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Money & borrowing

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Money & borrowing

Balloon loan payment and schedule

Balloon loan payment and schedule: Regular payment = [principal − balloon/(1+r)^n] × r/[1−(1+r)^−n]; at zero rate use (principal−balloon)/n.

Money & borrowing

Bond yield to maturity solver

Bond yield to maturity solver: Solve the discounted coupon-plus-face-value equation by bisection over a nominal annual yield from −90% to 1,000%.

Money & borrowing

Compare three investment return scenarios

Compare three investment return scenarios: For each entered nominal annual return, apply rate/12 monthly before adding the end-of-month contribution.

Money & borrowing

Compare two loan offers

Compare two loan offers: Amortize both offers with rounded monthly interest and a final balance adjustment; compare all payments plus upfront fees.

Money & borrowing

Compound interest

Compound interest: Balance = P × (1 + r/n)^(n×years), without contributions

Money & borrowing

Credit card balance transfer comparison

Credit card balance transfer comparison: Compare monthly rounded-interest payoff under the original rate with a transferred balance including the percentage fee, promo months and a later rate.

Money & borrowing

Credit card payoff time

Estimate the time and interest needed to clear a credit card with fixed monthly repayments and no new spending.

Money & borrowing

Credit utilization ratio

Calculate the share of available revolving credit currently used by your entered balances.

Money & borrowing

Debt snowball vs avalanche comparison

Debt snowball vs avalanche comparison: Add monthly rounded interest, pay fixed minimums, then allocate all remaining budget to the smallest remaining balance (snowball) or highest rate (avalanche).

Money & borrowing

Debt-to-income ratio

Calculate the percentage of your gross monthly income used by required monthly debt payments.

Money & borrowing

Discount calculator

Discount calculator: Final price = price × (1 − discount/100)

Money & borrowing

Discounted payback period

Discounted payback period: enter your own figures, see the result and calculation method, and check the model’s assumptions.

Money & borrowing

Dividend income and yield planner

Dividend income and yield planner: Annual gross dividend = shares × dividend per payment × payments per year.

Money & borrowing

Effective annual rate

Effective annual rate: Effective rate (%) = [(1 + nominal/n)^n − 1] × 100

Money & borrowing

Equivalent annual cost (EAC)

Equivalent annual cost (EAC): enter your own figures, see the result and calculation method, and check the model’s assumptions.

Money & borrowing

Extra loan payment savings

Compare payoff time and interest with and without an additional monthly loan payment.

Money & borrowing

Fixed-coupon bond price

Value a fixed-coupon bond by discounting its remaining coupons and maturity payment at an entered yield.

Money & borrowing

How long will savings last?

Estimate how many month-end withdrawals savings can support under a fixed return and withdrawal amount.

Money & borrowing

Inflation and purchasing power

Compare a future price with the purchasing power of a fixed amount under an assumed annual inflation rate.

Money & borrowing

Internal rate of return (IRR)

Internal rate of return (IRR): enter your own figures, see the result and calculation method, and check the model’s assumptions.

Money & borrowing

Investment annual fee impact

Compare projected investment balances with and without a recurring annual asset-based fee under fixed growth assumptions.

Money & borrowing

Loan amortization schedule

See a monthly loan amortization schedule and download principal, interest and balance as a CSV file.

Money & borrowing

Loan payment / EMI

Loan payment / EMI: Monthly payment = P×r/[1−(1+r)^−n], r=annual/12; at zero interest P/n

Money & borrowing

Loan recast payment after a lump sum

Loan recast payment after a lump sum: Subtract the lump sum from principal and recalculate the fixed payment over the entered remaining term at the same rate.

Money & borrowing

Modified Dietz investment return

Modified Dietz investment return: Return = (ending − starting − net external flows)/(starting + Σ flow × remaining-days/period-days).

Money & borrowing

Modified internal rate of return (MIRR)

Modified internal rate of return (MIRR): enter your own figures, see the result and calculation method, and check the model’s assumptions.

Money & borrowing

Multiple discounts

Multiple discounts: Final price = price × (1−d₁/100) × (1−d₂/100); percentages do not add

Money & borrowing

Net present value (NPV)

Discount future net cash flows and subtract the initial outlay to estimate a project’s net present value.

Money & borrowing

One-time loan overpayment schedule

One-time loan overpayment schedule: Calculate the normal fixed payment, then apply one extra principal payment after the regular payment in the chosen month.

Money & borrowing

Present value of an annuity

Present value of an annuity: enter your own figures, see the result and calculation method, and check the model’s assumptions.

Money & borrowing

Profitability index

Profitability index: enter your own figures, see the result and calculation method, and check the model’s assumptions.

Money & borrowing

Real return after inflation

Adjust a nominal return for inflation over the same period to estimate the change in purchasing power.

Money & borrowing

Refinance fee break-even

Refinance fee break-even: New payment uses the fixed-rate annuity formula.

Money & borrowing

Rental cash-on-cash return

Rental cash-on-cash return: Annual cash flow = collected rent − operating costs − financing payments.

Money & borrowing

Rental property capitalization rate

Rental property capitalization rate: enter your own figures, see the result and calculation method, and check the model’s assumptions.

Money & borrowing

Savings goal contribution

Savings goal contribution: Monthly saving = max(0, target − current) ÷ months; zero growth model

Money & borrowing

Savings with monthly contributions

Project a savings balance from an initial deposit and recurring monthly contributions, with interest and timing shown.

Money & borrowing

Simple interest

Simple interest: Interest only = principal × annual rate × years

Money & borrowing

Time-weighted investment return

Time-weighted investment return: Compute each subperiod return as end/start −1 and geometrically link the factors.

Money & borrowing

Tip and split the bill

Calculate a tip and split the final bill equally, with a cent allocation that adds up to the total.

Money & borrowing

Year-by-year variable-return drawdown

Year-by-year variable-return drawdown: For each entered year apply its return to the current balance, then take the entered year-end withdrawal.

Money & borrowing

Rule of 72 comparison

Rule of 72 comparison: Approximate doubling years = 72 / annual percentage growth rate.

Money & borrowing

Level perpetuity present value

Level perpetuity present value: Present value of end-of-period level payments continuing forever = payment / discount rate.

Money & borrowing

Growing perpetuity present value

Growing perpetuity present value: Present value = next-period cash flow / (discount rate − growth rate).

Money & borrowing

Annuity due present value

Annuity due present value: Annuity-due present value = payment × [1−(1+r)^−n]/r × (1+r).

Money & borrowing

Periods to reach a savings goal

Periods to reach a savings goal: Solve target = start(1+r)^n + deposit[(1+r)^n−1]/r and round up to the next whole deposit period.

Money & borrowing

Education cost inflation target

Education cost inflation target: Inflate each annual education payment separately from today, then sum the nominal payments across the study years.

Money & borrowing

Retirement income gap

Retirement income gap: Monthly income gap = max(0, desired spending − pension income − other income).

Money & borrowing

Fund switch fee break-even

Fund switch fee break-even: Approximate break-even years = switching cost / annual fee savings on an unchanged balance.

Money & borrowing

Holding-period return after costs

Holding-period return after costs: Holding-period return = (sale proceeds + income − costs − initial investment) / initial investment × 100.

Money & borrowing

Bond modified duration price sensitivity

Bond modified duration price sensitivity: Modified duration = Macaulay duration / (1 + nominal yield/frequency), approximating fractional price sensitivity to yield.

Money & borrowing

Gordon dividend growth valuation

Gordon dividend growth valuation: Model value = last dividend × (1+growth) / (required return − growth), with required return greater than growth.

Money & borrowing

Preferred share current yield

Preferred share current yield: Current yield = annual preferred dividend / current price × 100.

Money & borrowing

Theoretical ex-rights price

Theoretical ex-rights price: TERP = (existing share count × old price + new share count × subscription price) / total share count.

Money & borrowing

Weighted average cost of capital

Weighted average cost of capital: WACC = equity weight × cost of equity + debt weight × cost of debt × (1−tax rate).

Money & borrowing

Debt service coverage ratio

Debt service coverage ratio: Debt service coverage ratio = annual net operating income / annual debt service for the same period.

Money & borrowing

Remaining loan term from payment

Remaining loan term from payment: Remaining months = −ln(1−monthly rate × balance/payment)/ln(1+monthly rate), rounded up; zero rate uses balance/payment.

Money & borrowing

Canadian mortgage semiannual compounding

Canadian mortgage semiannual compounding: Convert semiannual nominal rate j to monthly rate (1+j/2)^(1/6)−1, then apply the standard monthly amortising-payment formula.

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