Posted: September 13th, 2017
statistics
- Using the past 1 year of adjusted closing prices of NFLX, calculate and plot the kernel density function of daily differences between adjusted closing prices.
- Find the 0%, 5%, 25%, 50%, 75%, 95% and 100% quantiles of daily differences of adjusted closing prices for question 1.
- Calculate the experimental cumulative density function for question 2 and plot the ogive.
- Test whether the distribution from question 3 is normal. Can one reject the null hypothesis of normality at significance level 0.05?
- Find the Pearson correlation coefficient between the adjusted daily closing price of NFLX in 2014 and adjusted daily closing price of NFLX for: one trading day prior; two trading days prior etc. up until 20 trading days prior, and plot these in a graph. What does the graph indicate?
- Using KS-test, find whether the distribution of daily differences of adjusted closing NFLX prices in 2014 was significantly different from the same distribution for 2012.
- Determine whether the daily volatility of GOOG is equal to to volatility of NFLX by comparing index X=log(High/Close) for latest 250 daily prices for both stocks. Treat X as a sample from a much larger population, for both stocks. Use the significance level of 0.05 in each test.
- A) Assume normality of both distributions.
- B) Do not assume normality; instead, use the Wilcoxon non-parametric two-sample test.
- C) Do not assume normality; instead, use the two-sample Kolmogorov-Smirnov test.
- Assuming normality, test the null hypotheses for latest 250 closing prices of NFLX on New York Stock Exchange
Ho:(mean(X)=0)
Ho:(mean(X)>0)
Ho:(mean(X)<0)
where Xi=log(Close(i)/Close(i-1)), i=2,3,..,250
Can either of hypotheses be rejected at significance level 0.05?
- Assuming symmetry about the median, test the null hypotheses for latest 250 closing prices of NFLX on New York Stock Exchange
Ho:(median(X)=0)
Ho:(median(X)>0)
Ho:(median(X)<0)
where Xi=log(Close(i)/Close(i-1)), i=2,3,..,250
Can either of hypotheses be rejected at significance level 0.01?
- Find the Spearman, Pearson and Kendall correlation between the latest 500 daily closing prices of SU.TO and SU stocks. What do the correlations indicate?