Financial planner Minnie Margin wishes to develop a mutual fund portfolio based on the Markowitz portfolio model. She needs to determine the proportion of the portfolio to invest in each of the five mutual funds listed below so that the variance of the portfolio is minimized subject to the constraint that the expected return of the portfolio be at least 5%. Formulate the appropriate nonlinear program. Minnie assumes that the more recent returns are more likely to occur. She assumes that the probability of occurrence of scenario 1 is 40%, of scenario 2 is 30%, of scenario 3 is 20% and of scenario 4 is 10%. Annual Returns (Planning Scenarios)
Mutual Fund Year 1 Year 2 Year 3 Year 4
International Stock 22 26 4 2
Large-Cap Value 15 19 11 -5
Mid-Cap Value 17 20 -4 -1
Small-Cap Growth 23 12 3 3
Short-Term Bond 9 8 6 4
S&P 500 12 8 4 9

A. economic resources to be used or turned into cash within one year. b. reports assets, liabilities, and stockholders' equity. c. decrease assets; increase liabilities and stockholders' equity. d. increase assets; decrease liabilities and stockholders' equity. e. an exchange or event that has a direct and measurable financial effect. f. accounts for a business separate from its owners. g. the principle that assets should be recorded at their original cost to the company. h. a standardized format used to accumulate data about each item reported on financial statements. i. the basic accounting equation. j. the two equalities in accounting that aid in providing accuracy. k. the account credited when money is borrowed from a bank using a promissory note. l. cumulative earnings of a company that have not yet been distributed to the owners. m. every transaction has at least two effects. n. amounts presently owed by the business. transaction, separate entity assumption, balance sheet, liabilities, assets, current assets, notes payable, duality of effects, retained earnings, debit.