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Flat rate (finance)
Flat interest rate mortgages and loans calculate interest based on the amount of money a borrower receives at the beginning of a loan. However, if repayment is scheduled to occur at regular intervals throughout the term, the average amount to which the borrower has access is lower and so the effective or true rate of interest is higher. Only if the principal is available in full throughout the loan term does the flat rate equate to the true rate. This is the case in the example to the right, where the loan contract is for 400,000 Cambodian riels over 4 months. Interest is set at 16,000 riels (4%) a month while principal is due in a single payment ''at the end''.
==Flat rate calculations==
Loans with interest quoted using a flat rate originated before currency was invented and continued to feature regularly up to and beyond the 20th century within developed countries. More recently, they have also come to be used in the informal economy of developing countries, frequently adopted by microcredit institutions. One reason for the popularity of flat rates is their ease of use. For example, a loan of $1,200 can be structured with 12 monthly repayments of $100, plus interest, due on the same dates, of 1% ($12) a month, resulting in a total monthly payment of $112. However, the borrower only has access to $1,200 at the very beginning of the loan. Since $100 in principal is being paid each month, the average amount to which the borrower has access during the loan term is approximately half, in fact just over $600. For this reason, as mentioned above, the true rate of interest is nearly double. "A general rule known by financial managers is that when flat interest is used, the APR is almost twice as much as the quoted interest rate."〔Chuck Waterfield. 'The role of interest rates in microfinance'. In ''Microfinance India: State of the Sector Report 2008'' (N. Srinivasan, Sage Publications, Los Angeles, New Delhi, 2009), p. 63.〕 〔For detailed comparison of amortization charts, see Consultative Group to Assist the Poorest, 'Microcredit interest rates' Occasional Paper #1, August 1996, pp. 4-8〕
In order to show the true rate underlying a flat rate, it is necessary to use the declining balance amortization schedule, dividing the total cost to the borrower by the average amount outstanding. In the first three examples on the right the borrower is quoted 1% a month. These are loans of $1,200 each, amortized with level payments over 4, 12 and 24 months. In the 4-month example, the borrower will make four equal payments of $300 in principal and 4 equal payments of $12 (1% of $1,200) in interest. The total cost of this loan is the principal plus $48.00 in interest, whilst the average amount outstanding was approximately $600. This yields an annualized flat rate of 12%, and an annualized effective or true rate of 19.05%. The true rate can also be calculated by iteration from the amortization schedule, using the compound interest formula.
To keep quoted interest rates as low as possible, institutions also often call for one-time origination or administration fees. However, an origination fee as low as 4% of the total loan can have a large impact on the borrower's total costs. This is especially true for short-term loans, a typical characteristic of microcredit. As these fees represent an inherent cost of borrowing, they must also be added to the charge for interest in order to show the effective APR.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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