The common stock of Escapist Films
sells for $30 a share and offers the following payoffs next year:
|
Dividend
|
Stock
Price
|
|
Boom
|
0
|
$24
|
Normal economy
|
$1
|
32
|
Recession
|
4
|
38
|
All three scenarios are equally
likely.
|
a.
|
Calculate the expected return of
Escapist. (Negative values should be indicated by
a minus sign.)
|
Expected
Return
|
|
Boom
|
%
|
Normal economy
|
%
|
Recession
|
%
|
b.
|
Calculate the standard deviation
of Escapist. (Do not round intermediate
calculations. Round your answer to 2 decimal places.)
|
Standard deviation
|
%
|
Explanation:
Some
values below may show as rounded for display purposes, though unrounded
numbers should be used for the actual calculations.
|
Escapist Films:
|
Boom:
|
$0 + ($24 − $30)
|
=
|
−20%
|
$30
|
Normal:
|
$1 + ($32 − $30)
|
=
|
10%
|
$30
|
Recession:
|
$4 + ($38 − $30)
|
=
|
40%
|
$30
|
r
=
|
(−20) + 10 + 40
|
=
|
10.00%
|
3
|
Variance
=
|
1
|
×
(−20 − 10.00)2 +
|
1
|
×
(10 − 10.00)2 +
|
1
|
×
(40 − 10.00)2 =
|
600.00
|
3
|
3
|
3
|
Standard
deviation
|
=
|
=
|
24.49%
|
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