financial modelling (excel)
Data
The data – “Coffee Break” - contains time series monthly data from March 1998 to November 2016. For each of the nine brands of coffee you will have monthly data on: volume of sales (in ’00 tonnes), pricing (in USD) and average price per standard size muffin – an accompaniment for drinking coffee.
Assignment Instructions
By this stage, you should have been assigned one of the nine brands of coffee to analyse.
Through extensive consultation with your director, you have identified 9 key items of interest. These are listed below as questions to be answered. Perform the necessary analyses and write a report explaining your findings to potential readers such as the sales and marketing divisions of your company as well as other industry professionals.
3
Question 1
Construct a line chart for your given brand of coffee. Comment on any features of interest.
[5 marks]
Question 2
Estimate a model of volume of sales using a trend component. In other words, estimate the following:
𝑦𝑡 = 𝛽0 + 𝛽1𝑇
Where yt = Volume of sales in period t
T = Trend
Comment on your findings. I.e. what is the interpretation of the coefficient estimates? Are the variables statistically significant? What about the overall model fit? [5 marks]
Note: To complete this step, you must create a trend variable.
Question 3
Refine the model you created in step 2 by adding a seasonal index. In other words, estimate the following:
𝑦𝑡 = 𝛽0 + 𝛽1𝑇 + 𝛽2𝑆𝐼
Where SI = Seasonal Index
Are there any months that exhibit above average sales? What do you think is the reason? How do your findings compare to your observations in step 1? You may wish to report the seasonal indices you constructed. Comment on your findings. [10 marks]
Note 1: To complete this step, you must create a seasonal index.
Note 2: Including the seasonal index may cause the intercept to become statistically insignificant. However, the intercept should be retained as the line chart indicates that the data does not pass through the origin.
QUESTION 4
Determine the equation of the least squares trend line for the de-seasonalized data, and hence calculate the de-seasonalized sales prediction for December 2016. [10 marks]
Henceforth, use the de-seasonalized sales figures for the rest of this assignment. Note: Re-do Question 2 using de-seasonalized data.
Question 5
During the period Mar’98 to Nov’16, there were occasional outbreaks of a Bacterial blight - Bacterium Pseudomonas syringae - affecting the coffee plantation globally. The fear of the bacteria caused people to avoid consumption of some brands of coffee as it was reported in the media that not all brands of coffee were affected by the bacterial attacks. Based on the data, analyse how your assigned coffee brand was affected. It was recorded that the period of the bacteria outbreak were in 2005 Jan-Dec and 2012 Jan-Dec.
Refine the model you created in step 3 by adding an appropriate number(s) of dummy variable(s) to represent the occurrence of bacteria attack. In other words, estimate the following:
𝑦𝑡 = 𝛽0 + 𝛽1𝑇 + 𝛽2𝑆𝐼 + 𝛽3𝐷1 + 𝛽4𝐷2
Where 𝐷1 = Disease dummy variable for the affected period 1
𝐷2 = Disease dummy variable for the affected period 2
Comment on your findings. [15 marks]
Note: To complete this step, you must create dummy variables.
Question 6
Having accounted for various time series effects, your director is now interested in knowing how pricing affects sales. You must investigate own price effects as well as the price effects of various competitive brands. Use either forward or backward selection to determine which competitors are relevant. Estimate the following:
𝑐 𝑐 𝑐
𝑦𝑡 = 𝛽0 + 𝛽1𝑇 + 𝛽2𝑆𝐼 + 𝛽3𝐷1 + 𝛽4𝐷2+ 𝛽5𝑃𝑡 + 𝛽6𝑃1𝑡 + 𝛽7𝑃2𝑡 + ⋯ + 𝛽𝑘𝑃𝑘𝑡
Where Pt = Own price in period t
Pkt = Price of the k competitor in period t
c th
What is the effect of increasing the price of your own brand? What about the effect of a unit of price reduction from your major competitors? Which competitors are relevant and which ones are not?
Why do you think your brand is affected by some competitors and not others? [15 marks]
Question 7
Your director believes that sales may be affected by other savoury items and not just other brands of coffee. In particular, your client believes that the volatility of the price of muffin – a ‘must-have’ accompaniment in coffee drinking, may affect sales as they may be regarded as a complementary good. Investigate the impact of muffin prices on the sales of your brand. Estimate the following:
𝑐 𝑐 𝑐 𝐼𝐶
𝑦𝑡 = 𝛽0 + 𝛽1𝑇 + 𝛽2𝑆𝐼 + 𝛽3𝐷1 + 𝛽4𝐷2 + 𝛽5𝑃𝑡 + 𝛽6𝑃1𝑡 + 𝛽7𝑃2𝑡 + ⋯ + 𝛽𝑘𝑃𝑘𝑡 + 𝛽8𝑃𝑡
Where Pt = Average price of muffin in period t
IC
Is your director’s hypothesis valid? Are coffee and muffin complementary goods? [5 marks]
Question 8
Final Model: Now that you have done your analysis, recommend a model for your brand performance and justify your recommendation. Remember foremost your director is not an Econometrician! [5 marks]
Question 9
To ensure your final model is robust to the assumptions underpinning the theory of Financial Modelling, conduct 2 types of normality test. [8 marks]
Question 10
Conduct significance test for the coefficient of own coffee brand with α = 5% [7 marks]
Question 11
Report writing style, structure, coherency, presentation, references. [15 marks]
[Total marks = 100]
Submission Criteria:
1. Write a report detailing your findings. Your report will need to contain an Executive Summary/Introduction, Body, Conclusion/Recommendation and References (at least 4 credible sources). Appendices are optional, but should not be more than 4 pages. In your report, be sure to address each of your client’s key areas of interest according to each numbered part in this assignment. You may crop/copy–paste the relevant Excel output (e.g. charts/tables, etc.) into appropriate parts in your report.
2. To ensure a concise report this assignment will have a word limit of 3000 – 3500 words (from Executive Summary/Introduction –> Conclusion/Recommendation inclusive), and total page limit of 13 pages (from Table of Content -> Appendices inclusive)
3. You are to submit exactly the following 2 items :
Item 1: A MS Word file that includes Cover sheets => Report => references => Appendices Item 2: A MS Excel file with folders labelled as Orig_Data, Q1, Q2, and Q3…., Q9
4. Exactly ONE (1) report submission is allowed. There will not be any re-submission for missing items/documents (e.g. charts, tables, etc.). You are therefore advised to exercise extra cautious before submission.
5. Reports found with any form of plagiarism will be dealt with seriously, in accordance to University’s policy.