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Financial Formulas and Tax Calculation Guide

May 15, 2025

Test 2 Reference Sheet

Section 3D: CPI

  • Percentage Formula:
    • ___________% of _____________ is _____________
  • Reference Values:
    • Reference value = absolute change
    • Compared value relative to reference value
    • Express reference value in decimal form__

Financial Formula Decision Making

Simple Interest

  • Formula: Future Value (A) = (1 + r * t) * Present Value (P)
    • Money grows at a simple interest rate for t years

Compound Interest

  • Interest is compounded n times per year for Y years
  • Formula: A = P * (1 + r/n)^(n*Y)
    • APR is the annual percentage rate in decimal form

Future Value of an Ordinary Annuity (Savings Plan)

  • Formula: A = P * ((1 + r/n)^(n*Y) - 1) / (r/n)
    • Starting balance: $0
    • Ending balance: $A
    • t is the number of years between starting and ending balance
    • Compounded n times per year
    • APR is the annual percentage rate in decimal form

Present Value of an Ordinary Annuity (Loan)

  • Formula: P = A * (1 - (1 + r/n)^(-n*Y)) / (r/n)
    • Starting balance: $P
    • Ending balance: $0
    • t is the number of years between starting and ending balance
    • Compounded n times per year
    • APR is the annual percentage rate in decimal form

Lump Sum vs. Regular Payments

  • Determine if payments are lump sum or regular equal payments
  • Consider if each payment increases or decreases the balance
  • Assess if interest is compounded
  • Additional formulas include:
    • A = P * e^(r*t)
    • P = A * (1 - e^(-r*t)) / r

Taxes Flow Chart (2019 Tax Code)

Steps to Calculate Taxes

  1. Gross Income: Total income for the year including wages, tips, profits, interest, dividends, etc.
  2. Adjustments to Gross Income: Portions not taxed immediately, e.g., IRA contributions, tax-deferred savings.
  3. Adjusted Gross Income (AGI): Gross income minus adjustments.
  4. Deductions and Exemptions: Subtract from AGI before tax calculation.
  5. Taxable Income: AGI minus deductions.
  6. Calculate Taxes Owed: Use taxable income and tax table rates.
  7. Tax Credits: Subtracted directly from taxes owed.
  8. Total Income Tax Owed: Calculated tax minus credits.
  9. Payments and Withholdings: Consider any pre-paid taxes or withholdings.
  10. Final Tax Bill: Total tax owed minus payments and withholdings.

Current Tax Rates for 2019

  • Tax Rates by Filing Status
    • Single, Married Filing Jointly, Head of Household, Married Filing Separately
    • Rates: 10%, 12%, 22%, 24%, 32%, 35%, 37%
  • Standard Deductions
    • Single: $12,200
    • Married Filing Jointly: $24,400
    • Head of Household: $18,350
    • Married Filing Separately: $12,200
  • Tax Credits
    • Child Tax Credit: $2,000 per child

Long-term Capital Gains Rates (2019)

  • 0% for income in 10% and 12% brackets
  • 15% for middle brackets
  • 20% for the 37% bracket

FICA (Social Security & Medicare)


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