V2EX discount factor

Discount Factor

Definition / 释义

discount factor(贴现因子;折现因子):在金融与经济学中,用来把未来的价值或收益折算为今天的现值的系数。常见形式为 \( \frac{1}{(1+r)^t} \),或在动态经济模型中用 \( \beta \) 表示对未来效用/收益的重视程度。(在不同领域也可能指更一般的“折现系数”。)

Examples / 例句

The discount factor converts next year’s cash flow into today’s value.
贴现因子把明年的现金流换算成今天的价值。

In the model, a lower discount factor means the agent cares less about future utility, which changes the optimal savings decision.
在模型中,较低的贴现因子表示主体更不重视未来效用,从而改变最优储蓄决策。

Pronunciation / 发音

/dskant fk.t/

Etymology / 词源

discount 来自中古法语 desconter(“减去、扣除、结算”),逐渐引申为“打折、贴现”;factor 源自拉丁语 factor(“做事的人、执行者”),在数学与科学语境中发展为“因子/系数”。合在一起,discount factor 字面义即“用于贴现的系数/因子”,强调其作为“把未来折算到现在”的乘数作用。

Relaed Words / 相关词

Literary Works / 文学与著作中的用例

  • John C. Hull, Options, Futures, and Other Derivatives(衍生品定价中使用贴现因子对现金流折现)
  • Milton Friedman, A Theory of the Consumption Function(消费理论与跨期选择讨论中涉及折现思想与参数)
  • Lars Ljungqvist & Thomas J. Sargent, Recursive Macroeconomic Theory(宏观动态模型中常以 \( \beta \) 表示贴现因子)
  • Nancy L. Stokey, Robert E. Lucas Jr., Edward C. Prescott, Recursive Methods in Economic Dynamics(动态规划与跨期效用最大化中系统使用贴现因子)
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