WEBVTT

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In this video we are going to compare the three indexes that we created and the last videos and we will

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figure out how and why the performance of those indexes is different.

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And we are still important.

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The non data frame.

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So here we have our six constituents and our three indexes.

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And first of all let's visualize our three indexes.

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So we select the very last three columns here and we use the plot method as always

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so here we have our three indexes.

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And we can see here in blue our price weighted index which is actually our chosen the best performance

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at least in terms of return so all indexes are starting here into 14 at the base value of 100.

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And the price weighted index actually closes here at the end of two eighteen at the highest price.

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Then we effort the second highest the price here are the second highest performance shows the evaluated

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and next and red and the poorest performance at least in terms of return shows here in green.

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The Equal Weighted Index.

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And that's again have a look at the normalized graph for our six constituents.

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So we are plotting the six constituencies without the indexes and actually this is nothing new.

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So the best performance at least in terms of the return shows here the Amazon stock.

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And then on the second ring the Microsoft stock and it's actually no surprise that the price weighted

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index shows here the best return because on the price weighted index.

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The weight of the best performing constituents.

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So the Amazon stock is the highest.

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So let's have a look at the weights in the price weighted index so here we have clearly a concentrated

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position in the Amazon stock because the Amazon price is the highest over the whole term here.

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And also if we have a look at the evaluated index weights so also here we have kind of a concentrated

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positions in the stocks Amazon and Microsoft.

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And as those two stocks are the best performing stocks at least in terms of return then it's actually

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no surprise that also here devaluate it in next and read to performs better than the equal weighted

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index.

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And finally we have the equal weighted index.

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And here we have uh the lowest return or the poorest performance because then the equal weighted index

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we have actually the lowest rates for the best performing Amazon stock and the Microsoft stock.

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So here we have one divided by six.

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For stocks as a weight.

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So let's again have a look here.

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This is a no brainer.

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All right now let's go on and let's calculate the annualized return and the annualized risk for our

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constituents and also for the three indexes.

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So again here we're creating the summary data frame with the mean and standard deviation of daily returns.

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And we need to rename the columns to return and risk and we actually annualize return on risk.

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So this is nothing new here so let's have a look and it's always a graph is more intuitive than a bunch

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of numbers.

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So we are plotting here the risk return profile of our nine securities here.

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So let's do this

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and we can see here that the price weighted index shows them the highest return and also the highest

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risk because of the price weighted index is actually dominated by the Amazon stock which has the by

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far the highest risk and the highest return.

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Then we have fear the value weighted index which still shows here a higher risk and a higher return

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than the equal weighted index.

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And also here this is simply because of the weights of the Microsoft stock and the Amazon stock.

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So these stocks shows the highest the risk but also the highest return.

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So the rates of these two stocks are higher here in the evaluated next so than in the equal weighted

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index.

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And finally we have the equal weighted index that shows uh the lowest risk but also the lowest return.

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But we could say that in the equal weighted index we have the highest degree of diversification.

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And what you can also see here that with our indexes or with our portfolios here you can create a different

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and unique risk return profile.

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So then compared to the single stocks.

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So in general it's desirable to have a low risk and high return.

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So to be on the left upper corner here and we definitely get the impression here that with our indexes

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we get here more to the upper left corner.

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So to have a better performance in terms of risk and return.

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And this is a portfolio effect and we will have a much deeper look into portfolios in the next two sections.

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But for the time being we are not finished with this video and I hope to see you also in the next one

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by.
