## What is meant by the complex multiplier?

The complex multiplier is the multiplier principle in Keynesian economics (formulated by John Maynard Keynes). The simplistic multiplier that is the reciprocal of the marginal propensity to save is a special case used for illustrative purposes only.

### How do you find the complex multiplier?

In the above formula for multiplication, if v is zero, then you get a formula for multiplying a complex number x + yi and a real number u together: (x + yi) u = xu + yu i. In other words, you just multiply both parts of the complex number by the real number. For example, 2 times 3 + i is just 6 + 2i.

**What does the simple multiplier mean?**

The simple multiplier is used to calculate how much an initial change in aggregate demand impacts on national income once it has been cycled through the circular flow of income. It is calculated by the formula k = 1/(1-MPC) or k=1/MPS.

**What are the two types of multiplier?**

Top 3 Types of Multiplier in Economics

- (a) Employment Multiplier:
- (b) Price Multiplier:
- (c) Consumption Multiplier:

## What is the product of two complex numbers?

Multiplication of two complex numbers is also a complex number. In other words, the product of two complex numbers can be expressed in the standard form A + iB where A and B are real. z1z2 = (pr – qs) + i(ps + qr). = (pr – qs) + i(ps + qr).

### Can two complex numbers multiply to zero?

No, it is not possible. For complex numbers z1,z2∈C we have that z1⋅z2=0⟹z1=0 or z2=0.

**Who is the father of complex number?**

The idea of a complex number as a point in the complex plane (above) was first described by Danish–Norwegian mathematician Caspar Wessel in 1799, although it had been anticipated as early as 1685 in Wallis’s A Treatise of Algebra.

**Which is the formula for the complex multiplier?**

The complex multiplier can be measured by the following formula: k = 1 / [ M P S + M R T + M P M ] = 1 / M P W {\\displaystyle k=1/ [MPS+MRT+MPM]=1/MPW\\,\\!} where MPS= Marginal propensity to save, MRT= Marginal rate of taxation, MPM= marginal propensity to import.

## Which is a special case of the simplistic multiplier?

The simplistic multiplier that is the reciprocal of the marginal propensity to save is a special case used for illustrative purposes only. The multiplier applies to any change in autonomous expenditure, in other words, an externally induced change in consumption, investment, government expenditure or net exports.

### What’s the difference between a deposit multiplier and a money multiplyier?

The terms “deposit multiplier” and “money multiplier” are often confused and used interchangeably because they are very closely related concepts and the distinction between them can be difficult to grasp.

**Which is more complex expenditures or tax multipliers?**

More complex expenditures multipliers include other induced components. Two related multipliers are the tax multiplier, which measures the change in aggregate production caused by changes in taxes, and the balanced-budget multiplier which measures the change in aggregate production from equal changes in both taxes and government purchases.