Money demand is an economy in which no interest is paid on money is

Md/P=500+0.2Y-1000i

a. Suppose that P=100, Y=1000, and i=0.10. Find real money demand, nominal money demand, and velocity.
b. The price level doubles from P=100 to P=200. Find real money demand, nominal money demand, and velocity.
c. Starting from the values of the variables given in part (a) and assuming that the money demand function as written holds, determine how velocity is affected by an increase in real income, by an increase in the nominal interest rate, and by an increase in the price level.

Respuesta :

Answer:

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Explanation:

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Given: The money demand is:p = 500 + 0.2Y − 1,000ip=500+0.2Y−1,000i

Now, the P is = 100

Y = 1,000

I = 0.10

Part-A)

The real money demand, nominal money demand, and velocity:

Real Money Demand = \frac{MD}{P}\\ = 500 + 0.2Y − 1,000i\\ = 500 + 0.2 (1,000) − 1,000 (0.10)\\ = 500 + 200 − 100\\ = 700 − 100\\ = 600RealMoneyDemand=

P

MD

=500+0.2Y−1,000i

=500+0.2(1,000)−1,000(0.10)

=500+200−100

=700−100

=600

Nominal\space Money\space Demand = Real\space money \space demand × Price\\ = 600 × 100\\= 60,000Nominal Money Demand=Real money demand×Price

=600×100

=60,000

Velocity:

MV=PY

60,000×V=100×1,000

60,000×V=100,000

V=

60,000

100,000

V=1.66

Part-B)

The price level doubles from P = 100 to P = 200, then the real money demand, nominal money demand, and velocity:

Real Money Demand = \frac{MD}{P}\\ = 500 + 0.2Y − 1,000i\\ = 500 + 0.2 (1,000) − 1,000 (0.10)\\ = 500 + 200 − 100\\ = 700 − 100\\ = 600RealMoneyDemand=

P

MD

=500+0.2Y−1,000i

=500+0.2(1,000)−1,000(0.10)

=500+200−100

=700−100

=600

Nominal\space Money\space Demand = Real\space money \space demand × Price\\ = 600 × 200\\= 120,000Nominal Money Demand=Real money demand×Price

=600×200

=120,000

Velocity:\\ MV = PY\\120,000 × V = 200 × 1,000\\120,000 × V = 200,000\\V = \frac{200,000}{120,000}\\V = 1.66Velocity:

MV=PY

120,000×V=200×1,000

120,000×V=200,000

V=

120,000

200,000

V=1.66

How do you find nominal velocity?

It is calculated by dividing nominal spending by the money supply, which is the total stock of money in the economy: velocity of money = nominal spending money supply = nominal GDP money supply.

What is the nominal velocity of propagation?

NVP Nominal velocity of propagation. The speed that which a signal propagates through a cable is expressed as a decimal fraction of the speed of light in a vacuum. Typical copper cables have an NVP value of between 0.6c and 0.9c.

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