Thursday, April 7, 2011
An understanding of your brain functioning could improve your investment performance.
Sunday, March 13, 2011
Think you can invest without help? Think again.
Sunday, March 6, 2011
AWM analysis of weighting of US/International Stocks
I recently had my University of Buffalo graduate student of financial engineering, Shwetha Narayan Iyengar complete an analysis on the diversification effect of adding international stock to a stock portfolio.
The study summarized below is not a recommendation , rather it shows how adding international stocks can reduce overall risk and improve return.
There is debate on how much non-us stock should be in stock portfolio. The results do seem to support those that argue that investors should hold stocks in proportion to their weighting in the mix of all stocks issued by all nations. The US currently makes up about 45% of the global capital market.
Keep in mind that this analysis does not include emerging markets or factor in value or small cap effects. It does support a diversification into international stocks when building your stock portfolio.
The summary:
Analysis of total US market vis-à-vis the other developed markets in a portfolio.
The CRSP 1-10 Index represents the total US cap weighted equity market. It measures the performance of all stocks aggregated across NYSE, AMEX and NASDAQ markets, spilt in deciles from large cap to small cap. MSCI EAFE index measures the equity market performance of developed markets outside of the U.S. & Canada and includes Europe, Australia, New Zealand (Australasia) and Middle East
Annualized returns and Standard deviation (measure of risk/volatility) for CRSP and EAFE for a period from 1970- 2010 are as provided below,
| Annualized | Returns | STD deviation |
| CRSP1-10 | 9.88% | 16.13% |
| EAFE | 9.94% | 17.25% |
Portfolio with 45/55 ratio of CRSP 1-10/EAFE gives the highest return for risk ratio (Sharpe ratio) and to further validate, a Monte -Carlo simulation value averaged over 3 independent simulations provides a higher value at 90 percentile or 10% probability of going above the value. (Monte Carlo is a statistical tool that will estimate probable outcomes for a particular set of risk and return inputs)
| Weights | ||||||||||
| CRSP1-10 | 55% | 60% | 65% | 70% | 75% | 80% | 85% | |||
| EAFE | 45% | 40% | 35% | 30% | 25% | 20% | 15% | |||
| Return Portfolio | 10.196% | 10.185% | 10.168% | 10.145% | 10.116% | 10.081% | 10.040% | |||
| Std deviation Portfolio | 14.910% | 14.899% | 14.926% | 14.989% | 15.089% | 15.226% | 15.400% | |||
| Sharpe ratio | 0.311938 | 0.311430 | 0.309728 | 0.306892 | 0.302936 | 0.297911 | 0.291883 | |||
| | | | | | | | | |||
| Wealth at retirement (90-percentile) from Monte Carlo simulation | ||||||||||
| Scenario 1 | $4,893,889 | $4,590,990 | $4,450,640 | $4,763,008 | $4,428,423 | $4,755,993 | $4,338,645 | |||
| Scenario 2 | $4,593,936 | $4,237,107 | $4,514,705 | $4,570,777 | $ 4,709,112 | $4,748,913 | $ 4,483,666 | |||
| Scenario 3 | $4,610,162 | $4,517,348 | $ 4,627,469 | $4,369,035 | $ 4,385,526 | $ 4308,407 | $ 4,631,853 | |||
| Average, Wealth at retirement (90-percentile) MonteCarlo simulation | $4,699,329 | $4,448,482 | $4,530,938 | $ 4,567,607 | $ 4,507,687 | $4,604,438 | $ 4,484,721 | |||
The most optimum scenario is 55/45 portfolio. A higher weighting of CRSP 1-10 reduces the Sharpe ratio, the return and the final value of the portfolio. If the analysis is expanded using higher weights for the MSCI EAFE and lower weight for CRSP 1-10 , the result does not vary much and the most optimum portfolio still remains as 55/45 .
Saturday, February 19, 2011
Start saving and planning before its too late: WSJ 2/19/2011
Monday, February 14, 2011
Monte Carlo and Your Probabilty of Success
Are You saving enough for retirement?
How much can you withdraw from your retirement portfolio?
A retirement savings/investment plan should take into account how much you are saving, how that money is invested, and what your spending will be in retirement.
Monte Carlo simulators have been around since World War II, and with the power of personal computers, it is available to financial planners. Monte Carlo will use the historical risk and return characteristics of your investment portfolio , combined with your anticipated withdrawals, and simulate 10,000 different possibilities in order to give probabilities of success.
Monte Carlo will produce outcomes much different than assuming your money will grow at a constant return. Constant returns do not occur in the real world. Investors do not receive a constant 7% or 8% on their investment portfolio. One year they may be up 12%, the next down 3% etc. Over time, the average may be 7% but the ups and downs result in very different outcomes, especially when one is withdrawing money every year from the portfolio.
Years of study by academics and financial planners using monte carlo analysis has shown that withdrawing more than 4% per year out of a 50% stock/50% bond portfolio could result in a retiree running out of money before he/she dies.
The important point in all the analysis is that there is no investment magic that will allow a retiree to withdraw more than 4% per year and not risk running out of money in retirement. That is why it is important to develop a savings plan before retirement in order to build enough savings so that you can live the lifestyle you want in retirement.