Page 45 - FINAL CFA I SLIDES JUNE 2019 DAY 11

LOS 41.h: Explain the selection of an optimal Session Unit 12:
portfolio, given an investor’s utility (or risk 41. Portfolio Risk and Return: Part 1
aversion) and the capital allocation line., p.137

Utility function: investors’ risk aversion -and hence, all combinations of his/her risk and return preferences.

Indifference curve: plots combinations of risk and expected return among which an investor is indifferent

(I1, I2, I3).
Increasing investor preference: Why?

Why do ICs slope upwards?
tanties
They assume a risk averse investor:
•
they will only take on more risk if they
are compensated with greater
Expected utility is
same for all expected returns.
points on IC • The higher the risk aversion coefficient, p.138, the
steeper the IC curve, in order to secure an even higher
return for taking more risk! (shifts away from risk axis)

• The lower risk aversion coefficient (more risk

seeking), the less steeper the IC curve! –
shifts towards risk axis!

IC shift to the left is increasing ER (vertical axis) for same or even lower risk)