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Computational Investing I Notes: CAPM: What is beta?

072 CAPM: What is beta?

ri = βi*rmarket + αi
  • αi is information unique to the stock
    • Maybe it's exploitable
    • E(αi) = 0
  • Assume:
ri(t) = βi*rm(t) + αi
  • Use linear regression to find βi and αi
  • Beta & correlation are different
  • Two assets may be correlated but have different correlation
  • Correlation goes from -1 to 1
  • Correlation measures the width of the point cloud
  • CAPM:
  • ri(t) = βi*rm(t) + αi
  • ri(t) = βi*rm(t) + random
  • E(αi) = 0
  • Active Portfolio Management View:
  • ri(t) = βi*rm(t) + αi
  • αi is somewhat predictable, therefore exploitable