An instalment sale is a financing arrangement where the buyer makes a series of scheduled payments to the seller over time to purchase an asset.
An instalment sale is a financing arrangement where the buyer makes a series of scheduled payments to the seller over time to purchase an asset. In the USA, this concept aligns with the UK’s hire purchase system, wherein the buyer gains immediate possession of the item but doesn’t attain full ownership until all instalments are paid.
Down Payment: An initial payment made to reduce the total amount financed.
Regular Instalments: Fixed payments scheduled over a set period.
Interest: Typically included in the instalments.
Ownership: Transfers to the buyer upon final payment.
Retail Instalment Sales: Common in consumer goods and automobiles.
Real Estate Instalment Sales: Used in property transactions, often termed as land contracts.
Business Equipment Financing: Businesses acquire machinery or equipment via instalments.
Instalment sales can be represented by the Amortization Formula:
Where:
\( P \) = Payment per period
\( r \) = Periodic interest rate
\( PV \) = Present value (loan amount)
\( n \) = Total number of payments
Scenario: $10,000 loan, 5% annual interest, 5-year term.
Monthly interest rate \( r = \frac{5%}{12} = 0.004167 \)
Total payments \( n = 5 \times 12 = 60 \)
Consumer Goods: Facilitates the purchase of high-value items.
Real Estate: Makes property acquisition more accessible.
Business: Enables capital investments without substantial initial outlay.