Introduction

Investments

Lorenzo Naranjo

Spring 2026

About Me

  • Education
    • BS and MS in Engineering from PUC Chile
    • PhD in Finance from NYU Stern
  • Research Interests
    • Asset Pricing, Commodities, Corporate Restructuring, Derivatives, Fixed-Income
  • At WashU
    • I teach derivatives, investments and quantitative finance courses.
    • I am the Academic Director of the MS in Quantitative Finance and MS in FinTech
  • Before joining WashU, I taught at ESSEC Business School in Paris and University of Miami.

Teaching

  • Undergraduate
    • Financial Technology: Methods and Practice (FIN 4506)
    • Investments (FIN 4410)
    • Options, Futures and Derivative Securities (FIN 4510)
  • Graduate
    • CFAR Practicum (FIN 5019)
    • Data Analysis for Investments (FIN 5321)
    • Derivative Securities (FIN 5241)
    • Financial Technology: Methods and Practice (FIN 5506)
    • Fixed-Income (FIN 5250)
    • Investment Theory (FIN 5320)
    • Options and Futures (FIN 5240)
    • Quantitative Finance Projects (FIN 5560)
    • Stochastic Foundations for Finance (FIN 5380)
    • Topics in Quantitative Finance (FIN 5018)
  • Online Graduate
    • Data Analysis for Investments (FIN 6533) and Options and Futures (FIN 6524)

Teaching Philosophy

  • Your success is important to us!
  • Quantitative course
  • Emphasis on practice
  • Goal
    • Become fluent in modern investment theory and tools
  • Approach
    • Practice
    • Intuition

Nutshell

  • This class is all about holding assets
    • Real assets (land, buildings, equipment, and knowledge)
    • Financial assets (stocks, bonds, derivatives)
  • Financial markets and the economy
    • The informational role of financial markets
    • Consumption timing
    • Allocation of risk
    • Separation of ownership and management
  • Players in the financial markets
    • Firms
    • Households (individuals)
    • Government

Basic Principles of Finance

  1. Investors are insatiable
    • Their utility (happiness) increases with real wealth
    • More wealth today increases current and/or future consumption
  2. Investors are impatient
    • They prefer consumption now as opposed to in the future (present value of money)
  3. Investors are risk-averse
    • They dislike uncertainty/risk
    • They require compensation to take on risky investments

The Investment Process

  1. Define the investment objectives and constraints
    • Maximize (expected) return?
      • What about risk?
    • Maximize risk-adjusted (expected) return?
      • How to adjust for risk?
  2. Evaluation and selection of securities
    • Asset allocation vs. security selection (Top-down vs. Bottom-up)
    • Technical vs. fundamental analysis
    • Other Issues: diversification, taxes, income vs. growth
  3. Monitor performance relative to initial objectives and constraints

Classes of Securities

  • Fixed Income - Money Market
    • Treasury Bills, CDs, Commercial Paper, Repurchase Agreements (SOFR)
  • Fixed Income - Capital Market
    • Treasury Notes & Bonds, Corporate Bonds, Municipal Bonds, Federal Agency Debt, Securitized Assets, Eurobonds
  • Equity
    • Common Stock, Preferred Stock

Classes of Securities (continued)

  • Derivatives
    • Options, Forwards, Futures, Swaps, etc.
  • Alternatives
    • Private Markets: Private Equity / VC, Private Credit (Direct Lending, CLOs)
    • Real Assets: Real Estate, Infrastructure, Commodities
    • Digital Assets: Crypto, Tokenized Assets

Fixed Income – Money Market

  • Up to one year to maturity, highly liquid, low default risk
  • Types of securities:
    • Treasury Bills
      • Issued by US Treasury (government borrowing)
      • Considered “largely” risk-free
    • CDs
      • Issued by depository institutions (i.e. commercial, savings banks and credit unions)
    • Commercial Paper
      • Issued by corporations
    • Repurchase Agreements (i.e. repos and reverse repos)
      • Typically overnight borrowing/lending between the banks

Fixed Income – Capital Market

  • Over one year to maturity, various degrees of default risk
  • Types of securities:
    • Treasury Notes & Bonds
      • Issued by US Treasury with maturities of up to 10 years for notes and between 10 and 30 years for bonds
      • Make semiannual interest payments
      • No/low risk of default
    • Corporate Bonds
      • Different maturities, default risk and payment structure (unsecured corporate bonds are called debentures)
    • Municipal Bonds
      • Issued by state and local governments
      • Tax-exempt status
    • Federal Agency Debt
    • Issued by government agencies (Freddie Mac, Fannie Mae, Federal Home Loan Bank etc.)
    • Securitized Assets
      • E.g., claims on a pool of mortgages

Equity

  • Common Stock:
    • Shares of ownership in a firm
      • Voting rights
      • Dividends
    • Residual claim
    • Limited liability
  • Preferred stock (somewhat like a bond):
    • No voting rights
    • Fixed dividends that cumulate if not paid (bond-like feature)

Derivatives

  • A contract whose value depends on the price of an underlying asset
  • Primary uses: speculation and hedging
  • Options
    • One party has a right to trade, the other an obligation
    • Call: buyer has right to purchase; seller must sell if buyer exercises
    • Put: buyer has right to sell; seller must buy if buyer exercises
  • Forwards and Futures
    • Both parties obligated to trade at a future date
    • Long position agrees to buy / short position agrees to sell
    • Forwards - Customized contracts negotiated privately
    • Futures - Standardized contracts traded on exchanges