Question

2. Measuring standalone risk using realized data Aа 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 Blue Llama Mining Inc. (BLM): Five years of realized returns for BLM are given in the following table. Remember: 1. While BLM 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 BLM for 2012 to 2015 are 2012 2013 2014 2015 2016 Stock return 13.75% 9.35% 16.50% 23.10% 7,15% Given the preceding data, the average realized return on BLM's stock is The preceding data series represents of BLM's historical returns. Based on this conclusion, the standard deviation of BLM's historical returns is If investors expect the average realized return from 2012 to 2016 on BLM's stock to continue into the future, its coefficient of variation (CV) will be

Answer 1

1)

Average realized return = (0.1375 + 0.0935 + 0.165 + 0.231 + 0.0715) / 5

Average realized return = 0.1397 or 13.97%

2)

Sample

3)

standard deviation = {[(0.1375 - 0.1397)² + (0.0935 - 0.1397)² + (0.165 - 0.1397)² + (0.231 - 0.1397)² + (0.0715 - 0.1397)²] / 5- 1}^1/2

standard deviation = {[0.000005 + 0.002134 + 0.00064 + 0.008336 + 0.004651] / 4}^1/2

standard deviation = 0.0628 or 6.28%

4)

Coefficient of variation = Standard deviation / mean

Coefficient of variation = 0.0628 / 0.1397

Coefficient of variation = 0.45