Canadian mortgage · semiannual compounding

Canadian mortgage · semiannual compounding: use mortgage principal, nominal annual rate compounded semiannually, amortization period. Review the formula, worked example and calculation steps.

Inputs

Use the units shown

Scenario estimate using the assumptions shown. Verify costs and rates with your provider; this is not a guaranteed return or lending decision.

RESULT
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Formula & explanation
Monthly r = (1+annual rate/200)^(1/6)−1; PMT = Pr/[1−(1+r)⁻ⁿ]

Variables & units

Mortgage principal
currency · minimum 0.01, maximum 1000000000000
Nominal annual rate compounded semiannually
% · minimum 0, maximum 100
Amortization period
years · minimum 1, maximum 50

Worked example

At 0%, a 120,000 mortgage over 10 years requires 1,000 monthly.

Assumptions

Fixed nominal annual rate compounded semiannually with monthly payments. The chosen amortization is not a guaranteed rate term. Excludes fees, insurance, taxes and prepayment rules; other Canadian products may use different conventions.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

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