Loan Payment
The loan payment formula is used to calculate the payments on a loan. The formula used to calculate loan payments is exactly the same as the formula used to calculate payments on an ordinary annuity. A loan, by definition, is an annuity, in that it consists of a series of future periodic payments.
The PV, or present value, portion of the loan payment formula uses the first loan amount. the first loan amount is actually this value of the longer term payments on the loan, very similar to this value of an annuity.
It is important to stay the speed per period and number of periods according to each other within the formula. If the loan payments are made monthly, then the speed per period must be adjusted to the monthly rate and therefore the number of periods would be the amount of months on the loan. If payments are quarterly, the terms of the loan payment formula would be adjusted accordingly.
Use of Loan Payment Formula
The loan payment formula are often wont to calculate any sort of conventional loan including mortgage, consumer, and business loans. The formula doesn't differ supported what the cash is spent on, but only the terms of repayment deviate from a typical fixed amortization.
Simple interest and amortized loans will generally have an equivalent payment. The terms amortized and straightforward interest relate to what proportion of the payment is applied to principal and the way much is applied to interest for every payment.
Simple interest loans believe the date of payment to work out the quantity of interest paid with the remaining amount getting to principal. If a payment is formed early, the interest portion of the payment are going to be but if paid later. Less interest accrues when the quantity is paid early because the loan balance are going to be less thanks to the additional principal payments.
On the opposite hand, an amortized loan features a predetermined amount of interest paid per payment so an earlier payment has no affect on lowering the principal balance sooner. Different companies and their loans will have different policies on how they're amortized. An example of how a corporation may amortize their loan, is by re-amortizing per annum in order that extra principal payments to the loan will only enter effect after a year to lower the monthly interest portions of the payment.
Standard Loan Payment
The loan payment formula shown is used for a standard loan amortized for a specific period of time with a fixed rate. Examples of specialized loans that do not apply to this formula include graduated payment, negatively amortized, interest only, option, and balloon loans. An adjustable rate loan will use the formula shown but will need to be recalculated based on the remaining balance and remaining term for each new rate change.
Alternative Loan Payment Formula
The payment on a loan can also be calculated by dividing the original loan amount (PV) by the present value interest factor of an annuity based on the term and interest rate of the loan. This formula is conceptually the same with only the PVIFA replacing the variables in the formula that PVIFA is comprised of.
