We calculate the expected return as follows:

Roten

Bradley

(1)

(2)

(3)

(4)

(5)

(6)

State of

Probability of State of

Return if

Product

Return if

Product

Economy

Economy

State

(2) × (3)

State

(2) × (5)

Bust

0.4

Occurs

Occurs

Boom

0.6

10%

0.04

30%

0.12

40%

0.24

10%

0.06

E(R) =

20%

E(R) =

18%