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Consider the linear model with n observations y ~ N (Xβ, σ2In), since we have many predictors, β is a vector.
(a) Write down the log-likelihood (β; y) of the model and the score U(β) = ∂/∂ β.
(b) Under certain regularity conditions it can be shown that the expected score is zero and thus that Fisher information I(β), the variance of the score, isShow that I(β)1 is the same as the variance of the MLE β of β, and thus that the information does not depend on β.
(c) The same regularity conditions imply that That is, that the information is also the negative Hessian of the log-likelihood. Verify that this is true by computing the negative Hessain and showing it equals the inverse of the variance of β.
At year-end 2015, Wallace Landscaping’s total assets were $1.9 million and its accounts payable were $440,000. Sales, which in 2015 were $2.7 million, are expected to increase by 30% in 2016. Total assets and accounts payable are proportional to sale..
Discuss in one or two paragraphs the types of financing activities your research company is involved in. The discussion should include any or all of the following: The type of financing activity. What the funds are being used for?
What is capital budgeting? Why are capital budgeting decisions so important to businesses? b. What is the purpose of placing capital projects into categories such as mandatory y replacement or expansion of existing products, ser- vices, or markets? c..
What are the advantages and disadvantages of Henry's new index relative to the present index?
Financial Appraisals Inc. is considering purchasing new software. Determine the payback period (in years) for this project. Software initial cost is $56,000 and would yield after-tax cash flows of $14,000 the first year, $16,000 the second year, $19,..
What is the meaning of the following sentence: "Amortization affects the amount of interest expense." How does amortization of premium affect the amount of interest expense? How does amortization of discount affect the amount of interest expense?
Assume that the corporate tax rate is 34% and the personal tax rate is 30%. The founders of a newly formed business are debating between setting up the firm as a partnership versus a corporation. What is the difference in the percentage of the firm's..
Analyze the three-part consolidation worksheet process using the equity method, specifically addressing how the transactions impact the financial statements, and how an outside user of the financial statements would use the information provided.
Grady Home Health has a profit margin of 15 percent on sales of $20 million. If the firm has debt of $7.5 million and total assets of $22.5 million, what is Grady's return on assets?
Consider the following information and then calculate the required rate of return for the Global Investment Fund, which holds 4 stocks. The market's required rate of return is 14.00%, the risk-free rate is 3.00%, and the Fund's assets are as follows:..
A closed-end fund has total assets of $495 million and liabilities of $280,000. Currently, 28 million shares are outstanding. What is the NAV of the fund? If the shares currently sell for $18.45, what is the premium or discount on the fund?
Calculate the term of a mortgage assuming an interest rate of 7.75%, a monthly payment of $2,212.76, and an original loan amount of $280,000.
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