To answer the questions about the economy of Navarro, let's break down the information and calculations step by step.
Price Level:
The price level can be calculated using the formula:
\[ \text{Price Level} = \frac{\text{Nominal GDP}}{\text{Real GDP}} \]
Given:
- Nominal GDP = \$10 million imperial credits
- Real GDP = \$5 million imperial credits
\[ \text{Price Level} = \frac{10 \text{ million imperial credits}}{5 \text{ million imperial credits}} = 2 \]
Velocity of Money:
The velocity of money can be calculated using the formula:
\[ \text{Velocity of Money} = \frac{\text{Nominal GDP}}{\text{Money Supply}} \]
Given:
- Nominal GDP = \$10 million imperial credits
- Money Supply = \$1 million imperial credits
\[ \text{Velocity of Money} = \frac{10 \text{ million imperial credits}}{1 \text{ million imperial credits}} = 10 \]
Real GDP Growth:
Real GDP is expected to grow by 5%. Therefore, the new Real GDP will be:
\[ \text{New Real GDP} = \text{Current Real GDP} \times (1 + \text{Growth Rate}) \]
\[ \text{New Real GDP} = 5 \text{ million imperial credits} \times (1 + 0.05) = 5 \text{ million imperial credits} \times 1.05 = 5.25 \text{ million imperial credits} \]
Nominal GDP:
Since the velocity of money is constant and the money supply remains the same, we can use the formula for the velocity of money to find the new Nominal GDP:
\[ \text{Velocity of Money} = \frac{\text{Nominal GDP}}{\text{Money Supply}} \]
Given that the velocity of money is 10 and the money supply is \$1 million imperial credits:
\[ 10 = \frac{\text{Nominal GDP}}{1 \text{ million imperial credits}} \]
\[ \text{Nominal GDP} = 10 \times 1 \text{ million imperial credits} = 10 \text{ million imperial credits} \]
However, since the real GDP has increased by 5%, the new Nominal GDP will be:
\[ \text{New Nominal GDP} = \text{Velocity of Money} \times \text{New Real GDP} \]
\[ \text{New Nominal GDP} = 10 \times 5.25 \text{ million imperial credits} = 52.5 \text{ million imperial credits} \]
Price Level:
The new price level can be calculated using the formula:
\[ \text{Price Level} = \frac{\text{Nominal GDP}}{\text{Real GDP}} \]
\[ \text{New Price Level} = \frac{52.5 \text{ million imperial credits}}{5.25 \text{ million imperial credits}} = 10 \]
- Price Level (current year): 2
- Velocity of Money (current year): 10
- Next Year:
- Nominal GDP: \$52.5 million imperial credits
- Price Level: 10