Undergraduate: Level 4
Monday 13 January 2020
Friday 20 March 2020
01 August 2019
Requisites for this module
MA211, MA212, MA311
BSC N233 Actuarial Science (Including Placement Year),
BSC N323 Actuarial Science,
BSC N324 Actuarial Science (Including Year Abroad),
BSC N325 Actuarial Science (Including Foundation Year),
BSC L1G2 Economics and Mathematics (Including Placement Year),
BSC LG11 Economics and Mathematics,
BSC LG18 Economics and Mathematics (Including Foundation Year),
BSC LG1C Economics and Mathematics (Including Year Abroad),
BSC GN13 Finance and Mathematics,
BSC GN15 Finance and Mathematics (Including Placement Year),
BSC GN18 Finance and Mathematics (Including Foundation Year),
BSC GN1H Finance and Mathematics (Including Year Abroad)
For students outside of the Department, an appropriate A level in Mathematics (or equivalent) is required for this module. If you are unsure whether you meet this criteria please contact firstname.lastname@example.org before attempting to enrol. The aim of the Financial Mathematics module is to provide a grounding in financial mathematics and its simple applications. This module covers Units 1, 2 & 3 of required material for the Institute and Faculty of Actuaries CM1 syllabus (Actuarial Mathematics, Core Principles).
i) generalised cashflow model to describe financial transactions
ii) take into account the time value of money using the concepts of compound
interest and discounting.
iii) Expressing interest rates and discount rates in terms of different time periods.
iv) Real and money interest rates.
v) Present value and accumulated value of a stream of payments
vi) Using compound interest functions including annuities certain.
vii) Equations of value.
viii) Loans repayments by instalments.
ix) Discounted cashflow techniques and investment project appraisal.
x) Investment and risk characteristics of assets such as fixed interest borrowings (government and others), shares, derivatives.
xi) Analysis of elementary compound interest problems.
xii) Delivery price and value of forward contracts.
xiii) Term structure of interest rates.
xiv) Simple stochastic models for investment returns.
On completion of this module, students should be able to:
- Describe how to take into account the time value of money using the concepts of compound interest and discounting.
- Show how interest rates or discount rates may be expressed in terms of different time periods.
- Demonstrate a knowledge and understanding of real and money interest rates.
- Calculate the present value and the accumulated value of a stream of payments using specified rates of interest, and the net present value at a real rate of interest.
- Apply a generalised cash flow model to analyse financial transactions.
- Derive and solve equations of value.
- Show how discounted cash flow techniques can be used in measurement of investment project performance.
- Derive formulae for different types of annuities.
- Describe how a loan may be repaid by regular instalments of interest and capital.
- Describe the investment and risk characteristics of typical assets available for investment purposes.
- Analyse elementary compound interest problems allowing for both income tax and capital gains tax liabilities and calculate the real yield from the fixed-interest securities.
- Show an understanding of the term structure of interest rates; evaluate the duration and convexity of a cash flow sequence, and their use in Redington immunisation of a portfolio of liabilities.
- Define the concept of arbitrage, explain the significance of the no-arbitrage assumption and use this assumption to calculate the forward price of a number of derivative-type contracts.
- Show an understanding of simple stochastic models for investment returns.
'A' level Maths or equivalent normally required.
1. The time value of money
1.1 Simple interest
1.2 Compound interest
1.3 Nominal and effective interest rates
1.4 The force of interest
1.5 Real and money interest rates
1.6 Discounting and accumulating
2. Cash flows and investment project appraisal
2.1 Cash flows and their value
2.2 Net present value and discounted cash flow
2.3 Equations of value
2.4 The internal rate of return
2.5 The comparison of two investment projects
2.6 Measurement of investment project performance
3. Annuities and loan schedules
3.3 Deferred Annuities
3.4 Varying annuities
3.5 Loan schedules
4. The valuation of securities
4.1 Fixed-interest securities
4.2 Related assets
4.3 Prices and yield
4.4 The effect of the term to redemption on the yield
4.5 Optional redemption dates
4.6 Real returns and index-linked securities
5. Capital Gains Tax
5.1 Fixed-interest securities and running yields
5.2 Income tax and capital gains tax
5.3 Offsetting capital losses against capital gains
5.4 Indexation of Capital Gains Tax
5.5 Inflation adjustments
6. Term structures and immunization
6.1 Spot and forward rates
6.4 Redington immunisation
7. Arbitrage and forward contracts
7.2 Forwards contract
7.3 Calculating the forward price
7.4 Speculation, hedging, gearing (leverage)
7.5 The value of a forward contract prior to maturity
8. Stochastic interest rate models
8.1 Simple model
8.2 Independent annual rates of return
8.3 The log-normal distribution
This module has 30 lectures and 5 lab classes in the spring term. There are 3 revision hours in the summer term.
The above list is indicative of the essential reading for the course. The library makes provision for all reading list items, with digital provision where possible, and these resources are shared between students. Further reading can be obtained from this module's reading list.
Assessment items, weightings and deadlines
|Coursework / exam
||Test in PC Lab
||225 minutes during Summer (Main Period) (Main)
Module supervisor and teaching staff
Dr Junlei Hu, email email@example.com
Miss Claire Watts, Department Manager, email firstname.lastname@example.org
No external examiner information available for this module.
Available via Moodle
Of 40 hours, 38 (95%) hours available to students:
2 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).
* Please note: due to differing publication schedules, items marked with an asterisk (*) base their information upon the previous academic year.
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