Questions: Name: Aanya Bejjenki Lab Quiz 5: Year Price index Nominal Expenditure 2019 0.95 3,000 2024 1.15 5,000 Use the information above to answer the following questions. 1. What is the real expenditure in 2019? Real expenditure in 2019 = 3,000 / 0.95 = 3,157.89 2. What is the real expenditure in 2024 ? Real expenditure in 2024 = 5000 / 1.15 = 4,347.83 3. What is the simple growth rate in real expenditure between 2019 to 2024? Simple growth rate = (4347.83-3157.89) / 3157.89 x 100 ≈ 37.63 % 4. What is the compound growth rate in real expenditure between 2019 and 2024 ? compound growth rate = 4347.83 / 3157.89 1 / 5 - 1 = 6.39 % 5. Use the compound growth rate to estimate the real expenditure in 2020. Real expenditure in 2020 -3157.89 x (1+0.0639)^1 = 3,359.68

Name: Aanya Bejjenki Lab Quiz 5: Year Price index Nominal Expenditure 2019 0.95 3,000 2024 1.15 5,000

Use the information above to answer the following questions. 1. What is the real expenditure in 2019?

Real expenditure in 2019 = 3,000 / 0.95 = 3,157.89 2. What is the real expenditure in 2024 ?

Real expenditure in 2024 = 5000 / 1.15 = 4,347.83 3. What is the simple growth rate in real expenditure between 2019 to 2024?

Simple growth rate = (4347.83-3157.89) / 3157.89 x 100 ≈ 37.63 % 4. What is the compound growth rate in real expenditure between 2019 and 2024 ?

compound growth rate = 4347.83 / 3157.89 1 / 5 - 1 = 6.39 % 5. Use the compound growth rate to estimate the real expenditure in 2020.

Real expenditure in 2020 -3157.89 x (1+0.0639)^1 = 3,359.68
Transcript text: Name: Aanya Bejjenki Lab Quiz 5: \begin{tabular}{|c|c|l|} \hline Year & Price index & Nominal Expenditure \\ \hline 2019 & 0.95 & $\$ 3,000$ \\ \hline 2024 & 1.15 & $\$ 5,000$ \\ \hline \end{tabular} Use the information above to answer the following questions. 1. What is the real expenditure in 2019? Real expenditure in $2019=\frac{3,000}{0.95}=\$ 3,157.89$ 2. What is the real expenditure in 2024 ? Real expenditure in $2024=\frac{5000}{1.15}=\$ 4,347.83$ 3. What is the simple growth rate in real expenditure between 2019 to 2024? Simple growth rate $=\frac{(4347.83-3157.89)}{3157.89} \times 100 \neq 37.63 \%$ 4. What is the compound growth rate in real expenditure between 2019 and 2024 ? compound growth rate $=\frac{4347.83}{3157.89} 1 / 5-1=6.39 \%$ 5. Use the compound growth rate to estimate the real expenditure in 2020. Real expenditure in 2020 \[ \begin{array}{c} -3157.89 \times(1+0.0639)^{1} \\ =\$ 3,359 \cdot 68 \end{array} \]
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Solution

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To address the questions based on the provided data, let's go through each one step by step:

  1. What is the real expenditure in 2019?

    The real expenditure is calculated by dividing the nominal expenditure by the price index. For 2019:

    \[ \text{Real expenditure in 2019} = \frac{3,000}{0.95} = \$ 3,157.89 \]

    The calculation is correct.

  2. What is the real expenditure in 2024?

    Similarly, for 2024:

    \[ \text{Real expenditure in 2024} = \frac{5,000}{1.15} = \$ 4,347.83 \]

    This calculation is also correct.

  3. What is the simple growth rate in real expenditure between 2019 to 2024?

    The simple growth rate is calculated using the formula:

    \[ \text{Simple growth rate} = \frac{(\text{Real expenditure in 2024} - \text{Real expenditure in 2019})}{\text{Real expenditure in 2019}} \times 100 \]

    Substituting the values:

    \[ \text{Simple growth rate} = \frac{(4,347.83 - 3,157.89)}{3,157.89} \times 100 = 37.63\% \]

    The calculation is correct, and the simple growth rate is indeed 37.63%.

In summary, the calculations for the real expenditures in 2019 and 2024 are correct, and the simple growth rate between these years is 37.63%.

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