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Summary A set of just three Northern mutual funds, a bond, a large cap stock plus a mid cap fund generates good returns with relatively low risk. From January 2005 to January 2015, a Northern portfolio with fixed allocation could allow a safe 5% annual withdrawal rate with 1.36% increase of the capital. Same portfolio with rebalancing at 25% deviation from the target allowed a safe 5% annual withdrawal rate and 2.05% annual increase of the capital. Same portfolio with momentum-based adaptive allocation could have produced a safe 10% annual withdrawal rate and 1.26% annual increase of the capital. This article belongs to a series of articles dedicated for investing in various mutual fund families. In previous articles we reported our research on Fidelity , Vanguard , T Rowe Price , American Century , and Schwab mutual fund families. The current article does the same for Northern family of mutual funds. In addition, this article is the first in which a detailed study of the volatility of the returns using Sharpe and Sortino’s ratios is included. The series of these articles is aimed at a broad spectrum of investors. They may be useful to small individual investors as well as to any large institution managing retirement accounts. The general methodology we use in selecting the funds for the portfolio was presented in a previous article. The portfolio includes three funds: one bond fund and two equity funds. The equity funds are complementary: one covers large capitalization; the other fund contains medium capitalization stocks. The mutual funds selected for investment are the following: Northern us Treasury Index fund (MUTF: BTIAX ) Northern Stock Index fund (MUTF: NOSIX ) Northern Mid Cap Index fund (MUTF: NOMIX ) As in the previous articles, three different strategies are considered: (1) Fixed asset allocation. The portfolio is initially invested 50% in the bond fund and 50% equally divided between the two stock funds, without rebalancing. (2) Target asset allocation with rebalancing. The portfolio is initially invested 50% in the bond fund and 50% equally divided between the two stock funds and is rebalanced when the allocation to any fund deviates by 25% from its target. (3) Momentum-based adaptive asset allocation. The portfolio is at all times invested 100% in only one fund. The switching, if necessary, is done monthly at closing of the last trading day of the month. All money is invested in the fund with the highest return over the previous 3 months. The data for the study were downloaded from Yahoo Finance on the Historical Prices menu for three tickers: BTIAX, NOSIX, and NOMIX. We use the monthly price data from January 2005 to January 2015, adjusted for dividend payments. The paper is made up of two parts. In part I, we examine the performance of portfolios without any income withdrawal. In part II, we examine the performance of portfolios when income is extracted periodically from the accounts. Part I: Portfolios without withdrawals We report the performance of the portfolios under two scenarios: (1) no withdrawals are made during the time interval of the study, and (2) withdrawals at a fixed rate of the initial investment are made periodically. In table 1 we show the results of the portfolios managed for 10 years, from January 2005 to January 2015. Table 1. Portfolios without withdrawals 2005 – 2015. Strategy Total increase% CAGR% Number trades MaxDD% Fixed-no rebalance 93.45 6.82 0 -21.87 Target-25% rebalance 104.52 6.36 3 -31.09 Momentum-Adaptive 224.84 12.84 39 -13.35 In table 2 we show the results of a study on the volatility of the returns, including the much celebrated Sharpe and Sortino ratios. For completeness we give the definitions of these ratios. Sharpe ratio is the ratio of the compound annual growth rate (CAGR%) and the volatility of the returns (VOL%), where the volatility is defined as the annualized standard deviation of the returns. Sortino ratio is the ratio of the compound annual growth rate (CAGR%) and the volatility of the negative returns (NEG VOL%), where the volatility is defined as the annualized standard deviation of the negative returns. Table 2. Volatility performance of portfolios without withdrawals 2005 – 2015. Strategy CAGR% VOL% NEG VOL% Sharpe Sortino MaxDD% Fixed-no rebalance 6.82 7.18 6.29 0.95 1.08 -21.87 Target-25% rebalance 7.42 7.61 6.51 0.98 1.14 -31.09 Momentum-Adaptive 12.84 10.46 7.24 1.23 1.77 -13.35 By analyzing these results, one can see that the target portfolio has higher Sharpe and Sortino ratios than the fixed portfolio. On the other hand, the fixed portfolio has much lower maximum drawdown than the target portfolio. Which one is a better metric of risk: the volatility or the maximum drawdowns? Most investors, including the author of this article, are mostly concerned about large drawdowns, and pay less attention to Sharpe or Sortino ratios. The time evolution of the equity in the portfolios is shown in Figure 1. (click to enlarge) Figure 1. Equities of portfolios without withdrawals. Source: This chart is based on EXCEL calculations using the adjusted monthly closing share prices of securities. From figure 1 it is apparent that the rate of increase of the adaptive portfolio is substantially greater than the rate of the fixed and target allocation portfolios. Part II: Portfolios with withdrawals Assume that we invest $1,000,000 for income in retirement. We plan to withdraw monthly a fixed percentage of the initial investment. That amount is increased by 2% annually in order to account for inflation. In table 3 we show the results of the portfolios managed for 10 years, from January 2005 to January 2015. Money was withdrawn monthly at a 5% annual rate of the initial investment plus a 2% inflation adjustment. Over the 10 years from January 2005 to January 2015, a total of $535,920 was withdrawn. Table 3. Portfolios with 5% annual withdrawal rate 2005 – 2015. Strategy Total increase% CAGR% Number trades MaxDD% Fixed-no rebalance 14.51 1.36 0 -25.27 Target-25% rebalance 22.51 2.05 2 -26.77 Momentum-Adaptive 111.84 8.22 38 -16.56 The time evolution of the equity in the portfolios is shown in Figure 2. (click to enlarge) Figure 2. Equities of portfolios with 5% annual withdrawal rates. Source: This chart is based on EXCEL calculations using the adjusted monthly closing share prices of securities. To illustrate the advantage of the adaptive allocation strategy and the effect of withdrawal rates on the evolution of the capital, we give in Table 4 the results of simulations for the following withdrawal rates: 0%, 5%, 8%, and 10%. Table 4. Adaptive Portfolios with various annual withdrawal rates 2005 – 2015. Withdrawal rate % Total increase% CAGR% MaxDD% 0 224.84 12.84 -13.35 5 111.84 8.22 -13.97 8 52.33 4.53 -16.56 10 12.67 1.26 -20.25 The time evolution of the equity in the portfolios is shown in Figure 3. (click to enlarge) Figure 3. Equities of momentum-based portfolios with various annual withdrawal rates. Source: This chart is based on EXCEL calculations using the adjusted monthly closing share prices of securities. Conclusion The set of three Northern mutual funds, selected for this study, perform well for all three strategies and generate sustainable returns at relatively low drawdowns. Between 2005 and 2015, the fixed target allocation with rebalancing was able to sustain withdrawal rates of up to 5% annually. The adaptive allocation algorithm was able to sustain withdrawal rates up to 10% annually without any decrease of capital. Additional disclosure: This article is the sixth in a sequence on investing in mutual funds for retirement accounts. To help the reader compare the past performance of various mutual fund families, I selected a benchmark 10-year time interval starting on 1 January 2005 and ending on 31 December 2014. The article was written for educational purposes and should not be considered as specific investment advice. Disclosure: The author has no positions in any stocks mentioned, and no plans to initiate any positions within the next 72 hours. (More…) The author wrote this article themselves, and it expresses their own opinions. The author is not receiving compensation for it (other than from Seeking Alpha). The author has no business relationship with any company whose stock is mentioned in this article. Scalper1 News
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