text: # Variance of 2 Asset Portfolio Question
  
  I am confused with a calculation with finding the variance of a 2 asset portfolio return (asset a and b) from the Schweser material.
  
  Part of the formula says o^2 (Ra) - with o representing standard deviation and Ra representing the expected return of asset A.
  
  Yet, when I look at examples of this formula being used, it appears this term (listed above) is being substituted for the Variance of Ra. I dont understand how these two terms are equal/substitutable. Thanks in advance
  
  Var(A;B) = wA * Var(A) + wB * Var(B) + 2 * wa * wB * Std(A) * Std(B) * Corr(A;B)
  
  with
  
  Cov(A;B) = Std(A)*Std(B)*Corr(A;B)
  
  So you could also write:
  
  Var(A;B) = wA * Var(A) + wB * Var(B) + 2 * wa * wB * Cov(A;B)
  
  The first and the last formula are interchangeable.
  
  I think σ^2 (Ra) means the variance of asset a; are you interpreting it as σ^2 times Ra?
  
  The weights go squared for the variances, so it would be: wA^2 and wB^2
  
  Firstly my tip is to look at the formula in the curricullum whenever you are unseure or something in schweser does not make sense.
  
  o^2 = variance
  
  So it does not matter whether you write o^2 or variance, as long as its:
  
  W = weight
  
  V = variance
  
  Covab = covariance
  
  (Wa^2 x Va) + (Wb^2 x Vb) + (2 x Wa x Wb x Covab)
explanation: The text extract contains a math question related to the variance of a 2-asset portfolio. The user is confused about the substitution of the standard deviation squared (σ^2) with the variance in the formula. The extract also includes an explanation and a detailed formula for the variance of a 2-asset portfolio, which serves as an answer to the question.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
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  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Variance of 2 Asset Portfolio Question
  
  I am confused with a calculation with finding the variance of a 2 asset portfolio return (asset a and b) from the Schweser material.
  
  Part of the formula says o^2 (Ra) - with o representing standard deviation and Ra representing the expected return of asset A.
  
  Yet, when I look at examples of this formula being used, it appears this term (listed above) is being substituted for the Variance of Ra. I dont understand how these two terms are equal/substitutable. Thanks in advance
  
  Var(A;B) = wA * Var(A) + wB * Var(B) + 2 * wa * wB * Std(A) * Std(B) * Corr(A;B)
  
  with
  
  Cov(A;B) = Std(A)*Std(B)*Corr(A;B)
  
  So you could also write:
  
  Var(A;B) = wA * Var(A) + wB * Var(B) + 2 * wa * wB * Cov(A;B)
  
  The first and the last formula are interchangeable.
  
  I think σ^2 (Ra) means the variance of asset a; are you interpreting it as σ^2 times Ra?
  
  The weights go squared for the variances, so it would be: wA^2 and wB^2
  
  Firstly my tip is to look at the formula in the curricullum whenever you are unseure or something in schweser does not make sense.
  
  o^2 = variance
  
  So it does not matter whether you write o^2 or variance, as long as its:
  
  W = weight
  
  V = variance
  
  Covab = covariance
  
  (Wa^2 x Va) + (Wb^2 x Vb) + (2 x Wa x Wb x Covab)
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract contains a math question related to the variance of a 2-asset portfolio. The user is confused about the substitution of the standard deviation squared (σ^2) with the variance in the formula. The extract also includes an explanation and a detailed formula for the variance of a 2-asset portfolio, which serves as an answer to the question.
  
  Label: question-and-answer