1. **Stating the problem:** We are given Consumer Price Index (CPI) data from 2017 to 2022 and need to compute the Inflation Rate and Purchasing Power Parity (PPP) for each year.
2. **Formulas and rules:**
- Inflation Rate for year $t$ is calculated as:
$$\text{Inflation Rate}_t = \frac{\text{CPI}_t - \text{CPI}_{t-1}}{\text{CPI}_{t-1}} \times 100\%$$
- PPP is inversely related to CPI, assuming a base year (2017) with PPP = 1. We calculate PPP for year $t$ as:
$$\text{PPP}_t = \frac{\text{CPI}_{2017}}{\text{CPI}_t}$$
3. **Calculations:**
- For 2017, Inflation Rate and PPP are not applicable or set as base (Inflation Rate = 0%, PPP = 1).
- Calculate Inflation Rate and PPP for each subsequent year:
**2018:**
$$\text{Inflation Rate}_{2018} = \frac{117.95 - 115.20}{115.20} \times 100 = \frac{2.75}{115.20} \times 100 \approx 2.39\%$$
$$\text{PPP}_{2018} = \frac{115.20}{117.95} \approx 0.977$$
**2019:**
$$\text{Inflation Rate}_{2019} = \frac{123.30 - 117.95}{117.95} \times 100 = \frac{5.35}{117.95} \times 100 \approx 4.54\%$$
$$\text{PPP}_{2019} = \frac{115.20}{123.30} \approx 0.934$$
**2020:**
$$\text{Inflation Rate}_{2020} = \frac{126.07 - 123.30}{123.30} \times 100 = \frac{2.77}{123.30} \times 100 \approx 2.25\%$$
$$\text{PPP}_{2020} = \frac{115.20}{126.07} \approx 0.914$$
**2021:**
$$\text{Inflation Rate}_{2021} = \frac{130.01 - 126.07}{126.07} \times 100 = \frac{3.94}{126.07} \times 100 \approx 3.13\%$$
$$\text{PPP}_{2021} = \frac{115.20}{130.01} \approx 0.886$$
**2022:**
$$\text{Inflation Rate}_{2022} = \frac{131.60 - 130.01}{130.01} \times 100 = \frac{1.59}{130.01} \times 100 \approx 1.22\%$$
$$\text{PPP}_{2022} = \frac{115.20}{131.60} \approx 0.875$$
4. **Summary table:**
| Year | CPI | Inflation Rate (%) | PPP |
|------|-------|--------------------|-------|
| 2017 | 115.20| 0 | 1 |
| 2018 | 117.95| 2.39 | 0.977 |
| 2019 | 123.30| 4.54 | 0.934 |
| 2020 | 126.07| 2.25 | 0.914 |
| 2021 | 130.01| 3.13 | 0.886 |
| 2022 | 131.60| 1.22 | 0.875 |
This completes the computation of Inflation Rate and PPP from the given CPI data.
Inflation Ppp C89Ea2
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