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Indian Institute of Technology Roorkee

Financial Mathematics

Indian Institute of Technology Roorkee and NPTEL via Swayam


The course on Financial Mathematics focuses on the mathematical properties and relations between concepts of financial and currency markets in investment and other economic activities. The course aims to enthuse confidence in participants to be able to address issues related to globalization of financial markets, development and feasibility of financial transactions, the increasing complexity of portfolio investments, analyzing and forecasting market developments etc. Students in the course will gain an in-depth understanding of advanced economics concepts as well as knowledge of how the financial and banking sectors operate.

INTENDED AUDIENCE: Interested LearnersPREREQUISITES : Basic Mathematics, ProbabilityINDUSTRY SUPPORT : Useful for most of the companies, especially for managers and persons in investment and finance sectors



Week 1:Mathematical introduction, Growth and decay curves
Week 2: Simple interest, bank discount
Week 3:Compound interest, discrete compounding
Week 4:Compounding frequency of interest, Economic equivalence
Week 5:Method of comparison of alternatives, Project balance
Week 6:Credit and loan, Cost of credit and amortization
Week 7:Depreciation and depletion
Week 8:Breakeven analysis, Leverage
Week 9:Stocks and bonds, Valuation of stocks and bonds
Week 10:Mutual funds, Options, Cost of capital and ratio analysis
Week 11:Decision under risk &uncertainty, Risk premium, Portfolio diversification
Week 12:Life Insurance, Endowment, and annuities, Insurance policies

Taught by

Prof. Pradeep K. Jha



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