Applied Financial Modelling
Lecturers
GHEZZI LUCA
Aim of the course
This course concerns the
application of scientific tools to investment and funding activities.
It deals with some validated quantitative models and processes that
support financial decisions in such fields as
▲ the appraisal and
comparison of real investment projects;
▲ the comparison of banking and near banking transactions,
such as a time deposit, a home mortgage loan, a
security lending arrangement, a lease of vehicles, plant, and equipment;
▲ the design of financial contracts, such as a structured bond or
a life insurance policy with either guaranteed capital or return;
as well as
▲ the management of financial risks and returns, as in the
case of a portfolio of bank loans, a pension fund, or a mutual fund;
▲ the supervision and control of financial risks.
As for the investment
activity, the course provides a technical overview and lets students get
accustomed to some of its procedures, which are usually computer-based. To
strengthen the link with professional practice, emphasis is placed on data,
financial models, statistical and empirical estimation procedures
that are referred to in the workplace. As a consequence, students will learn what
to analyse and how to approach a financial problem, whether it concerns a real
investment or a financial investment, especially in stocks and bonds. This is essential for
understanding in depth such operative issues as
▲ how to detect mispriced
stocks or bonds, i.e. how to pick stocks and bonds effectively;
▲ how to obtain the
greatest possible return from a financial portfolio with a given degree of risk.
All the relevant aspects of a financial
problem are taken into account through a problem-oriented and hence
multidisciplinary approach, in which
▲ reference may be made to
the theoretical principles and practical notions of other related subjects,
such as accounting, industrial economics, and applied statistics;
▲ attention may be paid to the empirical evidence on
financial markets and their workings;
▲ use may be made of an electronic
spreadsheet to carry out the various financial procedures.
The material covered in each
unit progresses from the simplest concept to the more advanced one. First the
fundamentals of applied financial mathematics are reviewed. The acquired
notions are then used to examine other applicative problems such as the measurement
of a term structure of interest rates, the appraisal
of real investment projects, the appraisal of
companies, the management of a bond portfolio, the management of a stock portfolio.
Syllabus
Review of applied financial mathematics.
Simple
and compound interest. Day count conventions. Money markets. Eonia and
Euribor rates. Bilateral loans and bonds. Pure
discount bonds. Capital markets. Equivalent
rates of compound interest. Continuous compound interest. Term structure of
interest rates: spot and forward rates, measurement (money market, Government
bond market). Classical term structure explanations: financial insight and
explanatory power. Annuities and perpetuities with
payments in arrear. Repayment of a loan in instalments: collateral and personal
guarantees, approval of a mortgage application, repayment schedule. Operating
and financial leasing.
Appraisal
of real investments.
Real investment
plans, pro forma financial statements, and equity cash flows. Projections of pro
forma financial statements on an electronic spreadsheet. Viability
of a single investment project. Net present
value, internal rate of return, and annual debt service cover ratio: properties
and use. Product / industry life cycles; growth and value
companies. Company evaluation formulae; implicit mean rates of return and critical
line.
Basics of bond management.
Fixed rate bonds: clean
and dirty price, yield to maturity, yield-price relation. Yield curves.
Floating rate bonds: definition and valuation. Duration and variability of a
bond price. Duration of a bond portfolio. Price and reinvestment risk. Immunisation
of a bond portfolio against interest rate risk. Credit risk: default and
recovery rates, credit rating by international agencies, actual yields on
corporate bonds. Overview of bond management in practice.
Basics of stock management.
Portfolio
selection: mean-variance framework, statistical properties of stock returns
(heteroskedasticity and long-term mean reversion), analytical representation of
feasible portfolios and derivation of efficient portfolios, inclusion of a
risk-free asset, one-fund theorem, two-fund theorem. Risk diversification and selected
historical data. Efficient stock markets hypothesis: theoretical
principles, outline of the empirical evidence, and selected statistical
tests. Overview of portfolio management in practice: the investment
process (stages, tasks, and tools), passive and active management (market trend-timing and mispriced-asset
selection, style switching and group rotation). Corporate competitive advantage
and financial performance. Fundamentals of value investing.
Examinations
▲ To take this course, students must be familiar
with mathematics (basics of calculus and optimisation), statistics (sample
statistics and their distributions, hypothesis testing, linear regression) and accounting (reclassified
financial statements, main accounting ratios). Knowledge of the financial
system (markets and intermediaries as institutions and their functions,
financial contracts and their use) is helpful.
▲ Individual active
learning is needed on the basis of 1-2 hours per week, so as to keep up
with all lesson and practical sessions (8 ECTS, 50 contact hours or so).
▲ After completing an individual homework as
well as a communal one during the course, attenders willl take a closed-book
written exam at the end of the course. The exam for the remaining students is
oral. Whether the final exam is written or oral, a pocket calculator is needed.
Non-attenders may contact their lecturer for advice on how to go about this
subject.
Reading list
Farrell,
J.L., Portfolio management: theory and applications, New York, Irwin /
McGraw-Hill, 1997.
Keasey,
K., Hudson, R., Littler, K., The intelligent guide to stock market
investment, Chichester, Wiley, 1998.
Luenberger,
D.G., Investment Science, New York, Oxford University Press, 1998.
Additional references may be
made available in class. Handouts are available at the International
Office.