EMI Sheet Detailed Notes
This guide explains the columns and formulas used in the EMI sheet to calculate loan payments, interest, and principal components.
Columns Description
- Loan Amount: This column shows the principal amount of the loan.
- Annual Interest Rate: The annual interest rate applicable to the loan.
- Loan Term (Years): The duration of the loan in years.
- Monthly Interest Rate: The monthly interest rate calculated as
Annual Interest Rate / 12
. - Number of Payments: The total number of monthly payments, calculated as
Loan Term * 12
. - Monthly EMI: The equated monthly installment, calculated using the PMT function.
EMI Calculation
The EMI is calculated using the PMT function:
PMT(rate, nper, pv) Where: - rate is the monthly interest rate - nper is the number of payments - pv is the loan amount (present value)
Example formula: =PMT(Monthly Interest Rate, Number of Payments, -Loan Amount)
Interest and Principal Breakdown
- Interest Payment (IPMT): The interest portion of the EMI for a specific period.
- Principal Payment (PPMT): The principal portion of the EMI for a specific period.
The IPMT and PPMT functions are used to break down the EMI into interest and principal components:
IPMT(rate, per, nper, pv) PPMT(rate, per, nper, pv) Where: - rate is the monthly interest rate - per is the period for which the interest or principal is calculated - nper is the number of payments - pv is the loan amount (present value)
Example formula for interest payment in the first period: =IPMT(Monthly Interest Rate, 1, Number of Payments, -Loan Amount)
Example formula for principal payment in the first period: =PPMT(Monthly Interest Rate, 1, Number of Payments, -Loan Amount)
Example
For a loan amount of $100,000 with an annual interest rate of 6% and a loan term of 10 years:
- Monthly Interest Rate: 0.5% (calculated as 6% / 12)
- Number of Payments: 120 (calculated as 10 * 12)
- Monthly EMI: $1,110.21 (calculated using
=PMT(0.5%, 120, -100000)
) - First Month Interest Payment: $500 (calculated using
=IPMT(0.5%, 1, 120, -100000)
) - First Month Principal Payment: $610.21 (calculated using
=PPMT(0.5%, 1, 120, -100000)
)
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