Compound Interest

2.10 Terminology and Glossary of Symbols

Terminology

  • Dated value or equivalent value: The value of a sum of money at a specific time relative to its due date, including the amount of interest.
  • Effective interest rate: refers to the nominal interest rate that is compounded annually.
  • Future value (accumulated or maturity value) (FV): The value obtained when the amount of interest is added to the original principal.
  • Nominal rate (I/Y): the yearly or annual rate of interest.
  • Present value (principal or discounted value) (PV): The amount borrowed or invested at the beginning of a (loan or investment) period.
  • Term (t): Refers to either an investment term or loan term, which is the time period an amount is lent or borrowed.

Glossary of Symbols

Compound Interest

  • I/Y: Nominal interest rate (%)
  • C/Y: frequency of compounding period per year
  • P/Y: number of periodic payments per year; for compound interest problems it is equal to C/Y
  • PMT: Periodic payment; for compound interest problems it is zero.
  • i: Interest rate per compounding period (%)
  • t: time period of a loan or investment term (in years)
  • N: Number of compounding periods in the term
  • PV: Principal (Present Value) ($)
  • FV: Future (maturity) value ($)
  • CI or I: Compound Interest Amount ($)

Interest Conversion

  • NOM: Nominal interest rate (%)
  • EFF:  Effective interest rate (%)

Date

  • DT1: Beginning date
  • DT2: End date
  • DBD: The number of days between dates DT1 and DT2

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Mathematics of Finance Copyright © 2024 by Amir Tavangar is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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