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1). Mr. Smith is a busy entrepreneur. A financial advisor decides where to invest Mr. Smith's stock portfolio worth several million dollars. After a few years, Mr. Smith hires two consultants to independently evaluate the performance of his stock portfolio. These consultants were given daily data on the total dollar value of portfolio, as well as the data on the episodic infusions of cash from Mr. Smith. "I can't trust these guys", says Mr. Smith. "It is true they found the same return, but the risk-adjustment calculations don't match." Consultant 1 report that Mr. Smith's stock portfolio had an annual Sharpe Ratio of 0.43, and while "a broad stock market index" had an annual Sharpe Ratio of 0.39. He also found an annual CAPM alpha of 1.54% per year. In contrast, Consultant 2 report annual Sharpe Ratios of 0.41 and 0.40 for Mr. Smith's portfolio and for a market index, respectively, and an annual CAPM alpha of 0.12%. Can both consultants have correct calculations? Explain in detail.
2) Newton Burt claims risk-adjustment is easy because "Once you have all the data in a spreadsheet, it is very easy to calculate Sharpe Ratios, CAPM alphas, Information Ratios, and Max DD." Is it possible that Mr. New B. is both right and wrong at the same time? Discuss.
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