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Weike · 2024年03月14日

可以解释一下这道题么

  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

没太明白答案解析是什么意思

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1 个答案

笛子_品职助教 · 2024年03月15日

嗨，爱思考的PZer你好：


可以解释一下这道题么

没太明白答案解析是什么意思

Hello，亲爱的同学~

可以的。

同学这里先理解一个知识点，财政乘数。


财政乘数的概念：如果税收乘数是2.8571，则意味着，减税100亿元，能提高100亿 * 2.8571 = 285.71亿元的GDP。

财政乘数的计算公式：这个计算公式是原版书里的公式，属于需要同学记忆的结论。公式为：

公式里：

T是税率。

c是边际消费倾向。c的公式也是原版书给出的，属于需要同学记忆的结论。公式为：

c = marginal propensity to consume = consumption/disposable income


在掌握以上知识点的基础上，我们再看本题。


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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