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Financial Mathematics
Engineering & Social Sciences Program
Madrid, Spain
Dates: early Sep 2025 - mid Dec 2025
Financial Mathematics
OVERVIEW
CEA CAPA Partner Institution: Universidad Carlos III de Madrid
Location: Madrid, Spain
Primary Subject Area: Finance
Instruction in: English
Course Code: 13743
Transcript Source: Partner Institution
Course Details: Level 100
Recommended Semester Credits: 3
Contact Hours: 42
DESCRIPTION
1.Introduction to financial mathematics
1.1. The time value of the money
1.2. Financial Operation.
1.3. Present and future value
1.4. Financial law
2.Capitalization
2.1. Simple and Compound Interest
2.2. Financial Factors
2.3. Capitalization and discounting
2.4. Financial Sum
2.5. The frequency of compounding
3.Interest Rates
3.1. Simple and Compound Interest Rate
3.2. Interest Rates and Capitalization Laws
3.3. Nominal and Effective APR
3.4. Forward and Spot Interest Rates
3.5. The Effective APR as a Comparison Tool
4.Financial operations
4.1. Types
4.2. Commercial Characteristics
5.Short term operations
5.1. Simple Commercial Discounting
5.2. Discounting Commercial effects
5.3. T-bills
5.4. Repurchase agreements (REPOs)
6.Annuities and Perpetuities
6.1. Concept of annuity
6.2. Classification
6.3. Constant annuities: immediate, deferred, anticipated
6.4. Varying annuities
6.5. Fractional annuities
7.Valuation of Stocks and Bonds
7.1. Pricing a bond
7.2. Valuation of perpetual debt
7.2. Pricing common stock
8.Loan repayments
8.1. Constant amortization of principal
8.2. American loan
8.3. French loan
8.4. Balance of a financial operation. Mathematical Reserve. Changing Interest Rates
8.5. Operations with grace periods
1.1. The time value of the money
1.2. Financial Operation.
1.3. Present and future value
1.4. Financial law
2.Capitalization
2.1. Simple and Compound Interest
2.2. Financial Factors
2.3. Capitalization and discounting
2.4. Financial Sum
2.5. The frequency of compounding
3.Interest Rates
3.1. Simple and Compound Interest Rate
3.2. Interest Rates and Capitalization Laws
3.3. Nominal and Effective APR
3.4. Forward and Spot Interest Rates
3.5. The Effective APR as a Comparison Tool
4.Financial operations
4.1. Types
4.2. Commercial Characteristics
5.Short term operations
5.1. Simple Commercial Discounting
5.2. Discounting Commercial effects
5.3. T-bills
5.4. Repurchase agreements (REPOs)
6.Annuities and Perpetuities
6.1. Concept of annuity
6.2. Classification
6.3. Constant annuities: immediate, deferred, anticipated
6.4. Varying annuities
6.5. Fractional annuities
7.Valuation of Stocks and Bonds
7.1. Pricing a bond
7.2. Valuation of perpetual debt
7.2. Pricing common stock
8.Loan repayments
8.1. Constant amortization of principal
8.2. American loan
8.3. French loan
8.4. Balance of a financial operation. Mathematical Reserve. Changing Interest Rates
8.5. Operations with grace periods