Utility Function

Utility Function

Last Updated on 2020-04-10 by Admin

Notes

* averse: having a strong dislike of or opposition to something.

* risk-averse: disinclined or reluctant to take risks.

  • Utility can be thought of as level of satisfaction (happiness).
  • Risk Averse (A>1).
  • Risk Neutral (A=0).
  • Risk Seeker (A<1).
  • A single investor’s indifference curves can never intersect.
  • The steeper the indifference curve the more risk averse the investor.

 


Formula

 

$$ \begin {aligned} U &= E(r) \; – \left [ { 1 \over 2 } A \sigma^2 \right ] \end {aligned} $$

Where;

  • U = Utility.
  • E(r) = Expected Return.
  • A = Coefficient of Risk.
  • σ = Standard Deviation (Risk).
  • σ2 = Standard Deviation (Risk)2 = Variance of Returns.

 


Calculator

 

Decimal Format (i.e. 7% = 0.07)
Factor (i.e. 5.0)
Decimal Format (i.e. 5% = 0.05)
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