Question

In: Finance

The stock of Business Adventures sells for $60 a share. Its likely dividend payout and end-of-year...

The stock of Business Adventures sells for $60 a share. Its likely dividend payout and end-of-year price depend on

the state of the economy by the end of the year as follows:

Dividend Stock price
  Boom $2.00     $73      
  Normal economy 1.50     63      
  Recession .70     59   

Calculate the standard deviation of the holding-period return. All three scenarios are equally likely.

(Do not round intermediate calculations. Round your answer to 4 decimal places)

Standard deviation?

Solutions

Expert Solution

Holding period return = (dividend + (ending value - starting value))/starting value

Dividend Ending Value Ending value - Starting value HPR (HPR - Avg. HPR)^2
  Boom $2.00     $73       $13 25.00% 205.44
  Normal economy $1.50     63       $3 7.50% 56.25
  Recession $0.70     59 -$1 -0.50% 0.25

Average HPR = (25% + 7.5% - 0.50%)/3 ; = 10.67%

ST Dev. = (Sum of [(HPR - Avg. HPR)^2]/n)^0.5

= (264.94/3)^0.5

= 9.39%


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