15. use7Holiday8Education (fees)9Business10Other6AmountThe
amount borrowed1< 1002100 to 5007Savings3500 to 10004>
10005None or unknown1Unemployed2At current job for < 1
year8Job31 year to 4 years44 years to 7 years5> 7 years1Loan is
> 35% of annual income225% to 35%9Proportion320% to
25%4< 20%1Divorced man2Divorced woman10Family3Single
man4Married man or woman5Single woman or
widow1None11Guarantor2Secured on house3Insurance -
backed1Lived there < 1 year21 to 4 years12Resident34 to 7
years4> 7 years1Owns house with some land2Leaseholder or
secure tenant13Wealth3At least owns a car4No appreciable
assets14AgeAge in years1Has other bank loans15Other2No
other bank loans, but store cards3Neither of the above1Rents
accommodation16Type2Owns a flat3Owns a house11 loan with
the bank, i.e. this one22 to 3 loans in all (includes this
one)17Past34 or 546 or more1Casual work2Unskilled, but
regular18Occupation3Skilled or public
servant4Management19Dependents12 or fewer dependents23 or
more20Phone1No2Yes, in their name21Guest1Is a "guest
worker"2Is not
Sheet2
Sheet3
Cwk_Part1_BUIS024_2016-17(4).pdf
BUIS024 Given 20/10/16
Portfolio CW Part 1 Due 24/11/16 for intermediate
feedback; Final deadline: 9/01/17, 10 am
Note: This is the first part of the coursework given in this
module and counts for 30% of your final
grade. All questions must be answered correctly and the
coursework must be returned by the due date
above for full credit. All datasets, together with their
16. descriptions, can be found in the “Coursework
Part 1” folder in the module BlackBoard area. Up to five marks
may be given for presentation.
Remember that this is meant to be an individual coursework and
that any indication that it is
otherwise may result in severe penalties.
Important: Electronic submission is required via BB by
09/01/2017, 10.00 am. The main
report including appendices should be only in ONE file (MS
word or pdf); in addition models
must be submitted separately in a single ZIP file. In order to
obtain initial feedback, please
bring a hard copy of your work on 17/11/16 during lecture.
Problem 1 (10 marks)
An airplane has four engines. On a flight from New York to
Paris, each engine has a 0.001 chance of
failing. The plane will crash if at any time two or fewer engines
are working properly.
a) What is the probability that the plane will crash?
b) Given that engine 1 will not fail during the flight, what is the
probability that the plane will crash?
c) Given that engine 1 will fail during the flight, what is the
probability that the plane will not crash?
State clearly your assumptions and show all working.
Problem 2 (10 marks)
The daily demand for TVs at TVWorld is normally distributed
with mean 400 and standard deviation
100. Each time an order for TVs is placed. It takes exactly 4
17. days to arrive, i.e. TV orders have a 4-day
lead time. TVWorld does not want to run out of TVs during
more than 1% of all lead times. How low
should TVWorld let its TV inventory drop before it places an
order for more TVs?
State clearly your assumptions and show all working.
Problem 3 (45 marks)
Dataset: credit.csv. The description of the variables is in an
excel file named
descriptionCreditScoringData.xls.
This data set consists of genuine credit records from a South
German bank. The aim would generally
be to predict which customers will repay the loan in full and
which of them will not. There are 1000
records and all amounts are in Deutschmarks. Answer the
following using suitable approaches
whether descriptive/graphical or inferential and using a suitable
package e.g. StatTools. Justify your
answers in the main text and include all workings as appendix.
a) Wherever possible and meaningful, provide a brief analysis
of each variable, including their
distribution, outliers, etc.
b) Does there seem to be differences in age, length of loan, or
amount of loan for those who repaid
their loans and those who defaulted?
c) Explore and describe the association of each variable with
the credit status.
d) Does the Length of the loan vary with the use of the loan?
e) Determine relationships, if any, between Age, Length of loan
and Amount of loan.
18. f) Construct a 3-way contingency table from the factors credit,
record and use, and analyse it. You
must state your final conclusions in detail.
BUIS024 Given 20/10/16
Portfolio CW Part 1 Due 24/11/16 for intermediate
feedback; Final deadline: 9/01/17, 10 am
Problem 4 (30 marks)
John Boris, the founder and major stockholder of DataSoft Inc.
has just been told by his lawyer,
Michael Grove, that Brexoft Computer Software has informed
him through their lawyer that Brexoft
plans suing DataSoft for copyright infringements by DataSoft's
recent database software Easybase
Release 1.1. Brexoft claims damage £250,000 and triple
punitive penalties of £750,000. Michael Grove
also tells John Boris that Brexoft's lawyer has hinted that would
be willing to settle out of court by
granting DataSoft retroactively a flat-fee licence for using the
software in contention for £1,000,000.
This would allow DataSoft to continue selling Release 1.1. John
Boris estimates that the future
revenue potential for Release 1.1 amounts to roughly
£1,400,000. If DataSoft chose to defend the law
suit and lost, these sales would also be lost. Michael Grove
estimates that the cost of defending the
law suit will amount to £250,000. If DataSoft wins, Brexoft will
have to refund £250,000. However if
Datasoft loses, it will have to refund Brexoft the same amount.
19. Development of Easybase Release 2.0 has just been started.
With its completely new format, it will
definitely not risk to infringe copyrights. Its development can
also be accelerated. This will allow
Release 2.0 to be introduced four or eight months earlier than
originally planned, provided it is
initiated within a month. The difficulty is that without some
preliminary analysis, it is difficult to
predict how early Release 2.0 can be introduced. Accelerating
will also increase the cost by £100,000
for a four-month early release to £200,000 for an eight-month
early release. However DataSoft would
recoup about £150,000 of the potential loss on every month of
early introduction if they abandon
Release 1.1. Both John Boris and Michael Grove also think that
Brexoft would be willing to accept an
out-of-court settlement for £300,000 in compensation for past
copy-right infringements, if DataSoft
stopped marketing Release 1.1 by the end of the month. They
also think that Brexoft would be willing
to accept a licence fee of £625,000 if Release 2.0 is introduced
8 months earlier and £800,000 if it is
introduced 4 months earlier.
Michael reminds John that he has at most until the end of the
month i.e. 2 weeks to make up his mind
wether or not to accept an out of court settlement. Brexoft will
not consider such settlement once the
court case has been initiated.
There are two major uncertainties in this situation. What are
DataSoft's chances of successfully
defending a court case? And, how much earlier can Release 2.0
be marketed if DataSoft decides to
accelerate its development? Michael estimates that DataSoft has
20. about a 70% chance of winning the
case. Prior to a preliminary analysis, the Easybase development
leader estimates there is a 60%
chance of being able to complete Release 2.0 eight months
earlier and a 40% chance of being able to
complete it only four months earlier. The development leader
suggests that these estimates could be
improved by undertaking a preliminary analysis which takes
about a week and costs £20,000. This
analysis is however not infallible and has a 15% chance to
predict a four-months early release when it
actually is released eight-months early and a 20% chance to
wrongly predict an eight-month early
release.
John Boris is very confused. Should he do for a preliminary
analysis or not? Should he accelerate or
not Release 2.0? Should he go to court or not? As Datasoft's
only analyst, John Boris asked you to
assist him in his decision making process. John Boris also
agrees that his main objective is to maximise
the expected profit to be made. In order to advise John Boris,
you must answer the following
questions. Unless otherwise stated the assumptions are the ones
above.
1. Draw a decision tree skeleton. Show all relevant monetary
values and probabilities.
BUIS024 Given 20/10/16
Portfolio CW Part 1 Due 24/11/16 for intermediate
feedback; Final deadline: 9/01/17, 10 am
21. 2. Build a spreadsheet model based on your decision tree using
Precision Tree and solve the tree. You
must include a copy of your spreadsheet showing all the
formulae and a short report explaining the
formulae.
3. What is the highest price that management should pay for the
preliminary analysis with its current
performance? What is the highest price that management should
pay for any preliminary analysis
regardless of its performance? Explain.
4. Carry out a complete sensitivity analysis on the probability
of being able to complete Release 2.0
eight months earlier (currently 0.6). You may use increments of
0.05. Explain.
5. Carry out a complete sensitivity analysis on both counter-
performance probabilities of the
preliminary analysis. Explain.
6. Other uncertainties are the future revenue potential for
Release 1.1 initially estimated at
£1,500,000 and the chance of winning the case initially
estimated at 70%. Revise the decision as the
revenue for Release 1.1 varies from £1,000,000 to £2,000,000
and the chance of winning the case
varies from 50% to 90%. Explain.
7. Summarise all your recommendations in a short management
report (no more than one typed A4
page). Remember that management has no knowledge of
decision analysis therefore your report
should be as non-technical and as clear as possible.