What it means
At its simplest, discounting is compound interest run backwards. If $100 grows to $110 in a year at 10%, then $110 received in a year is worth $100 today.
The discounting mechanism applies this logic to any stream of future payments, large or small. The mechanism has three parts: the future amounts, the timing of each, and the discount rate.
Finance teams combine them to value bonds, projects, businesses, leases and pensions. A higher rate or a longer wait always reduces the present value.
In banking and trade finance, discounting has a practical meaning. A business with an unpaid customer invoice or a bill of exchange can sell it to a bank for less than its face value, receiving cash immediately.
The bank collects the full amount when the customer pays, and its profit is the discount. Central banks have a related mechanism.
They can lend to commercial banks against eligible bills or other assets at a stated rate, often called the discount rate or the rediscount rate. This gives the banking system access to cash when it needs it and helps the central bank guide short-term interest rates.
A nuance is that the mechanism is only as good as its inputs. Wrong cash flow forecasts or an inappropriate rate produce a precise-looking but misleading value.
Careful analysts therefore test several rates and check that the rate matches the risk of the cash flows being valued. Accounting standards rely on the same mechanism in many places.
Long-term receivables, lease liabilities, pension obligations and provisions that will be settled years from now are often shown at their discounted value, with the discount unwinding as finance cost over time. A finance team that understands the mechanism can see why these balances grow even when no new transaction has occurred.
In practice
Real-world examples.
Example
A finance team values a project that will pay $50,000 a year for five years. It discounts each year's payment at 8% and adds them to get a present value. The result is compared with the cost of the project.
Example
A garment exporter holds a $200,000 invoice from a large retailer payable in 90 days. It sells the invoice to a bank at a discount and receives cash immediately. The bank collects the full amount from the retailer when the invoice falls due.
Example
A commercial bank runs short of cash at the end of a busy day and borrows from the central bank against high-quality bills. The central bank charges its stated discount rate. The loan is repaid the next morning.
Formula
Calculation
Present value = future value / (1 + rate) ^ years
A customer owes a company $133,100 in 3 years, and the appropriate discount rate is 10% a year. Present value = $133,100 / (1.10 x 1.10 x 1.10) = $133,100 / 1.331 = $100,000. Each year the value of the claim grows by 10%: $100,000 becomes $110,000, then $121,000, then $133,100, which confirms the calculation.Case study
Seen in the real world.
Ridgeway Textiles is an illustrative, fictional exporter that was paid on 120-day terms by its biggest customer. The finance director needed cash earlier to buy cotton and asked a bank to discount its invoices.
For an invoice of $300,000, the bank applied an annual discount rate of 9% over 120 days, so the discount was $300,000 x 0.09 x 120 / 360 = $9,000 and Ridgeway received $291,000 immediately.
The cost was equivalent to 3.1% for the 120 days, or about 9.4% a year on the cash actually advanced, which was cheaper than the company's overdraft at 12%. The bank also took on the risk that the customer might pay late. The illustrative lesson is that discounting receivables can be a cost-effective source of working capital if the true annual cost is calculated and compared.
Watch out
Common mistakes.
- Using the wrong rate, so that the present value reflects neither the time value of money nor the risk of the cash flows.
- Forgetting that discounting a receivable has a real cost, which should be compared with other forms of borrowing on an annual basis.
- Discounting nominal cash flows at a real rate, or the reverse, which mixes inflation treatments and distorts the result.
Questions
People also ask.
Why does discounting reduce the value of future money?
Because money received later cannot be invested in the meantime, and because the future carries uncertainty.
What is the difference between discounting and compounding?
Compounding moves money forward in time to find a future value, while discounting moves it back to find a present value.
How does the central bank discount mechanism work?
The central bank lends to commercial banks against eligible assets at a set rate, giving the banking system a source of short-term funding.
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