Team 6 Bingjian Huang Kimberly Chau Paul Medvinsky Final Report Overview The main strategy that we pursued in our portfolio was a midcap pure growth strategy. Our asset universe consisted solely of stocks from the s&p midcap 400-pure growth index. We used fundamental analysis as the selection criteria for the stocks and the single index model in an attempt to find the positive excess return (alpha) on each selected stock. Technical Analysis was used after the purchase to determine whether to keep the stock or sell it. Diversification and Portfolio Size Unsystematic risk is the risk we can diversify by adding enough stocks into a portfolio. In this case, we constructed a portfolio with optimal diversification, rather than naïve diversification. Therefore, potential benefits from diversification arise when correlation is less than perfectly positive. We would prefer having some stocks with a negative correlation to curb risk. We chose between 10-20 stocks in the first stock selection to construct our base portfolio and then we added 10 more stocks in the portfolio based on our performance. On average, we had around 15 stocks in our portfolio. Our main purpose is not only for diversification, but also to find out 20 stocks with highest positive excess return (alpha) through single index model. Figure 1 Coefficient Correlation Matrix Table Investment Strategy & Investment Style 80% of our fund was allocated to equities. Our asset universe was constructed from s&p midcap 400-pure growth index across seven sectors in order to achieve the purpose of diversification. 20% of our fund was reserved in cash. To ascertain what stocks we would be looking at, we looked at individual sectors and compiled a list of a few stocks from cross sectors. Then, we researched some stocks from the healthcare, construction, technology, and consumer materials sectors in order to make our list. In our case, Financial Statement Analysis was used for the stock selection in order to see if a company generated healthy incomes in the past, compared with its competitors in the same industries. So what we focused on were the liquidity and interest coverage ratios since they are important in evaluating the riskiness of a firm's securities. For liquidity ratios, it includes the current ratio, quick ratio, and cash ratio. For interest coverage ratio, a high coverage ratio indicates that the likelihood of bankruptcy is low because annual earnings are significantly greater than annual interest obligations. Moreover, we also used leverage ratio because financial leverage helps boost ROE only if ROA is greater than the interest rate on the firm's debt. The price to book value, price to sales, and P/E were also useful ratios for us. We used the forward PE ratio, comparing the PE of the whole industry to determine if the stock has potential to grow. After finding out promising stocks in different industries, we made a coefficient matrix table to see how those selected stocks correlate to each other, so as to diversify our portfolio based on their correlation coefficients. In fact, financial statements can tell us if a company is healthy or not, but nothing on return. Low correlation stocks were preferable in the portfolio. Initially, we used the single index model to identify the stocks with ex-ante risk-adjusted excess return (alpha). However, we found out that it was hard to tell the statistical significance of the alpha. So we didn’t incorporate it after a few trades. Technical Analysis was also a huge factor in our assessments after the stock’s selection. We used relevant strength to pinpoint how strong our stock’s price is compared to others in that industry. We looked at chart patterns to determine points of support and resistance. We looked at primary, secondary, and tertiary trends to figure out when the best time to buy a stock is so that we didn’t buy it when it’s in a historically downtrend state. Also, 20 day moving averages were utilized to determine points of purchase. Performance and Asset Allocation However, things did not turn out the way we expected. Our portfolio’s average return is -0.02% and the Sharpe ratio is -0.032. Without a doubt, diversification is the main core of our stock selections. In the first trading day, we picked stocks based on their financial statement ratios, comparing them to their competitors. After that, we ran the coefficient matrix table to see how they correlated to each other for the past 3 months. So our portfolio initially contained 20 stocks. Surprisingly, the overall performance of our portfolio underperformed in the first trading day. We kept track of our portfolio and found out there was one stock extremely volatile, STRA. It went down 5% within the first 2 hours and went down another 8% before closing. Besides that, the volatilities of the other stocks were almost offset by each other. Based on the first day observation, we realized that the diversification and the correlation matrix table worked, but it didn’t help us with the volatility of individual stocks. Thus, the covariance matrix table was used after that to identify the correlation and standard deviation of each two stocks. Most importantly, lack of risk management strategies made our portfolio become much worse than it should have been. In the end, our portfolio underperformed the benchmark, Guggenheim S&P Midcap 400 Pure Growth (RFG) according to the ratios on the table. Even though the standard deviation and the Beta of our portfolio are lower than the benchmark, 0.335% of high residual risk undermined our efforts of reducing the overall volatility of our portfolio. Our portfolio did not generate a positive average return; average return of our portfolio is -0.02%, compared to 0.059% of the benchmark. According to M-Square, the Sharpe ratio of our portfolio with the benchmark’s standard deviation was -0.833, which is lower than the benchmark’s. Based on the Treynor ratio, the Treynor ratio of our portfolio is -0.0094 which is lower than -0.0044 of the benchmark. Figure 2 Portfolio Attributions According to Portfolio Attribution Table, 0.085% of extra return was due to asset allocation and -0.06% of the extra loss was due to selection. We did make a good decision on asset allocation. Most of our fund was invested in equity and cash, which generated the highest return among equity, bonds and cash. However, we suffered -0.06% of extra loss due to selection within 2 months. Lack of risk management techniques and skills in stock selection at the beginning of the game made us underperform the index. Risk Management and Lessons from Trading After suffering losses, we realized the importance of risk management strategies such as stop orders and position limits. We have also ignored the fact that pure growth stocks are extremely volatile so that our portfolio was at risk if stop losses weren’t set. Thus, we checked the volatilities of each individual stock by using Bollinger Bands whose bands are plotted two standard deviations away from a simple moving average. By looking at Bollinger bands of a stock, it was easier to tell how wide the stock’s movement would be so that we were able to take the stocks with high volatility out of our portfolio. After that, we reselected stocks based on the research reports from ValueLine, Mergent and S&P500. We refocused on the midcap pure growth stocks with moderate volatility. And then we set up stop loss for each of stocks in order to protect our investment. An example of a risky decision which we will longer make is the stock core logic Inc. “CLGX.” Core Logic deals with residential and commercial title insurance. With the recent turnaround of the real estate market and the stock making higher highs since January, we thought that this stock would be a good bargain. Here is the chart for this stock and the arrow points to the price of purchase. We bought the stock at this point based on the fact that we were expecting a turnaround. We set up a stop loss at $24.95 and decided to take our losses. Position limits are another important strategy for protecting our investments. Thus, we diversified our portfolio by keeping around 10-15 stocks at a time. We allocated around $380,000 to each stock. However, we also kept some reserves in cash, usually around $2 million in cash. Likewise, we initially made a mistake on our investment policy statement regarding the stock selection. In reality, dividend yield is one of the measurements for pension fund managers in stock selection. Even though, dividends were obviously not received in this portfolio, there was a positive correlation in our asset universe between positive price movements and dividend yields. In other words, holding a valued stock with potential growth and higher dividend yields is better than the one without dividend yields. Dividend yield should have been one of our measurements in stock selection even though we didn’t consider it. As a matter of fact, half of the stocks in our portfolio which generated low or zero dividend yields tended to perform badly over the past 3 months. Why We Should be Retained Admittedly, our ignorance in risk management and stock selection resulted in huge losses in the beginning and made our Sharpe ratio go down to negative eight. However, as you can tell from this chart, we learned from our mistakes pretty quickly. After suffering huge losses on the first few days, we realized the importance of stock volatilities and reconstructed our portfolio under the consideration of correlation and covariance of two different stocks. In order to prevent substantial losses, risk management techniques such as stop orders and position limits were brought into play. Our stock performance was getting better and better, as evident by the increasing Sharpe Ratio of our portfolio over the time period. The Sharpe Ratio of our portfolio actually went up from -8 to -0.65 as of Feb 25. For instance, on March 15, all of our stocks were rallying on that day. Instead of picking more stocks to invest, we decided to increase the weight of the bullish stocks like PKG and RMD by 50% and reduce the weights of those stocks back to what it used to be after the rally. We ended up with substantial gains on rally days. This portfolio only ran for a period of 3 months. However, midcap pure growth equities do well over a long-term period and are very volatile in the short term; therefore we should be retained for a longer period of time. Asset Universe (34 stocks) S&P MidCap 400 Pure Growth 1. Consumer Discretionary AMC Networks Inc.-A American Eagle Outfitters ANN Inc. Ascena Retail Group Inc. Carters Inc Chico's Fas Inc Dick's Sporting Goods Inc Foot Locker Inc Hanesbrands Inc HSN Inc Jarden Corp PVH Corp Service Corp Intl Tractor Supply Co Under Armour Inc A AMCX AEO ANN ASNA CRI CHS DKS FL HBI HSNI JAH PVH SCI TSCO UA 2. Energy HollyFrontier Corporation HFC 3. Financials Signature Bank NY SBNY 4. Health Care Regeneron Pharmaceuticals Inc ResMed Inc United Therapeutics Corp REGN RMD UTHR 5. Industrials Alaska Air Group Inc AMETEK Inc Clean Harbors Inc Lennox International Inc Terex Corp Valmont Industries Inc Wabtec ALK AME CLH LII TEX VMI WAB 6. Information Technology Alliance Data Systems Corp NeuStar SolarWinds Inc Trimble Navigation Ltd ADS NSR SWI TRMB 7. Materials NewMarket Corp Packaging Corp of America Royal Gold Inc NEU PKG RGLD