Consider the following table containing yields for mutual funds in different asset classes (small, mid, and large cap). Small Cap Fund Explorer Value Small-Cap Value Index Admiral Small-Cap Index Admiral Shares Strategic Small-Cap Equity Explorer Small-Cap Growth Index Admiral Explorer Value Small-Cap ETF Yield (%) 2.93 2.46 1.49 2.91 0.17 0.21 2.67 1.44 Fund Yield by Asset Class Mid Cap Fund Capital Value Mid-Cap Value Index Admiral Extended Market Index Admiral Shares Mid-Cap Index Admiral Shares Mid-Cap Growth Capital Value Strategic Equity Capital Opportunity Admiral Shares Yield (%) 0.96 2.73 1.22 1.52 1.9 0.32 1.54 1.44 sum of squares for treatments≈ 0.6898 sum of squares for error 22.3436 Step 1 of 2: What are the degrees of freedom for the sum of squares for error? Large Cap Fund Equity Income High Dividend Yield Index 500 Index Admiral Shares Diversified Equity FTSE Social Index Growth Equity U.S. Growth Windsor Yield (%) 3.24 3.50 2.73 1.23 1.42 0.58 0.37 1.64

45. Use the following information regarding an equal-weighted equity index and assume that all dividend payments are made at the end of the year. Security Price at the End of 2020 Price at the End of 2021 Dividends per Share A $20 $25 $0.50 B $50 $45 $0.20 C $31.25 $36 $0.40 D $100 $135 $0.50 Note: The dollar value of the index on December 31, 2020 is $10,000 and using a divisor of 10, the index level equals 1,000.   The weight of Security B in the index on December 31, 2021 before rebalancing is closest to:   a. 18.55% b. 25.00% c. 19.35% d. 22.15% e. 16.75%

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A proposed project has the following cash flow estimates.Assuming statistically independent cash flows, a normally distributed net present value, and a minimum attractive rate of return of 15%, determine the following. For the following questions, employ an analytical solution: a. the mean and standard deviation of net present value. b. the probability that the net present value is negative. c. the probability that the net present value is greater than $1,000,000. Assume the initial investment and annual receipts are normally distributed. d. Using a Monte Carlo simulation with 10,000 iterations, estimate the probability that the present worth is negative.