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Consider a 2 asset portfolio with 60% in Google Inc. (GOOG) and 40% in John Deere (DE). Google has a standard deviation...

Consider a 2 asset portfolio with 60% in Google Inc. (GOOG) and 40% in John Deere (DE). Google has a standard deviation of 60%, John Deere has a standard deviation of 45% and their correlation is 0.2. What is the standard deviation of returns of the portfolio?

You bought 200 shares of Microsoft at $50 per share, 100 shares of IBM for $100 a share and 300 shares of Amazon.com for $25 per share. What is the portfolio weight on the Amazon.com holding?

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Answer #1

Portfolio SD :

A = Google

B = John Deere

Given Details
Particulars Amount
Weight in A 0.6
Weight in B 0.4
SD of A 60%
SD of B 45%
r(1,2) 0.2
Portfolio SD = SQRT[((Wa*SDa)^2)+((Wb*SDb)^2)+2*(wa*SDa)*(Wb*SDb)*r(1,2)]
=SQRT[((0.6*0.6)^2)+((0.4*0.45)^2)+2*(0.6*0.6)*(0.4*0.45)*0.2]
=SQRT[((0.36)^2)+((0.18)^2)+2*(0.36)*(0.18)*0.2]
=SQRT[0.18792]
43.35%

Part B:

Share Qty Price Investment
Microsoft 200 50 10000
IBM 100 100 10000
Amazon 300 25 7500
Total Invesstment 27500

Amzon weight in Portfolio = Inv in Amazon / Total Invetsment

= 7500 / 27500

= 0.2727 i.e 27.27%

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