A regression line has an intercept value of 174.71 and slope value of 25.22. What is the predicted value (the y-value) in the 100th period (the x-value is 100)? Round to two decimal places.
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A regression line has an intercept value of 174.71 and slope value of 25.22. What is the predicted value (the y-value) in the 100th period (the x-value is 100)? Round to two decimal places.
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- Round each z-score to the nearest hundredth.A data set has a mean of x = 6.2 and a standard deviation of 2.2. Find the z-score for each of the following. (a) x = 6.2(b) x = 7.2(c) x = 9.0(d) x = 5.0Calculate the standard deviation of the following returns. Year Return 1 0.25 2 0.16 3 0.01 4 0.07 5 -0.11. Using 625 trading days of data, you estimated the daily log return follows a normal distribution with a mean of 5 bps and and a stdev of 125 bps. Q1a. based on information above, what is the probability of true daily log return average is 0? can you reject the true mean is 0? can you reject the true mean is 10 bps? Q1b. what is the 90, 95, and 99% confidence interval for your mean return estimate? Q1c. what is the mean log return and stdev of log return over one year period and four year period (assuming 252 trading days per year)? Q1d. based on Q1c what is the probably of losing money (negative log return) or doubling your money (total log return = ln(2)) over 1 year and 4 year period?
- Calculate the standard deviation of the following returns. Year Return 1 0.01 2 0.27 3 0.02 4 0.02 5 0.22 Enter the answer with 4 decimals, e.g. 0.1234.A population data set has a mean of 81 and a standard deviation of 5.2 find the z-scores for each of the following.Round to the nearest hundredth . a.x=72 b.x=84Consider the following time series: a. Construct a time series plot. What type of pattern exists in the data? Is there an indication of a seasonal pattern? b. Use a multiple linear regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data: Qtr1 = 1 if quarter 1, 0 otherwise; Qtr2 = 1 if quarter 2, 0 otherwise; Qtr3 = 1 if quarter 3, 0 otherwise. c. Compute the quarterly forecasts for next year.
- The following 20 observations are for two quantitative variables, x and y. a. Create a scatter chart for these 20 observations. b. Fit a linear trendline to the 20 observations. What can you say about the relationship between the two quantitative variables?Consider the following time series data: Construct a time series plot. What type of pattern exists in the data? Develop a three-week moving average for this time series. Compute MSE and a forecast for week 8. Use α = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for week 8. Compare the three-week moving average forecast with the exponential smoothing forecast using α = 0.2. Which appears to provide the better forecast based on MSE? Use trial and error to find a value of the exponential smoothing coefficient α that results in a smaller MSE than what you calculated for α = 0.2.Suppose the returns on an asset are normally distributed. The historical average annual return for the asset was 5.7 percent and the standard deviation was 18.3 percent. a. What is the probability that your return on this asset will be less than –4.1 percent in a given year? Use the NORMDIST function in Excel® to answer this question. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What range of returns would you expect to see 95 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c. What range of returns would you expect to see 99 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations…
- Please calculate the Sharpe measure for the S&P 500 over the last ten years if the standard deviation was 8 percent and the return was 14 percent?1.) On a single chart, plot the value of $1 invested in each of the five indexes over time. I.e., for all ??, plot the cumulative return series for each index: ?????? = (1 + ?��1)(1 + ?��2)...(1 + ????) What patterns do you observe? (10 points) 2.) Plot a histogram of only the Global index returns. Does the distribution look normal? (5 points) 3.) Estimate the following for each of the indices. In calculating the statistics, “monthly” can be interpreted as “not annualized”. (30 points) a. Arithmetic average of monthly returns, and annualized arithmetic return using the APR method b. Geometric average of monthly returns, and annualized geometric return using the EAR method. Why does the geometric average differ from the arithmetic average? c. Standard deviation of monthly returns, and annualized standard deviation d. Sharpe Ratio of monthly returns, and annualized Sharpe Ratio e. Skewness of monthly returns f. Kurtosis of monthly returns g. 5% Value at Risk (VaR) of…Use @RISK's Define Distributions tool to draw a normal distribution with mean 500 and standard deviation 100. Then answer the following questions. Round your answers to three decimal places, if necessary.