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# Standard Deviation, correlation coefficient

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Use the attached spreadsheets for Coca-Cola, Citigroup, and Pfizer.

a) Calculate the annual standard deviation of returns for each company, using the most recent three years of monthly returns. Use the Excel function STDEV. Multiply by the square root of 12 to convert to annual units.

b) Use the Excel function CORREL to calculate the correlation coefficient between the monthly returns for each pair of stocks.

c) Calculate the standard deviation of returns for a portfolio with equal investments in each of the three stocks.

#### Solution Preview

Use the attached spreadsheets for Coca-Cola, Citigroup, and Pfizer.
a) Calculate the annual standard deviation of returns for each company, using the most recent three years of monthly returns. Use the Excel function STDEV. Multiply by the square root of 12 to convert to annual units.

Standard deviation of Monthly return using STDEV Annual standard deviation of returns

Coca-Cola 4.7824% 16.57% =4.7824%x square root of 12
Citigroup 13.9445% 48.31% =13.9445%x square root of 12
Pfizer 5.8768% 20.36% =5.8768%x square root of 12

b) Use the Excel function CORREL to calculate the correlation coefficient between the monthly returns for each pair of stocks.

Correlation Coefficient using CORREL

Coca-Cola and Citigroup 0.3756
Coca-Cola and Pfizer 0.2389
Citigroup and Pfizer 0.4986

Correlation matrix

Coca-Cola Citigroup Pfizer
Coca-Cola 1 0.3756 0.2389
Citigroup 0.3756 1 0.4986
Pfizer 0.2389 0.4986 1

c) Calculate the standard deviation of returns for a portfolio with equal investments in each of the three stocks.

There are two methods to calculate the ...

#### Solution Summary

Calculates Standard Deviation of return on three stocks, correlation coefficient between the montly returns for each pair of stocks, and Standard Deviation of a portfolio composed of these three stocks using excel spreadsheet functions STDEV, CORREL.

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