2024/25 Taught Postgraduate Module Catalogue

MATH5315M Applied Statistics and Probability

15 Credits Class Size: 110

Module manager: Dr Elena Hernandez
Email: M.E.Hernandez-Hernandez@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2024/25

Pre-requisite qualifications

Fulfilment of the entry requirements to any of the above programmes is sufficient

Module replaces

LUBS5042M Financial Econometrics (MSc Financial Mathematics)

This module is not approved as an Elective

Objectives

The aim of the module is to provide a grounding in the aspects of statistics, in particular statistical modelling, that are of relevance to actuarial and financial work. The module introduces and develops the fundamental concepts of probability and statistics used in applied financial analysis.

The course also provides training in practical skills required for empirical analyses.

Learning outcomes

Students will have opportunities to develop a good understanding of the fundamentals of probability and statistics.

They should be able to use these techniques in empirical analyses of financial data and present, interpret, discuss the results in a written report. Students are also expected to become proficient in the use of statistical software.

Skills outcomes

On completion of the module students are expected to be able to:
- communicate both verbally and in writing the theoretical and applied concepts of probability and statistics within a finance context
- carry out statistical tests and interpret the findings.

Syllabus

PART I: Fundamentals of Probability
- Summarising data
- Introduction to probability
- Random variables
- Probability distributions
- Generating functions
- Joint distributions
- The central limit theorem
- Conditional expectation.

PART II: Fundamentals of Statistics
- Sampling and statistical inference
- Point estimation
- Confidence intervals
- Hypothesis testing.

PART III: Applied Statistics
- Correlation and regression (OLS)
- Analysis of variance (ANOVA)
- Univariate time series analysis and forecasting (ARMA)
- Multivariate time series analysis (VAR)
- Cointegration
- Volatility models (ARCH/GARCH).

Teaching Methods

Delivery type Number Length hours Student hours
Lecture 16 2 32
Practical 5 1 5
Seminar 6 1 6
Private study hours 107
Total Contact hours 43
Total hours (100hr per 10 credits) 150

Private study

- Pre-lecture reading 1 h each (32 h)
- Post-lecture reading 1 h each (32 h)
- Seminar reading and preparation (30 h)
- Completion of assessed coursework (20h).

Opportunities for Formative Feedback

- Student contributions made to seminar discussion.
- At least one piece of assessed coursework.

Methods of Assessment

Coursework
Assessment type Notes % of formal assessment
Project max 2,000 words 30
Total percentage (Assessment Coursework) 30

The resit for this module will be 100% by 2hours examination

Exams
Exam type Exam duration % of formal assessment
Standard exam (closed essays, MCQs etc) 2.0 Hrs Mins 70
Total percentage (Assessment Exams) 70

The resit for this module will be 100% by 2 hours examination

Reading List

The reading list is available from the Library website

Last updated: 29/04/2024

Errors, omissions, failed links etc should be notified to the Catalogue Team