Describe the following terms
a) stationary time series
b) seasonal time series
c) box test ( clearly define your notation and the null and
alternative hypotheses)
Which one of the following time series is most likely to be
stationary?
Select one:
Consumer price index
Financial asset returns
Life expectancy
Nominal gross domestic product
Provide a detailed explanation on why the selected option is
correct.
(1) What two plots might you use to check whether a given time
series is stationary? How are they used?
(2) What plot might you use to determine the order of an MA
process? What plot might you use to determine the order of an AR
process? How are they used?
(3) After fitting a time series model, what two plots might
you use to assess whether the fitted model is appropriate? How are
they used?
Consider the following time series.
t
1
2
3
4
5
yt
5
10
10
15
14
(a)
Choose the correct time series plot.
(i)
(ii)
(iii)
(iv)
- Select your answer -Plot (i)Plot (ii)Plot (iii)Plot (iv)Item
1
What type of pattern exists in the data?
- Select your answer -Positive trend patternHorizontal
stationary patternVertical stationary patternNegative trend
patternItem 2
(b)
Use simple linear regression analysis to find the parameters
for the line that minimizes MSE for this time series....
Consider the following time series.
(a)
Choose the correct time series plot.
(i)
(ii)
(iii)
(iv)
- Select your answer -Plot (i)Plot (ii)Plot (iii)Plot (iv)Item 1
What type of pattern exists in the data?
- Select your answer - Horizontal PatternDownward Trend PatternUpward Trend PatternItem 2
(b)
Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.
Do...
Briefly explain the following Conceptual Understanding
question parts (a) and (b)
a) Explain the concept of time value of money,
how that relates to the discount factor and the Net Present
Value
b) A bond with a par value of £1000 and a coupon rate
of 5% is currently trading at £800, work out its current yield
Consider the following time series data. Week123456Value181516131716a. Choose the correct time series plot.What type of pattern exists in the data? b. Develop a three-week moving average for this time series. Compute MSE and a forecast for week 7. Round your answers to two decimal places. WeekTime Series ValueForecast118215316413517616 MSE: The forecast for week 7: c. Use α = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for week 7. Round your answers to two decimal places. WeekTime Series ValueForecast118215316413517616MSE: The...