Question

2. Measuring standalone risk using realized (historical) data Aa Aa Returns earned over a given time period are called realized returns. Historical data on realized returns is often used to estimate future results. Analysts across companies use realized stock returns to estimate the risk of a stock. Consider the case of Falcon Freight Inc. (FF): Five years of realized returns for FF are given in the following table. Remember: 1. While FF was started 40 years ago, its common stock has been publicly traded for the past 25 years 2. The returns on its equity are calculated as arithmetic returns. 3. The historical returns for FF for 2012 to 2016 are: 2012 2013 2014 2015 2016 Stock return 25.00% 17.00% 30.00% 42.00% 13.00% Given the preceding data, the average realized return on FF's stock is The preceding data series represents standard deviation of FF's historical returns is of FF's historical returns. Based on this conclusion, the If investors expect the average realized return from 2012 to 2016 on FF's stock to continue into the future, its coefficient of variation (CV) will be

Answer 1

Answer:

A)Average realized return U= (25%+17%+30%+42%+13%)/5=25.40%

B) Sample

C)Standard deviation for sample = $\sqrt{\sum ((x-U)^2))/(n-1)}$

here x= return for each year

n=5 years

Standard deviation=$\sqrt{ ((.25-.2540)^2)+(.17-.2540)^2)+(.30-.2540)^2)+(.42-.2540)^2)+(.13-.2540)^2))/(5-1)}$

Standard deviation = 11.41%

D) Coefficient of variation COV= Standard deviation/U=11.41%/25.40%=0.449