## Financial Mathematics for Actuarial Science 1

 Unit code: MATH10951 Credit Rating: 10 Unit level: Level 1 Teaching period(s): Semester 1 Offered by School of Mathematics Available as a free choice unit?: N

None

#### Additional Requirements

For students on the Actuarial Science and Mathematics programme only.

#### Aims

Provide an introduction to simple financial transactions as used in actuarial science and the mathematics involved.

#### Overview

This unit explores various simple financial topics from a mathematical point of view.

#### Learning outcomes

On successful completion of this module students will be able to

• Retain knowledge and demonstrate understanding of the topics in this course unit. In particular :
To understand the differences between simple and compound interest and between the force of interest and the nominal rate of interest.
To be familiar with the terms involved in a general cashflow model and how these apply to other simple financial schemes.
• Carry out routine calculations involving the topics in this course unit. In particular :
To carry out calculations involving loans and other transactions taking into account different definitions of the interest rate, interest applied on various time-scales and situations where discount rather than interest applies.
• Have the basic knowledge and a set of tools and methods that can be used
· in subsequent course units,
· (together with MATH20951) to gain exemption from the Actuarial Profession CT1 examination,
· In a career involving mathematical and/or actuarial topics.

#### Assessment methods

• Other - 20%
• Written exam - 80%

#### Assessment Further Information

Weekly quizzes; Weighting within unit 10%
One in-class test;  Weighting within unit 10%
Two hour end of semester examination; Weighting within unit  80%

#### Syllabus

1. Brief reminder of underlying mathematics. Geometric Series and Sum, derivatives and integrals, Maclaurin Series for exponential.
2. Brief introduction to role of finance in actuarial science
3. Generalised cashflow model. Inflow and outflow. Examples of simple models
4. Simple and compound interest and discount. The time value of money
5. Interest Rates. The force of interest and nominal rate of interest. Compound interest applied at various time intervals
6. The value of a cashflow at a given time
7. Nomenclature for compound interest functions as applied to annuities certain, deferred annuities and varying annuities
8. Equations of Value
9. Loan Schedules. Calculating Repayments. Flat Rates and APRs

#### Recommended reading

• Core Reading : Subject CT1, Financial Mathematics. Produced by the Actuarial Profession
• JJ McCutcheon and WF Scott, An Introduction to the Mathematics of Finance, Heinemann, 1986

#### Feedback methods

Feedback seminars will provide an opportunity for students' work to be discussed and provide feedback on their understanding.  Coursework or in-class tests (where applicable) also provide an opportunity for students to receive feedback.  Students can also get feedback on their understanding directly from the lecturer, for example during the lecturer's office hour.

#### Study hours

• Lectures - 22 hours
• Tutorials - 11 hours
• Independent study hours - 67 hours

#### Teaching staff

Neil Walton - Unit coordinator