MCPCalc

Student Loan Calculator

Calculate education debt payments across different repayment plans.

Scratchpad (not saved)

$

Total student loan balance

%

Annual interest rate

Repayment plan duration

$

Additional amount paid each month beyond minimum

What This Calculator Does

Project monthly payment and lifetime repayment cost for education debt using principal balance, interest rate, and term assumptions.

It combines Loan Balance, Interest Rate, Repayment Plan, Extra Monthly Payment to estimate Monthly Payment, Standard Payment, Payoff Time.

Formula & Method

Core equations: Standard monthly payment: M=B⋅r(1+r)n(1+r)n−1M = B \cdot \frac{r(1+r)^n}{(1+r)^n - 1} where BB is the loan balance, rr is the monthly interest rate, and nn is the term in months. Extra payments reduce the balance faster: each month I=B×rI = B \times r and Bnew=B−(M+E−I)B_{new} = B - (M + E - I) where EE is the extra payment. Inputs are applied in base units, then derived metrics are computed from the same equations and rounded for display.

Notation used in the formulas: RR = Monthly Payment; x1x_{1} = Loan Balance; x2x_{2} = Interest Rate; x3x_{3} = Repayment Plan; x4x_{4} = Extra Monthly Payment.

Method summary: inputs are normalized to consistent units, core equations are evaluated, then secondary values are derived and rounded for display.

Use this for graduation planning, refinancing comparisons, and budgeting around expected post-school cash flow.

Reference Book

Mathematics of Investment and Credit

Samuel A. Broverman · ACTEX Learning

A widely used text for time-value-of-money, annuity, loan, amortization, and bond calculations.

View Book

Inputs Used

  • Loan Balance: Total student loan balance
  • Interest Rate: Annual interest rate
  • Repayment Plan: Repayment plan duration
  • Extra Monthly Payment: Additional amount paid each month beyond minimum

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