Solutions for Chapter 17: Questions and Problems CHAPTER 17 PROFESSIONAL MONEY MANAGEMENT, ALTERNATIVE ASSETS, AND INDUSTRY ETHICS Answers to Questions 1. Private management and advisory firms typically develop a personal relationship with their clients, getting to know the specific investment objectives and constraints of each. The collection of assets held can then be tailored to the special needs of the client. Conversely, a mutual fund (investment company) offers a general solution to an investment problem and then markets that portfolio to investors who might fit that profile. Special attention comes at a cost and for that reason private management firms are used mainly by investors with substantial levels of capital, such as pension funds and high net worth individuals. Conversely, individual investors with relatively small pools of capital are the primary clients of investment companies. The majority of private management and advisory firms are still much smaller and more narrowly focused on a particular niche in the market. A wide variety of funds is available, so an investor can match almost any investment objective or combination of investment objectives. Management and advisory firms hold the assets of both individual and institutional investors in separate accounts, which allows for the possibility of managing each client’s portfolio in a unique manner. Conversely, investment companies are pools of assets that are managed collectively. Investors in these funds receive shares representing their proportional ownership in the underlying portfolio of stocks, bonds, or other securities. 2. Based on Exhibit 17.2, there has been a rapid increase in the number of large asset management firms. Much of this asset growth can be explained by the strong performance of the equity markets during this period, but there has been a trend toward consolidating assets under management in large, multiproduct firms. 3. After the initial public sale of units in the investment company the open-end fund will continue to sell new units to the public at the NAV with or without a sales charge and will redeem (buy back) fund units at the NAV. In contrast, the closed-end fund does not buy or sell units once the original issue is sold. Therefore, the purchase price or sales price for a closed-end fund is determined in the secondary market. If the closed-end fund units are not liquid they will sell at a discount, possibly creating losses for investors who purchased units at their IPO. - 132 Copyright © 2010 by Nelson Education Ltd. Solutions for Chapter 17: Questions and Problems 4. A load fund charges a fee for the sale of units (front end load) and/or redeeming units (back end load). It will sell units at its net asset value plus the sales charge. A no-load fund has no initial sales charge, so it will sell its units at its net asset value. 5. You definitely should care about how well a mutual fund is diversified. One of the main advantages of a mutual fund is instant diversification, so it truly is important. Given the CAPM, it is known that the market only pays for systematic risk so it is important to eliminate unsystematic risk, which is the purpose of diversification. An undiversified fund is making unsystematic “bets” that investor may not be aware of (unless they carefully review the fund’s statements and statistical analyses). 6. As an investor, it is the net return that is important because these are the returns that you derive. The net return for a fund is the return after all research and management costs. The gross return is before these expenses. The net return is the return reported to the stockholder since all expenses have been allowed for in the NAV. To compute the gross return it is necessary to compute the expenses of the fund and add these back to the ending NAV and compute the returns with these expenses added back. Typically, the average difference in return is about one percent a year, but this varies by fund. 7. It is questionable whether good performance will continue during two successive shortterm periods because in many cases it could be a random event of a couple of winners that are not repeated. Empirically, such superior performance has not been consistent beyond what you would expect by chance. 8. Managers are often compensated with a base salary and a bonus that depends on the performance of their portfolios relative to those of their peers. Therefore, a manager with a relative poor performance midway through a compensation period could be more likely to increase the risk of the portfolio in an effort to increase his/her final standing. Of course, altering fund risk to enhance his/her own compensation suggests that some managers may not always act in his/her client’s best interest. 9. Soft dollars are generated when a manager commits the investor to paying a brokerage commission that is higher than the simple cost of executing a stock trade in exchange for the manager receiving additional bundled services from the broker. One example would be for a manager to route her trades through a non-discount broker in order to receive security reports that the brokerage firm produces. - 133 Copyright © 2010 by Nelson Education Ltd. Solutions for Chapter 17: Questions and Problems CHAPTER 17 Answers to Problems 1. 2. $50,000 6,250 $8.00 Current NAV = $75,800/6,250 units = $12.13 Initial number of units Load fund = ($1,000 - $80) × 1.15 = $1,058.00 Represents a 5.80% growth No-load fund = ($1,000 × 1.12) × (1 - .01) = $1,108.80 Represents a 10.88% growth The no-load fund offers an extra $50.80 over the load fund for a $1,000 investment held over a one-year time period. The difference in percent growth is 5.08%. 3. Period 0 1 2 3 4 NAV $10.00 11.25 9.85 10.50 12.30 Premium/Discount 0.0 -5.0 +2.3 -3.2 -7.0 Market Price Annual Return $10.00 10.69 6.9% 10.08 -5.7 10.16 0.8 11.44 12.6 3(a). Using the above data, the arithmetic average return per year is 3.65%. On an annual compounded (geometric average) basis, the average annual return is 3.42%. This latter answer is the same as if the annual return is computed using only the end points, units were worth $11.44 at the end of year 4 and were purchased for $10, giving a compounded return of ($11.44 / $10).25 -1 = 3.42% 3(b). (12.30 / 10.00) (1/4) – 1 = 5.31% 3(c). 3(d). Ignoring commission, shares were purchased $10.69 and sold at 10.08, a return of 5.7% Change is NAV is $9.85 - $11.25 = $-1.40; the percentage change is $-1.40 / 11.25 = -12.44% 4(a). Client 1 .0100 × 5,000,000 = 50,000 .0075 × 5,000,000 = 37,500 .0060 × 10,000,000 = 60,000 .0040 × 7,000,000 = 28,000 27,000,000 175,500 Client 2 .0100 × 5,000,000 = 50,000 .0075 × 5,000,000 = 37,500 .0060 × 10,000,000 = 60,000 .0040 × 77,000,000 = 308,000 97,000,000 455,500 4(b). 175,500/27,000,000 = .0065 or 0.65% 455,000/97,000,000 = .004696 = 0.47% - 134 Copyright © 2010 by Nelson Education Ltd. Solutions for Chapter 17: Questions and Problems 4(c). Costs of management do not increase at the same rate as the managed assets because substantial economies of scale exist in managing assets. 5.(a). Beginning value = $27.15 × 257.876 = $7,001.33 Capital gain & dividends = $1.12 × 257.876 = 288.82 Ending value = $30.34 × 257.876 = 7,823.96 ($7,823.96 - $7,001.33) + 288.82 Return = = 15.87% $7,001.33 which can be computed on a per-unit basis: [($30.34 – 27.15) + 1.12] / $27.15 = 0.1587 or 15.87% Only the dividend distribution is taxable; the units are not yet sold so the change in NAV does not represent a taxable (realized) gain or loss: [($30.34 - 27.15) + 1.12(1 – 0.24)] / $27.15 = 4.04 / $27.15 = 0.1488 or 14.88% 5(b). 5(c). The investor received a distribution of $1.12 per unit which, at the year-end NAV, purchases $1.12/$30.34 = 0.036915 units. Since the investor owned 257.876 units, he can purchase 9.519 units (if there were no tax). If the distribution were taxable the after-tax distribution of $1.12 (1-.24) = $0.851 could purchase 0.0281 units—for a total of 7.235 units. 6. Stock A B C D E F G H I J K L M Cash Total Expenses Year 1 Shares (000) 100 225 375 115 154 175 212 275 450 90 87 137 0 price $45.25 $25.38 $14.50 $87.13 $56.50 $63.00 $32.00 $15.25 $9.63 $71.25 $42.13 $19.88 $17.75 Year 2 MV (000) Shares (000) $4,525.00 100 $5,710.50 225 $5,437.50 375 $10,019.95 115 $8,701.00 154 $11,025.00 175 $6,784.00 212 $4,193.75 275 $4,333.50 450 $6,412.50 90 $3,665.31 87 $2,723.56 0 $0.00 150 $3,542.00 $77,073.57 $730,000.00 - 135 Copyright © 2010 by Nelson Education Ltd. price $48.75 $24.75 $12.38 $98.50 $62.50 $77.00 $38.63 $8.75 $27.45 $75.38 $49.63 $27.88 $19.75 MV (000) $4,875.00 $5,568.75 $4,642.50 $11,327.50 $9,625.00 $13,475.00 $8,189.56 $2,406.25 $12,352.50 $6,784.20 $4,317.81 $0.00 $2,962.50 $2,873.00 $89,399.57 $830,000.00 Solutions for Chapter 17: Questions and Problems a. NAV = number in 000 Sum of market values + cash divided by 5,430,000 units $77,073.57 divided by 5,430 = $14.19 Note: NAV is (market value of assets – liabilities) /# units. Expenses are not included in this calculation b. NAV = number in 000 Percent change: c. Sum of market values + cash divided by 5,430,000 units $89,399.57 divided by 5,430 = 15.99% $16.46 # units = cash account / year 2 NAV = 174.502 units d. A B C D E F G H I J K L M Year 2 Shares (000) 100 225 375 115 154 175 212 275 450 90 87 0 150 Total value, shares only Amount to liquidate: Less cash: 7(a). price $48.75 $24.75 $12.38 $98.50 $62.50 $77.00 $38.63 $8.75 $27.45 $75.38 $49.63 $27.88 $19.75 MV (000) $4,875.00 $5,568.75 $4,642.50 $11,327.50 $9,625.00 $13,475.00 $8,189.56 $2,406.25 $12,352.50 $6,784.20 $4,317.81 $0.00 $2,962.50 % holding 5.63% 6.44% 5.37% 13.09% 11.12% 15.57% 9.46% 2.78% 14.28% 7.84% 4.99% 0.00% 3.42% $86,526.57 $16.31 x 8,230,000 minus Dollars to be sold $301,819.14 $344,770.33 $287,424.69 $701,303.86 $595,899.33 $834,259.06 $507,028.92 $148,974.83 $764,763.27 $420,020.80 $267,322.61 $0.00 $183,413.17 Number of shares sold 6,191.2 13,930.1 23,216.9 7,119.8 9,534.4 10,834.5 13,125.3 17,025.7 27,860.2 5,572.0 5,386.3 0.0 9,286.7 100.0% $5,357,000.00 500,000 = 2,873,000 = (1) 3% front-end load = $100,000 (1 - .03) = $97,000 $97,000 (1 + .12)3 = $97,000(1.4049) = $136,278 (2) a 0.50% annual deduction (assumed to be deducted at year-end) Year 1: $100,000(1 + .12) = $112,000 (1 - .005) = $111,440 Year 2: $111,440(1 + .12) = $124,812.80(1 - .005) = $124,188.74 Year 3: $124,188.74(1 + .12) = $139,091.38(1 - .005) = $138,395.93 (3) a 2% back-end load $100,000(1 + .12)3 = $100,000(1.4049) = $140,492.80 - 136 Copyright © 2010 by Nelson Education Ltd. $8,230,000 $5,357,000 Solutions for Chapter 17: Questions and Problems $140,492.80(1 - .02) = $137,682.94 Choice (2) with ending wealth of $138,395.93 7(b). (1) 3% front-end load = $100,000 (1 - .03) = $97,000 $97,000 (1 + .12)10 = $97,000(3.10585) = $301,267.28 (2) a 0.50% annual deduction $100,000(1 + .12) 10 (1 - .005) 10 = $100,000(3.10585)(.9511) = $295,400.54 (3) a 2% back-end load $100,000(1 + .12)10 = $100,000(3.10585) = $310,584.82 $310,584.82(1 - .02) = $304,373.12 Answer would change, now choice (3) with ending wealth of $304,373.12 7(c). A front-end load takes the money out right away, thus reducing your initial deposit. The annual fee is usually less than one percent, which is a small amount and based on the example the preferred choice for a holding period of three years. A back-end load is usually a smaller percentage than a front-end load, though the dollar amount has typically grown during the holding period. However, back-end loads are not due until the fund is liquidated, in this case, a long period of time. - 137 Copyright © 2010 by Nelson Education Ltd.