Hello, I have been struggling

Hello, I have been struggling with the problem for a while now.Can someone please assist? I cannot find the data online much lesscalculate the standard deviation.

1. Go to finance.yahoo.com and find them monthly rates of returnover a 2 year period for five companies of your choice. Now assumeyou form each month an equally weighted portfolio of five firms (aportfolio with equal investments in each firm). What is the rate ofreturn each month on your portfolio? Compare the standard deviationof the monthly portfolio return to that of each and to the averagestandard devation across the five firms. What do you conclude aboutthe portfolio diversification?

Answer:

Go to finance yahoo’s page on any stock, then go to historicaldata and select time period of 2 years, along with frequency asmonthly, and download it as an excel sheet. Make sure no stocksplits or bonuses were given out for that time period (otherwisestock prices would need to be adjusted).

For your convenience, i’ve done Amazon, Microsoft, Twitter,Facebook and Apple.

For portfolio construction, you need to assign equal weights bymultiplying each stock’s price by 0.2 and adding the sum ofeach.

The return on each month is given by (price in month – price inpreceding month) / price in preceding month.

Once the returns are calculated in percentage terms, just runthe standard deviation formulas on each stock along with theportfolio.

See how it looks in excel:

So the standard deviation of returns of portfolio is 5.42% whilethe average of the stocks individually gives 7.17%.

Thus we can conclude that diversification leads tolowering of risk.

Sources

https://finance.yahoo.com/quote/AMZN/history?period1=1467311400&period2=1532802600&interval=1mo&filter=history&frequency=1mo
https://finance.yahoo.com/quote/AAPL/history?period1=1467311400&period2=1532802600&interval=1mo&filter=history&frequency=1mo
https://finance.yahoo.com/quote/TWTR/history?period1=1467311400&period2=1532802600&interval=1mo&filter=history&frequency=1mo
https://finance.yahoo.com/quote/FB/history?period1=1467311400&period2=1532802600&interval=1mo&filter=history&frequency=1mo
https://finance.yahoo.com/quote/MSFT/history?period1=1467311400&period2=1532802600&interval=1mo&filter=history&frequency=1mo

 
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