Module Code: |
H6MBF |
Long Title
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Mathematics for Business and Finance
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Title
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Mathematics for Business and Finance
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Module Level: |
LEVEL 6 |
EQF Level: |
5 |
EHEA Level: |
Short Cycle |
Module Coordinator: |
Gaia Barone |
Module Author: |
JONATHAN LAMBERT |
Departments: |
School of Business
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Specifications of the qualifications and experience required of staff |
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Learning Outcomes |
On successful completion of this module the learner will be able to: |
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Learning Outcome Description |
LO1 |
Manipulate expressions and equations and apply the laws of exponents and logarithms |
LO2 |
Calculate and analyse the value of an asset in the context of interest |
LO3 |
Calculate and compute the future value, present value, time taken, and or interest rate required for a funds parameter to assume a particular state |
LO4 |
Make appropriate decisions with respect to the most appropriate investment strategy as presented through a number of scenarios |
LO5 |
Calculate the values of Mortgages, Sinking Funds, Annuities |
LO6 |
Use and develop spreadsheet-based solutions to financial problems |
Dependencies |
Module Recommendations
This is prior learning (or a practical skill) that is required before enrolment on this module. While the prior learning is expressed as named NCI module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).
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No recommendations listed |
Co-requisite Modules
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No Co-requisite modules listed |
Entry requirements |
Programme entry requirements
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Module Content & Assessment
Indicative Content |
Algebra and Calculus
Functions (Exponential functions; Logarithm functions);
Limits (Tangent line);
Derivatives (Overview; Interpretation; Computation);
Sequences and Series (Special sequences and series).
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Basic Financial Operations
Financial variables (Future value, present value, interest and discount; Accumulation factor, discount factor, interest rates and discount rates; Relationships between financial variables);
Actuarial methods for calculating interests and discounts (Simple interest; Compound interest);
Interest rates (Effective and nominal interest rates; Instantaneous interest rates).
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Complex Financial Operations
Fundamental notions on annuities (Annuities; Present value and future value; Classifications);
Annuities with constant payments (Present value and future value; Payments and number of payments; Interest rate).
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Amortizing a Loan
Amortization (Introducing Amortization; Amortization schedules; Amortization schedule with predetermined payments or principal quotas);
Various amortization methods (French amortization method; Italian amortization method; Sinking fund and American amortization method; Other amortization methods);
Loan value (Outstanding loan balance, Loan value, bare ownership and usufruct).
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Mathematical Methods for Investments Choices
Projects’ algebra (Projects’ analytical representation; Projects’ algebra);
Investments' criteria (Definition and properties; Classification);
NPV and IRR (NPV; IRR).
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Term Structure of Interest Rates and Arbitrages
Spot and forward rates (Term structure of interest rates; Spot and forward contracts; Arbitrages; Non-arbitrage condition; Forward rates);
Zero rates (Bootstrap method).
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Assessment Breakdown | % |
Coursework | 40.00% |
End of Module Assessment | 60.00% |
AssessmentsFull Time
Coursework |
Assessment Type: |
Continuous Assessment |
% of total: |
40 |
Assessment Date: |
n/a |
Outcome addressed: |
1,2,3 |
Non-Marked: |
No |
Assessment Description: Candidates are required to complete one in-class MCQ, which is a mix of theoretical and problem-based question |
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End of Module Assessment |
Assessment Type: |
Terminal Exam |
% of total: |
60 |
Assessment Date: |
End-of-Semester |
Outcome addressed: |
1,2,3,4,5,6 |
Non-Marked: |
No |
Assessment Description: Final Examination, which will consist of an Excel-based exam. |
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Reassessment Requirement |
Repeat examination
Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.
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Reassessment Description Candidates will attempt the repeat assessment for the module, if they do not successfully pass the module. Learners are required to attempt all assessments attaching to a module. For those modules where all learning outcomes are assessable with a final examination, the student does not have to re-sit failed individual CA components.
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NCIRL reserves the right to alter the nature and timings of assessment
Module Workload
Module Target Workload Hours 0 Hours |
Workload: Full Time |
Workload Type |
Workload Description |
Hours |
Frequency |
Average Weekly Learner Workload |
Lecture |
Classroom and demonstrations |
2 |
Every Week |
2.00 |
Lecturer Supervised Learning |
Mentoring and small-group tutoring |
1 |
Every Week |
1.00 |
Directed Learning |
Directed e-learning |
3 |
Every Week |
3.00 |
Independent Learning |
Independent learning |
8 |
Every Week |
8.00 |
Total Weekly Contact Hours |
6.00 |
Module Resources
Recommended Book Resources |
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Pamela Peterson Drake, Frank J. Fabozzi. Foundations and Applications of the Time Value of Money, [ISBN: 978-0-470-52602-6].
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Erio Castagnoli,Margherita Cigola,Lorenzo Peccati. Financial Calculus. With Applications, [ISBN: 978-8823821743].
| Supplementary Book Resources |
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Roland Minton, Robert T Smith. Calculus, [ISBN: 978-0073383118].
| This module does not have any article/paper resources |
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This module does not have any other resources |
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