Problem bank

Problem 225 of 333MediumStatisticsP225

How long to prove a Sharpe of 1.5?

  1. A trader's strategy has a true annualized Sharpe ratio of 1.5 with i.i.d. returns. You will test H0H_0: Sharpe =0= 0 with a two-sided test at α=0.05\alpha = 0.05.

    (a) What is the power of the test after 2 years of live returns?

    (b) How many years are needed for 90% power?

    (c) How does your answer to (b) change if the true Sharpe is 0.5?