Loan Calculator
Calculate amortized monthly payments, deferred loan maturity amounts, and bond present values with interest breakdowns.
Amortized Loan Calculator
Fixed monthly payments on a standard amortizing loan (mortgage, auto, personal).
Deferred Payment Loan Calculator
Interest accrues and the full balance is due at maturity — no periodic payments.
Bond Calculator
Present value of a lump-sum payment (face value) due at a future date.
Formulas
Payment = P × r(1+r)n / ((1+r)n − 1)
PV = FV / (1 + r/n)nt
PV = FV / (1 + r/n)nt
How to use this loan calculator
- Amortized: Enter loan amount, rate, and term to get fixed monthly payment and total interest.
- Deferred: See how much a no-payment loan grows to at maturity.
- Bond: Discount a future face value to today's present value.
Loan formulas
Monthly payment = P × [r(1+r)n] / [(1+r)n − 1]
Deferred maturity = P × (1 + rate/n)n×years
Bond PV = Face value / (1 + rate/n)n×years
Where P is principal, r is monthly rate, and n is total months for amortized loans.
Real-world uses
- Home buying: Estimate monthly mortgage payments before applying.
- Student loans: Model deferred-payment loans that accrue interest until graduation.
- Fixed income: Price zero-coupon bonds or lump-sum obligations.
Frequently Asked Questions
A loan repaid in equal periodic installments. Early payments are mostly interest; later payments apply more to principal.
Deferred loans require no payments until maturity — interest compounds on the full balance. Amortized loans have regular payments that reduce principal over time.
It computes the present value of a future lump-sum payment (face value), discounting at the given rate — useful for zero-coupon bonds or structured payouts.