In: Finance
The SMH ETF has annual return of 14% over the last 10 years. The fund has volatitlity of 19% during that same period. What is1 the 95% likely range of return for SMH over the next 5 years?
The 95% range of return covers two standard deviations
The annual return = 14% = 0.14
Standard deviation = 19% = 0.19
The upper bound = The annual return + 2 * Standard deviation
The upper bound = 0.14 + 2 * 0.19
The upper bound = 0.14 + 0.38
The upper bound = 0.52
The upper bound = 52%
The lower bound = The annual return - 2 * Standard deviation
The lower bound = 0.14 - 2 * 0.19
The lower bound = 0.14 - 0.38
The lower bound = -0.24
The lower bound = -24%