PBOR, Chapter 3: Why do we need to multiply the increment with the probability mass?

Discussion in 'CM2' started by zusammen, Jul 26, 2022.

  1. zusammen

    zusammen Member

    I've been doing the PBOR for Chapter 3. In some questions (Question 3, part (iv): Risk-averse and risk-seeking, for example) we are asked to, say, 'calculate the probability of each asset yielding a return within each increment'. However, the answer multiplies the increment with the probability mass function. I don't understand why this must be done.

    Thanks and best regards,
     
  2. Steve Hales

    Steve Hales ActEd Tutor Staff Member

    Hi.
    Actually, it's the probability density function which is being multiplied by the width of the increment - this produces the probability mass. The comment in the column heading says: "To calculate the probability of obtaining a return within each increment, we have taken the probability density (PDF) and multiplied by the width of the increment (h)."
    Hope that helps.
     

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