Introduction to Financial Theory - Financial Theory And Applications | Lecture Notes - YNetStudyHub
Financial Theory And Applications

Introduction to Financial Theory

2 mins read 399 words Topic 1 of 9
Study with AI Tutor Learn 2× faster Instant Q&A Quiz practice
Launch AI Lesson
Text Size:
PDF Save

This topic will cover the basic concepts of financial theory, including the time value of money, risk and return, financial markets, and the role of financial institutions in the economy.

Introduction to Financial Theory
Key concepts, foundational models, and the logical framework that underpins modern finance.


1. What Is Financial Theory?

Aspect Description
Definition A systematic body of ideas that explains how financial markets work, how assets are priced, and how individuals and firms make optimal financial decisions.
Goal Explain observed market behavior, predict future outcomes, and provide a basis for sound financial decision‑making.
Scope • Asset pricing (stocks, bonds, derivatives)
• Portfolio selection
• Capital structure
• Market efficiency
• Risk management
• Behavioral anomalies

2. Core Assumptions

Assumption Typical Formulation Implication
Rational agents Investors maximize expected utility. Choices are consistent with risk‑return trade‑off.
Efficient markets Prices fully reflect all available information. No systematic arbitrage opportunities.
Homogeneous expectations All investors share the same probability beliefs about future cash flows. Leads to a unique equilibrium price.
Frictionless trading No taxes, transaction costs, or short‑sale restrictions. Allows continuous rebalancing of portfolios.
Divisible assets Securities can be bought in any quantity. Enables precise portfolio construction.
Risk‑free borrowing/lending Exists a security with a certain return (r_f). Provides a baseline for measuring risk premiums.

Real‑world finance relaxes many of these assumptions; extensions (e.g., behavioral finance, market microstructure) address the gaps.


3. Fundamental Models

3.1 Time Value of Money (TVM)

  • Present Value (PV): (PV = \frac{CF}{(1+r)^t})
  • Future Value (FV): (FV = PV \times (1+r)^t)
  • Annuities & Perpetuities: Standard formulas for streams of equal cash flows.

3.2 Portfolio Theory (Markowitz, 1952)

  • Objective: Minimize portfolio variance for a given expected return (or maximize return for a given variance).
  • Key Equations
    • Expected portfolio return: (\mathbb{E}[R_p] = \sum_{i} w_i \mathbb{E}[R_i])
    • Portfolio variance: (\sigma_p^2 = \sum_{i}\sum_{j} w_i w_j \sigma_{ij})
  • Efficient Frontier: Set of optimal portfolios; the tangent portfolio (market portfolio) is the point where the Capital Market Line (CML) touches the frontier.

3.3 Capital Asset Pricing Model (CAPM)

  • Equation: [ \mathbb{E}[R_i] = r_f + \beta_i \big(\mathbb{E}[R_M] - r_f\big) ]
    • (\beta_i = \frac{\operatorname{Cov}(R_i,R_M)}{\operatorname{Var}(R_M)})
  • Interpretation: Expected return = risk‑free rate + systematic risk premium.
  • Implications
    • Only systematic (market) risk is priced.
    • All assets lie on the Security Market Line (SML).

3.4 Arbitrage Pricing Theory (APT)

  • Form: (\mathbb{E}[R_i] = r_f + \sum
Topic Concept Map
Ask AI Tutor 24/7 Live

Click any prompt to explore this topic interactively with your AI Tutor:

Explain in simple terms Give me 3 practice exam questions Summarize key principles in 5 points
Unit Syllabus 9 Topics
Introduction to Financial Theory
Portfolio Theory and Asset Allocation
Upgrade
Capital Market Theory
Upgrade
Behavioral Finance
Upgrade
Corporate Finance
Upgrade
Financial Risk Management
Upgrade
Financial Modeling and Valuation
Upgrade
International Finance
Upgrade
Financial Regulation and Ethics
Upgrade