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All 5 lessons in Financial Mathematics I

  1. 1. Simple Interest: The Four-Variable Relationship

    Apply the formula $I = \frac{PRT}{100}$ to find simple interest and the total amount $A = P + I$, rearrange it to find the principal, rate, or time, and convert a time given in months into years before substituting.

  2. 2. Compound Interest: When Interest Earns Interest

    Explain why compound interest outgrows simple interest, apply $A = P\left(1 + \frac{R}{100}\right)^T$ and its $n$-period form to find the compound amount and interest, and rearrange to find the principal or rate.

  3. 3. Depreciation: Compound Growth in Reverse

    Distinguish reducing-balance from straight-line depreciation, apply $V = P\left(1 - \frac{R}{100}\right)^T$ and $V = P\left(1 - \frac{RT}{100}\right)$ to find book value, and find the depreciation rate from the initial and final values.

  4. 4. Hire Purchase: Simple Interest in a Consumer Context

    Identify the parts of a hire purchase agreement, calculate the total HP cost and excess cost, find the monthly installment from the cash price, deposit, rate, and term, and apply simple interest to the outstanding balance rather than the full cash price.

  5. 5. Annuities and Real-Life Financial Calculations

    Apply the ordinary annuity formula $FV = R\,\frac{(1+i)^n - 1}{i}$, adjust for an annuity-due by multiplying by $(1+i)$, rearrange to find the regular deposit in a sinking fund, and find bond maturity values and flat-rate loan repayments.

Unit code SSNP9