# Quantitative Techniques in Business (QTB)

Order Description
Assignment Question:
The data below has been extracted from the financial statements of Barclays Bank Plc for a 10-year period [2004-2013]

Year RSF(%) ROCE(%) RTA(%) LQR(X) ADMIN EXP(£’m) PAIT (£’m) TAX (£’m)
2013 4.73 4.16 0.22 1.04 30384 963 1577
2012 0.16 0.15 0.01 1.03 18189 -723 483
2011 9.62 8.52 0.38 1.03 19447 3616 1928
2010 10.27 9.43 0.41 1.03 19967 4172 1516
2009 8.15 5.28 0.33 1.05 27142 3512 1047
2008 14.65 7.98 0.29 1.03 21100 5249 786
2007 23.79 13.36 0.58 1.03 17456 5126 1981
2006 28.31 1.26 0.72 0.33 16231 5256 1941
2005 23.43 0.99 0.57 0.36 13468 3872 1439
2004 25.24 16.23 0.88 1.04 10152 3277 1289
Source: FAME (2015), Barclay Bank Plc, Available at: https://fame2.bvdep.com/version-201525/Report.serv?_CID=182&context=2W1YA0YV748SNF9&SeqNr=1 [Online] Accessed on 6th February, 2012 at 17:02pm
Key
RSF (%) Return on Shareholders’ Funds
ROCE (%) Return on Capital Employed
RTA (%) Return on Total Assets
LQ (X) Liquidity Ratio
PAIT (£’Millions) Profit After Interest and Tax
TAX (£’Millions) Taxation

Required:
Task 1 : Graphs (Descriptive statistics)
Use relevant graphs to represent each of the following and examine them:
(i) RSF ; ROCE and RTA
(ii) ROCE and LQR
(iv) PAIT and Tax

Perform a correlation analysis for RSF; ROCE and RTA and examine the strength of relationship between these profitability ratios.

Using profit after interest and tax (PAIT) as the dependent variable, perform a linear regression analysis with administrative expenses and amount paid for the year as tax obligation as the explanatory variables.
Report Writing
1. Introduction [300 words]
o The objectives/ rationale for the assignment should be captured
o The key highlights should be captured etc.

2. Graphical Analysis [600 words]
o Use relevant software tools to draw suitable graphs as specified in the Task 1
o Discuss the nature of the relationship from the resulting graphs
o Your discussion should be supported with some relevant literature

3. Correlation Analysis [800 words]
o Use relevant software to produce a correlation matrix as specified in Task 2
o Examine the strength of relationship between the ratios
o Use relevant literature to support your discussion

4. Regression Analysis [800 words]
o Use relevant software to perform the regression analysis as specified in Task 3
o Examine the resulting model using the relevant mechanisms such as goodness of fit; significance; the model and its interpretation etc.
o Use relevant literature to support your discussion

5. Conclusion and Recommendations [500 words]
o Provide a suitable conclusion and recommendation for the entire discussion
o Ensure your conclusion represents a reflective summary for the discussion

6. Referencing
o Use Harvard referencing style should be strictly followed.
o Ensure your reference list include all citations in the text and others which may not be in the text (bibliography)
o Ensure that your references are coming from quality sources such as articles; textbooks and other peer-reviewed journals

Note: Reference List ; Tables and Figures are not part of the word count

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