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Tututu · 2024年10月20日

这里为什么不是1/(1-0.65(1-28%))

  1. CFA I
  2. Economics Analysis

NO.PZ2023071902000016

问题如下：

QuestionIn a theoretical economic model, consumer spending is 65% of pre-tax revenue, and the average taxation rate is 28% of the overall revenue. If forecasted government expenditures are projected to rise by $1.5 billion, by what amount, in billions, will the total revenue and expenditure likely increase?

选项：

A.$2.8. B.$4.3. C.$1.1.

解释：

Solution

  1. Correct.

    The fiscal multiplier is 1 1−c( 1−T ) where

    c = marginal propensity to consume = consumption/disposable income

    T = the tax rate

    Assuming pre-tax income of $1

    Disposable income: $1× (1 – 0.28) = $0.72

    Marginal propensity to consume: $0.65/$0.72 = 0.9028

    The fiscal multiplier: 1/[1 – 0.9028(1 – 0.28)] = 2.8571

    With an increase in government expenditures of $1.5 billion, total revenues and expenditures will ascend by $1.5billion × 2.8571 ≈ $4.3 billion

Fiscal Policy

• describe tools of fiscal policy, including their advantages and disadvantages

依据乘数公式，假设税前收入为1美元

可支配收入:1美元×(1 - 0.28) = 0.72美元

边际消费倾向:0.65/ 0.72 = 0.9028

财政乘数:1/[1 - 0.9028(1 - 0.28)]= 2.8571

财政支出增加15亿美元，收支总额将增加15亿美元× 28.571≈43亿美元

这里为什么不是1/(1-0.65(1-28%))

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1 个答案

笛子_品职助教 · 2024年10月21日

嗨，从没放弃的小努力你好：


这里为什么不是1/(1-0.65(1-28%))

Hello，亲爱的同学~

这里需理解财政乘数公式，就是解析里的：

公式里的C表示，边际消费倾向：C = consumption/disposable income，即消费/税后收入。


结合本题：

而本题的65%的含义是：consumer spending is 65% of pre-tax revenue。消费占税前收入的65%。

因此65%并非公式里的C，不能直接代入公式。


正确解法如下：


第一步：先计算公式里的c

题目已知消费占比是65%的税前收入。

那么需要计算，消费占税收收入的比例。

已知税率是0.28。

则我们可以推断出：1元的税前收入，消费0.65元，税后收入1-0.28 = 0.72元。

因此，消费/税后收入 = $0.65/$0.72 = 0.9028


第二步：把c = 0.9028和T =0.28的的数值代入公式：

 = 1/[1 – 0.9028(1 – 0.28)] = 2.8571



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