Discount rate: Difference between revisions

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Discount rates are used in economics to allow for the reduced values that are ascribed to deferred occurrences, and  have applications both  to the cost/benefit analysis of public sector projects and to the appraisal of private sector investments. They are used in financial theory in connection with the management of interest rates by central banks.


==Discounting criteria==
==Discounting criteria==
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The social time preference  concept of discounting, arises from the behavioural observation  that people prefer  immediate satisfaction to deferred satisfaction.  Thus the term “discount rate” refers to the  compensation in terms of increased utility that a person requires as inducement to defer  consumption  (usually as a percentage per annum).  The discount rate that a person  experiences assuming no expectation of changing circumstances,  is sometimes termed his  “pure time preference rate”  - to distinguish it from the inducement that he would require if he  expected his consumption  to increase.  In that case,  he would take account of  the fact that, as his  total consumption increased,  he would experience  a reduction in the marginal utility of  any further increase <ref>See the article on [[supply and demand]]</ref>.  The proportionate further compensation  that a person requires to take account of its diminishing marginal utility is referred to as that person’s  “elasticity of the marginal utility of consumption”.  (The derivation of that concept is attributed to a 1928 paper by the economist [[Frank Ramsey]] <ref> Frank Ramsey “A Mathematical Theory of Saving”  Economic Journal Vol. 38 1928</ref>.  There is a note on the “Ramsey equation”, and the estimation of the associated elasticity measure, on the tutorials subpage.).  A community’s discount rate, taking  account of rising consumption, is termed its “social time preference rate”. The social discount rate of a community togeher with its [[liquidity prefernce]] are major determinants of its market [[interest rate]].
The social time preference  concept of discounting, arises from the behavioural observation  that people prefer  immediate satisfaction to deferred satisfaction.  Thus the term “discount rate” refers to the  compensation in terms of increased utility that a person requires as inducement to defer  consumption  (usually as a percentage per annum).  The discount rate that a person  experiences assuming no expectation of changing circumstances,  is sometimes termed his  “pure time preference rate”  - to distinguish it from the inducement that he would require if he  expected his consumption  to increase.  In that case,  he would take account of  the fact that, as his  total consumption increased,  he would experience  a reduction in the marginal utility of  any further increase <ref>See the article on [[supply and demand]]</ref>.  The proportionate further compensation  that a person requires to take account of its diminishing marginal utility is referred to as that person’s  “elasticity of the marginal utility of consumption”.  (The derivation of that concept is attributed to a 1928 paper by the economist [[Frank Ramsey]] <ref> Frank Ramsey “A Mathematical Theory of Saving”  Economic Journal Vol. 38 1928</ref>.  There is a note on the “Ramsey equation”, and the estimation of the associated elasticity measure, on the tutorials subpage.).  A community’s discount rate, taking  account of rising consumption, is termed its “social time preference rate”. The social discount rate of a community togeher with its [[liquidity prefernce]] are major determinants of its market [[interest rate]].


==Discount rates in financial theory==  
==Discount rates in investment appraisal==  


In financial theory, the uses of the term “discount rate” include its application to a variety of interest rates, including the rate charged for loans made to a country’s banks by its central  bank <ref> See the article on [[financial economics]]</ref>, and the rates of return that are used as investment criteria by companies <ref> See the article on [[business economics]]</ref>  and by government agencies <ref> See the article on [[cost/benefit analysis]]</ref>.
==Central bank discount rates==





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Discount rates are used in economics to allow for the reduced values that are ascribed to deferred occurrences, and have applications both to the cost/benefit analysis of public sector projects and to the appraisal of private sector investments. They are used in financial theory in connection with the management of interest rates by central banks.

Discounting criteria

The preferred method of applying discount rates to cost/benefit analysis and to investment appraisal is by the calculation of the "net present value" of future flows of cost and benefits using the formula set out on the tutorials subpage. Allowances for risks are made, either by adjustments to the risk-free discount rate, or by using specific probability estimates to calculate a "net present expected value"

Discount rates in cost/benefit analysis

The social opportunity cost rate

The social opportunity rate is based upon the discount rates used for investment appraisal by private sector companies.

The social time preference rate

The social time preference concept of discounting, arises from the behavioural observation that people prefer immediate satisfaction to deferred satisfaction. Thus the term “discount rate” refers to the compensation in terms of increased utility that a person requires as inducement to defer consumption (usually as a percentage per annum). The discount rate that a person experiences assuming no expectation of changing circumstances, is sometimes termed his “pure time preference rate” - to distinguish it from the inducement that he would require if he expected his consumption to increase. In that case, he would take account of the fact that, as his total consumption increased, he would experience a reduction in the marginal utility of any further increase [1]. The proportionate further compensation that a person requires to take account of its diminishing marginal utility is referred to as that person’s “elasticity of the marginal utility of consumption”. (The derivation of that concept is attributed to a 1928 paper by the economist Frank Ramsey [2]. There is a note on the “Ramsey equation”, and the estimation of the associated elasticity measure, on the tutorials subpage.). A community’s discount rate, taking account of rising consumption, is termed its “social time preference rate”. The social discount rate of a community togeher with its liquidity prefernce are major determinants of its market interest rate.

Discount rates in investment appraisal

Central bank discount rates

References

  1. See the article on supply and demand
  2. Frank Ramsey “A Mathematical Theory of Saving” Economic Journal Vol. 38 1928