gen math

Introduction to Financial Concepts

Key Terms

  • Lender or Creditor: Individual or institution providing funds to borrowers.

  • Borrower/Debtor: Individual or institution that borrows money or uses funds from a lender.

Loan Details

  • Origin or Loan Date: Date funds are disbursed to the borrower.

  • Maturity Date: Date by which the borrowed funds must be repaid in full.

Annuities

  • Annuity: A sequence of equal payments made at regular intervals.

    • Ordinary Annuity: Payments made at the end of each interval.

    • Annuity Due: Payments made at the beginning of each interval.

    • Simple Annuity: Payment intervals coincide with compounding intervals.

    • General Annuity: Payment intervals differ from compounding intervals.

Investment Terminology

  • Investment: The process of allocating resources to generate future benefits.

  • Stock: Indicates ownership in a public corporation.

    • Dividends: Payments made to shareholders, typically quarterly.

    • Capital Gains: Profits earned when stocks are sold at higher prices than their purchase prices.

  • Stock Exchange: A marketplace for buying and selling stocks.

  • Brokerage Firms: Companies that facilitate stock trading for investors.

Bonds and Their Features

  • Bonds: Debt securities issued by corporations or governments, acting as IOUs.

    • Coupon Rate: Interest rate paid to bondholders.

    • Maturity Date (Bonds): Date when payment to bondholders is due.

    • Par Value: The amount bondholders receive at maturity.

Financial Systems and Intermediaries

  • Financial System: Framework for transferring funds between savers and borrowers.

  • Financial Intermediaries: Institutions that channel savings to borrowers.

    • Mutual Fund: Combines funds from multiple investors to diversify investments.

    • Hedge Fund: A private investment fund employing high-risk strategies for potentially large returns.

    • Pension Fund: Retirement fund established for employees.

Interest Types

  • Simple Interest: Calculated solely on the principal amount.

  • Compound Interest: Calculated on the principal plus any accumulated interest.

Stockholders

  • Common Stockholders: Hold voting rights and share in profits.

  • Preferred Stockholders: Receive fixed dividends but usually lack voting rights.

    • Par Value: Initial value of stock at the time of issuance.

  • Total Net Worth: Sum of a company’s assets and retained earnings.

  • Stock Yield: Indicator of investment profitability.

  • Price-Earnings Ratio: Ratio of stock price to earnings per share.

  • IPO (Initial Public Offering): First sale of stock by a private company to the public.

Types of Loans

  • Bonds as Debt: Represents money owed to investors.

    • Government Bonds: Bonds issued by government entities.

    • Corporate Bonds: Offered by businesses to raise capital.

  • Types of Loans:

    • Business Loans: Financing for business operations.

    • Consumer Loans: Individual borrowing for personal use.

    • Emergency Loans: Short-term loans for urgent situations.

Loan Security and Guarantees

  • Collateral: Assets pledged to secure a loan.

  • Guarantor: Person agreeing to pay debt if the borrower fails to do so.

Logical Propositions

Basic Concepts

  • Proposition: A declarative statement.

    • Simple Proposition: A single declarative statement.

    • Compound Proposition: A conjunction of two or more statements.

Logical Connectives

  • Conjunction: True only if all component statements are true.

  • Disjunction:

    • Inclusive: True if at least one statement is true.

    • Exclusive: True if one statement is true and the other is false.

  • Conditional Statements: Dependent on the truth value of the last proposition.

  • Biconditional Statements: True if propositions match in truth value.

  • Negation: Logical operation that inverts the truth value of a proposition.

robot