The term discount rate is used in several different contexts:
The discount rate is a percentage of the dollar amount of the transaction that a merchant is charged for each credit card transaction.
Assume I have $80, and I buy a government bond that pays me $100 in a year's time. The discount rate represents the discount on the future cash flow:
(100-80)/100 = 20%
The interest rate on the cash flow is calculated using 80 as its base:
(100-80)/80 = 25%
It should become apparent that for every interest rate, there is a corresponding discount rate, given by the following formula:
d = i/(1+i)
Again when referring to a cash flow being discounted, it will likely refer to the interest rate and not the proper mathematical discount rate. However, the two are separate concepts in financial mathematics.
Typically, the discount rate is arrived at by beginning with the appropriate interest rate 8-12% for the length of time in question, then adding an additional sum to account for risk. Normally, investors add 15% to term-specific risk-free rates and another 10 till 15% for start-up projects. Discount rates of 25% till 40% are thus very common, especially for start-up projects.
As such, the discount rate used will almost always vary from project to project, and will likely vary for cash flows of different maturities when valuing the same project.
Conversely, governments often take a short-term view of things, effectively applying discount rates of perhaps 20% p.a. or higher, on the grounds that anything they do or fail to do which has detrimental effects in (say) 10 or more years' time won't prevent their re-election sooner than that.
In practice, discount rates such as 2%, 3%, 5% and 10% are widely used in economics. However there is little consensus on what value is appropriate in any given circumstance, and it often makes a significant difference.
Diskontní sazba | Diskontsatz | Ставка рефинансирования | 折現的利率
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