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Tuesday, 3 July 2012

The common stock of Escapist Films sells for $30 a share and offers the following payoffs next year:


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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