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This question asks you to think about an AR(1) model with a negative slope parameter (specifically, -1 < β1 < 0). Suppose that you have time-series data, denoted y1, y2, ... , yn, that follows the AR(1) model with negative slope. For concreteness, let's say that you run the AR(1) regression and obtain an intercept estimate of 15 and a slope estimate of -0.5.
a. What is the sign of the correlation between yt and yt-1?
b. How about the sign of the correlation between yt and yt-2? between yt and yt-3? Do you see a pattern?
c. The formula for the mean of the AR(1) process remains the same. In this case, the estimated mean would be 15/(1-(-0.5)) = 10. Suppose that your last observation yn is equal to 20. Use the OLS estimates in order to provide forecasts (just point estimates, not intervals) for the next five periods yn+1, yn+2, ..., yn+5. Comment on how the forecasts compare to the mean level of the AR(1) process.
In 1970 and 1980, the nominal price of motor fuel rose much more rapidly than the general price level, pushing up the relative price of motor fuel. As we would expect, the quantity sold decreased. In 1981 and 1982, the relative price leveled off a..
you have operating and maintenance costs that start at $15,000 the first year and increase by $2,000 per year thereafter. assume that the salvage value at the end of five years is $9,000 and interest rate is 12%. Determine the equivalent annual co..
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Break the loop at the gate of M2, determine the loop gain, and prove that the feedback is positive.
Consider an economy where, consumer's utility function is given as U(C,L)=C-(1/2)L2 . where C is consumption and L is labor. The production technology is Y=(1.6)L-(1/2)L2. The turnover cost per labor is (0.36)/(w/p) (a) What happens to t as real w..
Jean-Pierre consumes only apples and bananas. He prefers more apples to less, but he gets tired of bananas. If he consumes fewer than 28 bananas per week, he thinks that one banana is a perfect substitute for one apple
Assume that there are a large number of identical firms in a competitive industry, each with the cost function: TC = 25+4q+q2 a. What is the minimum price at which firms will continue operating in the short run In the long run
Analyze several of the possible choices for CPU, memory, storage, and input/output peripherals, and then make a recommendation for a specific file server solution. Justify the choices that you recommend.
wedding plan with cake (c) and champagne (h) - price per glass and slice u(h,c) = h^(1/3)c a) solve foc's to derive the demand functions h(P(subscript h), P(subscript c), M) and c(P(subscript h), P(subscript c), M)
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