Seeing is believing!

Before you order, simply sign up for a free user account and in seconds you'll be experiencing the best in CFA exam preparation.

Basic Question 10 of 16

Consider a risky portfolio, P, with an expected rate of return of 0.15 and a standard deviation of 0.15, that lies on a given indifference curve. Which one of the following portfolios might lie on the same indifference curve?

A. E(r) = 0.15; Standard deviation = 0.20
B. E(r) = 0.15; Standard deviation = 0.10
C. E(r) = 0.10; Standard deviation = 0.10
D. E(r) = 0.20; Standard deviation = 0.15

User Contributed Comments 7

User Comment
aniketcpp any explnataion??
johntan1979 Look at the graph, you'll understand better.
jonan203 think of any curve with a slope, if P shared a curve with A, B or D, the curve wouldn't be a curve anymore.

plot each portfolio on some graph paper and you'll see why.
davcer sharpe ratio or slope is what matters
Kevdharr If standard deviation goes up, then the expected return must go up. So A is wrong...

If standard deviation goes down, then expected return must go down. So B is wrong and C is correct.

If standard deviation remains the same, then the expected return must also remain the same. So D is wrong...
UcheSam Good one @Kevdhair, that was the principle I used.
Pooja999 @Kevdharr thanks!
You need to log in first to add your comment.
You have a wonderful website and definitely should take some credit for your members' outstanding grades.
Colin Sampaleanu

Colin Sampaleanu

Learning Outcome Statements

explain risk aversion and its implications for portfolio selection

CFA® 2025 Level I Curriculum, Volume 2, Module 1.