Final answer:
In January 2003, the exchange rate of the Argentine peso should have been Ps3.68 if purchasing power parity held. The Argentine peso was undervalued by approximately 14.13% on an annualized basis. The causes of undervaluation can be attributed to factors like inflation, economic conditions, investor confidence, and market forces.
Step-by-step explanation:
In January 2002, the Argentine peso was floated which means its value was determined by supply and demand rather than being fixed. In January 2003, the exchange rate was Ps3.16/s, but if purchasing power parity (PPP) held, the exchange rate should have been different. PPP suggests that the exchange rate should reflect the relative prices and inflation rates between two countries. Since Argentina's inflation rate was 19% and the United States' inflation rate was 2.2%, we can calculate the expected exchange rate.
To calculate the expected exchange rate, we can use the formula:
Expected exchange rate = (1 + Argentina's inflation rate) / (1 + US inflation rate) * Previous exchange rate
Expected exchange rate = (1 + 0.19) / (1 + 0.022) * 3.16
Expected exchange rate = 3.16 * 1.19 / 1.022
Expected exchange rate = 3.68
Therefore, if PPP held, the exchange rate in January 2003 should have been Ps3.68. This means that the Argentine peso was undervalued.
To calculate the percentage by which the Argentine peso was undervalued on an annualized basis, we can use the formula:
Percentage undervalued = (Expected exchange rate - Actual exchange rate) / Expected exchange rate * 100%
Percentage undervalued = (3.68 - 3.16) / 3.68 * 100%
Percentage undervalued = 0.52 / 3.68 * 100%
Percentage undervalued ≈ 14.13%
Therefore, the Argentine peso was undervalued by approximately 14.13% on an annualized basis.
The probable causes of undervaluation could be due to various factors such as the impact of inflation on the currency's buying power, economic conditions, and investor confidence. Additionally, market forces such as supply and demand can also influence the exchange rate.