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Security Analysis and Portfolio Management




                    Notes          6.8.3 Moving Averages

                                   Most chart patterns show a lot of variation in price movement. This can make it difficult for
                                   traders to get an idea of a security's overall trend. One simple method traders use to combat this
                                   is to apply moving averages.
                                   A moving average is the average price of a security over a set amount of time. By plotting a
                                   security's average price, the price movement is smoothed out. Once the day-to-day fluctuations
                                   are removed, traders are better able to identify the true trend and increase the probability that
                                   it will work in their favour.

                                   Types of Moving Averages

                                   Moving Averages may be of following types

                                   1.  Simple Moving Average (SMA): This is the most common method used to calculate the
                                       moving average of prices. It simply takes the sum of all of the past closing prices over the
                                       time period and divides the result by the number of prices used in the calculation.
                                       For an instance, in a 10-day moving average, the last 10 closing prices are added together
                                       and then divided by 10. As you can see in Figure 6.15, a trader is able to make the average
                                       less  responsive to changing prices  by increasing  the  number  of periods  used  in the
                                       calculation. Increasing the number of time periods in the calculation is one  of the best
                                       ways to gauge the strength of the long-term trend and the likelihood that it will reverse.
                                                                     Figure  6.15





















                                   2.  Exponential Moving Average (EMA): This moving average calculation uses a smoothing
                                       factor to place a higher weight on  recent data  points and  is regarded as much more
                                       efficient than the linear weighted average. Having an understanding of the calculation is
                                       not generally required for most traders because most charting packages do the calculation
                                       for you. The most important thing to remember about the exponential moving average is
                                       that it is more responsive to new information relative to the simple moving average. This
                                       responsiveness  is one  of the key factors  of why this is the moving  average of choice
                                       among many technical traders.
                                       (a)  Linear Weighted Average: This moving average indicator is the least common out of
                                            the three and is used to  address the problem of  the equal weighting. The linear
                                            weighted moving average is calculated by taking the sum of all the closing prices
                                            over a certain time period and multiplying them by the position of the data point
                                            and then dividing by the sum of the number of periods.




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