In a previous article we talked about using expected return
formula to make investment decisions (Read
more here). This simple yet robust
approach can easily distinguish the risk adjusted return of an investment
vehicle over the long run. However,
there are cases where investors prefer lower expected return due to
psychological influence.
Example,
Jack came across a promotional material about a fast-growing
fund named SCK Fund. When comparing with
conventional utilities sector focused ENW fund, SCK fund could generate 30%
annual return while ENW fund could generate 6% annual return. After talking to several investors on these
funds, Jack found that the return on SCK fund was relatively volatile with a
50% chance that it could generate either 30% or -25% returns. Meanwhile, ENW fund performance was fairly
stable, the ratio of generating 6% and -1% returns were 80:20. Many SCK fund investors told Jack to pick SCK
fund even though it had higher risk, because they believed that higher returns
always come with higher risks. If you
were Jack, which fund would you prefer?
Let’s do the math.
ENW fund
E(R) = (p)(RW)
+ (1-p)(RL)
=
(0.8)(6%) + (0.2)(-1%)
= 4.6%
SCK fund
E(R) = (p)(RW)
+ (1-p)(RL)
= (0.5)(30%)
+ (0.5)(-25%)
= 2.5%
Based on the expected return calculation, ENW fund is a
better choice but many investors might opt for SCK fund due to the attractive
higher return and/ or the influence of marketing.
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