In: Finance
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?
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%