DeFi Lab

This vault is a structured study environment for Finance Certification 1 preparation with a focus on DeFi development and practical application. Each topic area contains detailed study notes, learning objectives, and cross-references that mirror the Finance’s curriculum structure. Use the wikilinks throughout the vault to navigate between related concepts and build a connected understanding of the material.

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Topic Outlines

Quantitative Methods

Rates and Returns

This section covers interpreting interest rates as required rates of return, discount rates, or opportunity costs, and explaining an interest rate as the sum of a real risk-free rate and premiums that compensate investors for bearing distinct types of risk. Students should be able to calculate and interpret different approaches to return measurement over time, compare money-weighted and time-weighted rates of return, evaluate portfolio performance based on these measures, and work with annualized return measures and continuously compounded returns.

Time Value of Money in Finance

Students learn to calculate and interpret present value (PV) of fixed-income and equity instruments based on expected future cash flows, interpret implied returns and growth rates given PV and cash flows, and explain the cash flow additivity principle — including its importance for the no-arbitrage condition and its use in calculating implied forward interest rates, forward exchange rates, and option values.

Statistical Measures of Asset Returns

This section covers calculating, interpreting, and evaluating measures of central tendency, dispersion, skewness, and kurtosis to address investment problems, as well as interpreting correlation between two variables.

Probability Trees and Conditional Expectations

Students work with expected values, variances, and standard deviations applied to investment problems. This includes formulating problems as probability trees, using conditional expectations, and calculating updated probabilities via Bayes’ formula.

Portfolio Mathematics

This section addresses the expected value, variance, standard deviation, covariances, and correlations of portfolio returns. Students also learn to define shortfall risk, calculate the safety-first ratio, and identify optimal portfolios using Roy’s safety-first criterion.

Simulation Methods

Covers the relationship between normal and lognormal distributions (and why lognormal is used for asset price modeling), Monte Carlo simulation and its investment applications, and bootstrap resampling for conducting simulations based on observed data.

Estimation and Inference

Students compare sampling methods (simple random, stratified random, cluster, convenience, and judgmental) and their implications for sampling error. Key concepts include the central limit theorem, standard error of the sample mean, and resampling techniques (bootstrap, jackknife).

Hypothesis Testing

This section covers hypothesis testing components — statistical significance, Type I and Type II errors, and the power of a test. Students construct hypothesis tests, determine statistical significance, and compare parametric and nonparametric tests.

Parametric and Non-Parametric Tests of Independence

Students learn to test whether the population correlation coefficient equals zero (using both parametric and nonparametric approaches) and to explain tests of independence based on contingency table data.

Simple Linear Regression

Covers the simple linear regression model, least squares estimation, assumption testing via residual analysis, measures of fit, ANOVA in regression, prediction intervals, and different functional forms of simple linear regressions.

Introduction to Big Data Techniques

This section describes fintech aspects relevant to financial data gathering and analysis, introduces Big Data, AI, and machine learning concepts, and covers their applications to investment management.

Economics

The Firm and Market Structures

Students determine and interpret breakeven and shutdown points of production, examine how economies and diseconomies of scale affect costs under perfect and imperfect competition, and describe the characteristics of perfect competition, monopolistic competition, oligopoly, and pure monopoly. This includes supply and demand relationships, optimal pricing, and the use and limitations of concentration measures.

Understanding Business Cycles

Covers the business cycle and its phases, credit cycles, and how resource use, consumer/business activity, housing sector activity, and external trade sector activity vary over the cycle. Students learn to measure these using economic indicators.

Fiscal Policy

Students compare monetary and fiscal policy, describe the roles, objectives, and tools of fiscal policy, and explain implementation challenges. The section addresses whether national debt relative to GDP matters and how to determine if a fiscal policy is expansionary or contractionary.

Monetary Policy

Covers central bank roles and objectives, monetary policy tools and the transmission mechanism, and the relationships between monetary policy and economic growth, inflation, interest rates, and exchange rates. Students contrast inflation, interest rate, and exchange rate targeting approaches.

Introduction to Geopolitics

Addresses geopolitics from cooperation and competition perspectives, its relationship with globalization, and the functions of international organizations (World Bank, IMF, WTO). Students learn to describe geopolitical risk, the tools of geopolitics, and their impact on investments.

International Trade

Students describe benefits and costs of international trade, compare trade restrictions (tariffs, quotas, export subsidies) and their implications, and explain the motivations for trading blocs, common markets, and economic unions.

Capital Flows and the FX Market

Covers the foreign exchange market’s functions and participants, nominal vs. real exchange rates, currency percentage changes, exchange rate regimes, and the objectives of government-imposed capital restrictions.

Exchange Rate Calculation

Students calculate and interpret currency cross-rates, explain the arbitrage relationship between spot and forward exchange rates and interest rates, and interpret forward discounts or premiums.

Corporate Issuers

Organizational Forms, Corporate Issuer Features, and Ownership

Students compare organizational forms of businesses, describe key features of corporate issuers, and compare publicly and privately owned corporate issuers.

Investors and Other Stakeholders

Covers comparing financial claims and motivations of lenders and shareholders, describing stakeholder groups and their interests, and examining ESG factors considered by investors.

Corporate Governance: Conflicts, Mechanisms, Risks, and Benefits

Addresses the principal-agent relationship, stakeholder conflicts, governance mechanisms, and the risks of poor governance versus benefits of effective governance and stakeholder management.

Working Capital and Liquidity

Students explain the cash conversion cycle, compare liquidity levels across issuers, and describe methods for managing working capital and liquidity — concepts applied in the Laundromat Case Study.

Capital Investments and Capital Allocation

Covers types of capital investments, the capital allocation process, IRR, ROIC, allocation principles, common pitfalls, and real options relevant to capital investments. The HP 12c NPV and IRR functions are directly applicable here.

Capital Structure

Students calculate and interpret WACC, explain factors affecting capital structure, describe the Modigliani-Miller propositions, and identify optimal and target capital structures.

Business Models

Describes key features and various types of business models.

Financial Statement Analysis

Introduction to Financial Statement Analysis

Students describe the steps in the FSA framework (applied practically in the Laundromat Case Study), the roles of financial statement analysis, the importance of regulatory filings and supplementary information, implications of alternative reporting systems, and information sources beyond annual and interim reports.

Analyzing Income Statement

Covers revenue and expense recognition principles, non-recurring items and changes in accounting policies, EPS calculation for simple and complex capital structures, and performance evaluation using common-size income statements and financial ratios.

Analyzing Balance Sheets

Students explain financial reporting and disclosures related to intangible assets, goodwill, financial instruments, and non-current liabilities, and calculate and interpret common-size balance sheets and related ratios.

Analyzing Statements of Cash Flows I

Describes the linkage between cash flow statement, income statement, and balance sheet. Students learn direct and indirect methods, the conversion between them, and contrast IFRS and US GAAP treatment.

Analyzing Statements of Cash Flows II

Students analyze reported and common-size cash flow statements and calculate free cash flow to the firm (FCFF), free cash flow to equity (FCFE), and coverage ratios.

Analysis of Inventories

Covers inventory measurement at lower of cost and net realisable value, the effects of inflation and deflation on different valuation methods, and key disclosure considerations for analysts.

Analysis of Long-Term Assets

Compares reporting of purchased, internally developed, and acquired intangible assets. Students evaluate impairment and derecognition effects and analyze PP&E disclosures.

Topics in Long-Term Liabilities and Equity

Covers lease reporting from lessor and lessee perspectives, defined contribution/benefit and stock-based compensation plans, and related disclosures.

Analysis of Income Taxes

Students contrast accounting profit, taxable income, taxes payable, and income tax expense. Covers deferred tax liabilities and assets, effective vs. statutory vs. cash tax rates, and disclosure analysis.

Financial Reporting Quality

Addresses the spectrum of reporting quality, conservative vs. aggressive accounting, management motivations for low-quality reporting, disciplinary mechanisms, non-GAAP presentation choices, earnings management techniques, and warning signs of manipulation.

Financial Analysis Techniques

Students learn ratio analysis tools (activity, liquidity, solvency, profitability), DuPont decomposition of ROE, industry-specific ratios, and ratio-based earnings forecasting. The HP 12c percentage functions support these calculations.

Introduction to Financial Statement Modeling

Covers sales-based pro forma modeling, behavioral factors affecting analyst forecasts, Porter’s five forces impact on prices and costs, forecasting under inflation/deflation, and forecast horizon considerations.

Equity Investments

Market Organization and Structure

Students explain the functions of the financial system, classify assets and markets, describe securities and intermediaries, compare investor positions and order types, calculate leverage ratios and margin call prices, and describe characteristics of well-functioning markets and objectives of regulation.

Security Market Indexes

Covers index construction, weighting methods (price-weighted, value-weighted, equal-weighted), rebalancing and reconstitution, and types of equity, fixed-income, and alternative investment indexes.

Market Efficiency

Addresses market efficiency concepts, the market value vs. intrinsic value distinction, weak/semi-strong/strong-form efficiency, implications for fundamental and technical analysis, market anomalies, and behavioral finance.

Overview of Equity Securities

Students describe equity security types and their characteristics, voting rights across equity classes, public vs. private equity, non-domestic investment methods, risk-return characteristics, and the relationship between cost of equity, ROE, and required return.

Company Analysis: Past and Present

Covers the elements of a thorough research report, business model determination, revenue drivers and pricing power evaluation, and assessment of operating profitability, working capital, and capital structure.

Industry and Competitive Analysis

Students learn industry classification methods, size and growth analysis, Porter’s Five Forces, PESTLE frameworks, and competitive strategy evaluation.

Company Analysis: Forecasting

Covers forecasting principles for revenue, operating expenses, working capital, capital investments, and capital structure, including the use of scenario analysis.

Equity Valuation: Concepts and Basic Tools

Students evaluate over/undervaluation, describe valuation model categories, work with dividend payment mechanics, apply present value models (Gordon growth, two-stage DDM), calculate price multiples (P/E, P/CF, P/S, P/B), and describe enterprise value and asset-based models. The HP 12c TVM functions are essential for DDM calculations.

Fixed Income

Fixed-Income Instrument Features

Students describe the features of fixed-income securities, bond indenture contents, and contrast affirmative and negative covenants.

Fixed-Income Cash Flows and Types

Covers common cash flow structures, contingency provisions benefiting issuers vs. investors, and the legal, regulatory, and tax considerations affecting issuance and trading.

Fixed-Income Issuance and Trading

Describes market segments, issuer/investor participants, fixed-income index types, and compares primary and secondary markets to equity markets.

Fixed-Income Markets for Corporate Issuers

Students compare short-term funding alternatives, describe repos and their risk/benefit profile, and contrast investment-grade vs. high-yield corporate funding.

Fixed-Income Markets for Government Issuers

Covers funding choices by sovereign and non-sovereign governments, quasi-government entities, and supranational agencies, contrasting government and corporate issuance.

Fixed-Income Bond Valuation: Prices and Yields

Students calculate bond prices given YTM (on or between coupon dates), identify price-coupon-maturity-yield relationships, and describe matrix pricing. The HP 12c f PRICE and f YTM functions handle these calculations directly.

Yield and Yield Spread Measures for Fixed-Rate Bonds

Covers annual yield calculation for varying compounding periods and yield spread comparison, calculation, and interpretation.

Yield and Yield Spread Measures for Floating-Rate Instruments

Students calculate and interpret yield spread measures for floaters and yield measures for money market instruments.

The Term Structure of Interest Rates: Spot, Par, and Forward Curves

Defines spot rates and the spot curve, par and forward rates, and teaches students to calculate between them and compare all three curves.

Interest Rate Risk and Return

Covers sources of return from fixed-rate bonds, the relationship between holding period return, Macaulay duration, and investment horizon.

Yield-Based Bond Duration Measures and Properties

Students define, calculate, and interpret modified duration, money duration, and PVBP, and explain how maturity, coupon, and yield level affect interest rate risk.

Yield-Based Bond Convexity and Portfolio Properties

Covers convexity calculation and the convexity adjustment, percentage price change estimation using duration and convexity, and portfolio-level measures and their limitations.

Curve-Based and Empirical Fixed-Income Risk Measures

Explains effective duration and convexity for bonds with embedded options, key rate duration, and the distinction between empirical and analytical duration.

Credit Risk

Describes credit risk components (probability of default, loss given default), credit rating agency uses and limitations, and factors influencing yield spread levels and volatility.

Credit Analysis for Government Issuers

Covers special considerations for evaluating sovereign and non-sovereign government debt credit.

Credit Analysis for Corporate Issuers

Students evaluate qualitative and quantitative creditworthiness factors, calculate credit analysis ratios, and describe debt seniority, security, and bankruptcy priority.

Fixed-Income Securitization

Explains securitization benefits and describes the parties and roles involved.

Asset-Backed Security (ABS) Instrument and Market Features

Covers covered bonds, credit enhancement structures, non-mortgage ABS types and risks, and collateralized debt obligations.

Mortgage-Backed Security (MBS) Instrument and Market Features

Addresses prepayment risk, time tranching, residential mortgage features, MBS types (pass-throughs, CMOs), and CMBS characteristics and risks.

Derivatives

Derivative Instrument and Derivative Market Features

Students define derivatives, describe their basic features, and contrast OTC and exchange-traded markets.

Forward Commitment and Contingent Claim Features and Instruments

Covers defining and comparing forwards, futures, swaps, options, and credit derivatives. Students determine expiration values and profits and contrast forward commitments with contingent claims.

Derivative Benefits, Risks, and Issuer and Investor Uses

Describes derivative benefits and risks and compares their use among issuers and investors.

Arbitrage, Replication, and the Cost of Carry in Pricing Derivatives

Explains how arbitrage and replication are used in derivative pricing and the distinction between spot price, expected future price, and cost of carry.

Pricing and Valuation of Forward Contracts and for an Underlying with Varying Maturities

Students explain forward contract value and price determination at initiation, during the contract, and at expiration, plus forward rate determination for interest rate forwards.

Pricing and Valuation of Futures Contracts

Compares forward and futures contract values and prices and explains why they differ.

Pricing and Valuation of Interest Rates and Other Swaps

Describes how swaps relate to series of forward contracts and contrasts swap value and price.

Pricing and Valuation of Options

Covers exercise value, moneyness, time value, the role of arbitrage and replication in option pricing, and the factors determining option value.

Option Replication Using Put-Call Parity

Students explain put-call parity and put-call forward parity for European options.

Valuing a Derivative Using a One-Period Binomial Model

Explains one-period binomial model valuation and the concept of risk neutrality in derivatives pricing.

Alternative Investments

Alternative Investment Features, Methods, and Structures

Students describe features and categories of alternative investments, compare direct, co-investment, and fund methods, and describe common ownership and compensation structures.

Alternative Investment Performance and Returns

Covers performance appraisal of alternative investments and calculating returns both before and after fees.

Investments in Private Capital: Equity and Debt

Explains features and investment characteristics of private equity and private debt, plus the diversification benefits of private capital.

Real Estate and Infrastructure

Covers features, characteristics, and investment characteristics of real estate and infrastructure investments.

Natural Resources

Students explain features of raw land, timberland, farmland, and commodities, and analyze risk, return, and diversification sources among natural resource investments.

Hedge Funds

Describes hedge fund investment features, forms and vehicles, and analyzes risk, return, and diversification sources.

Introduction to Digital Assets

This section is particularly relevant to the DeFi focus of this vault. Students describe financial applications of distributed ledger technology, explain digital asset investment features, describe investment vehicles, and analyze risk, return, and diversification sources among digital assets.

Portfolio Management

Portfolio Risk and Return: Part I

Students describe major asset class characteristics, explain risk aversion and optimal portfolio selection via the capital allocation line, and calculate mean, variance, covariance, and portfolio standard deviation from historical data. Covers correlation effects, the efficient frontier, and the global minimum-variance portfolio.

Portfolio Risk and Return: Part II

Covers combining risk-free assets with risky portfolios, the CAL and CML, systematic vs. nonsystematic risk, return generating models, beta calculation, the CAPM and SML, and performance measures including the Sharpe ratio, Treynor ratio, $M^2$, and Jensen’s alpha.

Portfolio Management: An Overview

Describes the portfolio approach to investing, management process steps, investor types and needs, defined contribution/benefit plans, the asset management industry, and mutual funds vs. other pooled products.

Basics of Portfolio Planning and Construction

Students learn the IPS rationale and components, risk/return objective development, willingness vs. capacity to take risk, investment constraints (liquidity, time horizon, tax, legal, unique circumstances), asset class specification, portfolio construction principles, and ESG integration.

The Behavioral Biases of Individuals

Covers cognitive errors vs. emotional biases, commonly recognized biases and their implications for financial decision making, and how biases lead to market characteristics unexplained by traditional finance.

Introduction to Risk Management

Students define risk management and governance, describe framework features, explain risk tolerance effects, describe risk budgeting, identify financial and non-financial risk sources and their interactions, and evaluate methods for measuring and modifying risk exposures.

Ethical and Professional Standards

Ethics and Trust in the Investment Profession

Students explain ethics, the role of codes of ethics in defining professions, how professions establish trust, and the need for high ethical standards in investment management. Covers professionalism, challenges to ethical behavior, ethical vs. legal standards, and an ethical decision-making framework.

Code of Ethics and Standards of Professional Conduct

Describes the Finance Professional Conduct Program structure, the six Code of Ethics components, the seven Standards of Professional Conduct, and the ethical responsibilities each Standard requires.

Guidance for Standards I-VII

Students demonstrate application of the Code and Standards to professional integrity situations, recommend practices to prevent violations, and identify conforming vs. violating conduct.

Introduction to the Global Investment Performance Standards (GIPS)

Covers why GIPS was created, who benefits from compliance, key concepts for firms, the purpose of composites in performance reporting, compliance fundamentals, and independent verification.

Ethics Application

Students evaluate practices, policies, and conduct relative to the Code and Standards, explaining how they do or do not constitute violations.