rental car company that is trying to determine whether to add 28 cars to its fleet. The company fully depreciates all its rental cars over five years using the straight-line method.
Assume that the risk free rate is 4.5% and that the market risk premium is 5.5%. The manager expects to receive an additional $5,000,000 in funds soon.
Consider a 30-year mortgage at an interest rate of 9% compounded monthly with a $1300 monthly payment. How much interest is included in the first month's payment
Oberon, Inc., has a $35 million (face value) 10-year bond issue selling for 94 percent of par that pays an annual coupon of 8.20 percent. What would be Oberon's before-tax component cost of debt
Say that you purchase a house for $150,000 by getting a mortgage for $135,000 and paying a $15,000 down payment. Assume you get a 15-year mortgage with a 6% interest rate.
You take a $5,000 loan with an interest rate of 10% and pay off a constant principal portion of $200 every year. Use the arithmetic progression.
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