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Loan Calculator Delayed First Payment

Delayed Payment Loan Formula:

\[ PMT = P \times (1 + r)^{delay} \times \frac{r \times (1 + r)^n}{(1 + r)^n - 1} \]

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1. What is the Delayed Payment Loan Calculator?

This calculator computes the monthly payment for a loan where the first payment is delayed. During the delay period, interest continues to accrue on the principal amount.

2. How Does the Calculator Work?

The calculator uses the delayed payment loan formula:

\[ PMT = P \times (1 + r)^{delay} \times \frac{r \times (1 + r)^n}{(1 + r)^n - 1} \]

Where:

Explanation: The formula accounts for interest compounding during the delay period before calculating the standard amortization payment.

3. Importance of Accurate Loan Calculation

Details: Properly calculating payments with delayed start dates helps borrowers understand their true repayment obligations and plan their finances accordingly.

4. Using the Calculator

Tips: Enter the principal amount, monthly interest rate (as decimal), total number of payments, and delay period in months. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why would a loan have delayed payments?
A: Common for student loans (grace periods), construction loans, or business loans where income starts later.

Q2: How does the delay affect total interest paid?
A: Interest accrues during the delay period, increasing both the effective principal and total interest paid.

Q3: Can this be used for mortgage calculations?
A: Yes, for mortgages with delayed first payments, though most standard mortgages begin payments immediately.

Q4: What's the difference between APR and monthly rate?
A: APR is annual rate; monthly rate = APR/12. This calculator requires the monthly rate as decimal (e.g., 0.01 for 1% monthly).

Q5: Does this account for payment holidays?
A: This calculates a consistent delay at loan start. For intermittent payment holidays, more complex calculations are needed.

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