Q 11.36. Assume that the typical day-to-day noise (standard deviation) is about 100 basis points. As- sume that you have the kind of stock-picking ability that earns you an extra 400 basis points per annum. Assume no transaction costs. Ignore compounding and assume that your rate of return is the sum of re- turns over trading days. Assume there are 252 trading days per year. 1. With only 1 day of performance, how much extra do you expect to earn per day? 2. How bad is your noise over 1 day? 3. What is your expected T-statistic (the excess mean divided by the standard deviation)? 4. With 252 trading days of performance, how much extra do you expect to earn per annum? 5. How bad is your noise over 252 days? 6. What is your expected T-statistic now? 7. Work out how many years you would expect to wait before you would obtain statistically significant evidence to prove that you have a positive ability to pick stocks.