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where: P is the principal amount borrowed, A is the periodic amortization payment, r is the periodic interest rate divided by 100 (nominal annual interest rate also divided by 12 in case of monthly installments), and n is the total number of payments (for a 30-year loan with monthly payments n = 30 × 12 = 360).
Now calculate the payment at a prevailing rate of 6.00%, principal of $94,499 and term of 27 years (original 30 years less 3 years until assumption) and the hypothetical payment is would be $589.66. Take the difference between this hypothetical payment and the actual assumable payment to calculate a monthly savings of $112.24.
Hire purchase. A hire purchase (HP), [1] also known as an installment plan, is an arrangement whereby a customer agrees to a contract to acquire an asset by paying an initial installment (e.g., 40% of the total) and repaying the balance of the price of the asset plus interest over a period of time.
Also known as the "Sum of the Digits" method, the Rule of 78s is a term used in lending that refers to a method of yearly interest calculation. The name comes from the total number of months' interest that is being calculated in a year (the first month is 1 month's interest, whereas the second month contains 2 months' interest, etc.).
In economics and finance, present value (PV), also known as present discounted value, is the value of an expected income stream determined as of the date of valuation.The present value is usually less than the future value because money has interest-earning potential, a characteristic referred to as the time value of money, except during times of negative interest rates, when the present value ...
On a 30-year amortizing loan, paying equal amounts monthly, one has the following WALs, for the given annual interest rates (and corresponding monthly payments per $100,000 principal balance, calculated via an amortization calculator and the formulas below relating amortized payments, total interest, and WAL):
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