STEP 5: COLLECTING THE DATA AND CALCULATING THE TEST STATIST…
STEP 5: COLLECTING THE DATA AND CALCULATING THE TEST STATISTIC You are evaluating the performance of one of the funds held by Florida Retirement System (FRS). FRS’s mean performance over the last 5 years is shown in the table below (2017-2021). In 2022, FRS’s investments have been managed under the guidance of DELTA Advisors, and they finally achieved an annual return of [r6]%. You are tasked to write a report on whether or not FRS’s performance for 2022 is (statistically) different from the previous years (2017-2021). In order to get the t-critical-value (your threshold to reject the Null), and your t-statistic (the t-“value” that corresponds to your actual tested performance of an annual return of [r6]%), you need to calculate the moments of FRS’s return distribution (specifically: Mean, Variance/Standard Deviation). Year Return Latest 2022 [r6]% Historical 2021 [r5]% 2020 [r4]% 2019 [r3]% 2018 [r2]% 2017 [r1]% A. You quickly estimate the Mean and write it down (After all, since the data corresponds to historical values, this is the same as the Arithmetic Mean = Average). B. You estimate the Standard Deviation, and since the number of years in your sample = only five (small), you consider that this is a sample. C. You estimate the Standard Error, which you get dividing the standard deviation by the square root of N. The t-statistic (t-“value” estimated from your data) is __________. Please type your answer as percentage and not as decimal (e.g., 5.2 and not 0.0502). Round to the nearest two decimals, if needed.
Read DetailsSTEPS 6 AND 7: MAKING THE STATISTICAL DECISION AND ECONOMIC/…
STEPS 6 AND 7: MAKING THE STATISTICAL DECISION AND ECONOMIC/INVESTMENT DECISION You look at previous studies which failed to reject the null that FRS’s performance in 2022 was the same to their average historical performance. However, after collecting additional data and careful evaluation, you realize that their returns for 2022 were statistically higher compared to their average historical performance. These previous studies made:
Read DetailsSTEPS 2 TO 4: CHOOSING TEST, SPECIFYING SIGNIFICANCE LEVEL A…
STEPS 2 TO 4: CHOOSING TEST, SPECIFYING SIGNIFICANCE LEVEL AND STATING THE DECISION RULE You are evaluating the performance of one of the funds held by Florida Retirement System (FRS). FRS’s mean performance over the last 5 years is shown in the table below (2017-2021). In 2022, FRS’s investments have been managed under the guidance of DELTA Advisors, and they finally achieved an annual return of [r6]%. You are tasked to write a report on whether or not FRS’s performance for 2022 is (statistically) different from the previous years (2017-2021). For this problem, you choose a 5% significance level (which is the same as 95% confidence interval). What is the t-critical value (t-“value” at which you reject the null)? Hint: Is this a one-sided problem or two-sided problem? …. and keep in mind you are relying on the t-critical and not z-value.
Read DetailsMs. Smith finally accepts investing in the GMV portfolio, as…
Ms. Smith finally accepts investing in the GMV portfolio, as per your recommendation. Both of you are now evaluating the potential scenarios (outcomes) for this portfolio. Linda is concerned about the probability of ending up in a Scenario that is equal or worse than Scenario [x]. What is the P(X
Read DetailsSTEPS 2 TO 4: CHOOSING TEST, SPECIFYING SIGNIFICANCE LEVEL A…
STEPS 2 TO 4: CHOOSING TEST, SPECIFYING SIGNIFICANCE LEVEL AND STATING THE DECISION RULE You are evaluating the performance of one of the funds held by Florida Retirement System (FRS). FRS’s mean performance over the last 5 years is shown in the table below (2017-2021). In 2022, FRS’s investments have been managed under the guidance of DELTA Advisors, and they finally achieved an annual return of [r6]%. You are tasked to write a report on whether or not FRS’s performance for 2022 is (statistically) different from the previous years (2017-2021). For this problem, you choose a 1% significance level (which is the same as 99% confidence interval). What is the t-critical value (t-“value” at which you reject the null)? Hint: Is this a one-sided problem or two-sided problem? …. and keep in mind you are relying on the t-critical and not z-value.
Read DetailsSTEP 1: FORMULATING THE HYPOTHESES You are evaluating the pe…
STEP 1: FORMULATING THE HYPOTHESES You are evaluating the performance of one of the funds held by Florida Retirement System (FRS). FRS’s mean performance over the last 5 years is shown in the table below (2017-2021). In 2022, FRS’s investments have been managed under the guidance of DELTA Advisors, and they finally achieved an annual return of [r6]%. You are tasked to write a report on whether or not FRS’s performance for 2022 is (statistically) higher compared to the previous years’ average performance (2017-2021). Refer to 2022’s return as R22 and to previous performance as RM …. What are your Null Hypothesis (H0) and Alternative Hypothesis (HA)? * != means “not equal”
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