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Exchange Rates vs. Interest Rates Sources of Potential Profit. Prepared by: Branko Ð api ć , Christian Helland, Jeong-Jun Lee, Wook-Jong Lee, Lizabeth Monta ñ o, Walter Zevallos. Exchange rate: Price of one currency in terms of another, conventional way- home currency per foreign
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Exchange Rates vs. Interest RatesSources of Potential Profit Prepared by: Branko Ðapić, Christian Helland, Jeong-Jun Lee, Wook-Jong Lee, Lizabeth Montaño, Walter Zevallos
Exchange rate: • Price of one currency in terms of another, conventional way- home currency per foreign • A depreciation (appreciation) of a country’s currency makes its goods cheaper (more expensive) for foreigners, and makes foreign goods more expensive (cheaper) for domestic residents. • Key players in the market: commercial banks, corporations, nonbank financial institutions (insurance companies, pension funds), central banks.
Assumptions: • Currently hold dollar denominated deposits • Risk and liquidity is the same between currencies Our Goal: • Find the relationship between the interest rates and exchange rate • Predict the near future movement so we can maximize our wealth
How is exchange rate determined? • The Asset Approach – based upon “interest rate parity” • Monetary Approach – based upon “purchasing power parity” The key element > Expected Rate of Return Investors care about • Real rate of return • Risk • Liquidity
The basic equilibrium condition in the foreign exchange market is interest parity. Uncovered interest parity R$=R¥+(Ee$/¥-E$/¥)/E$/¥-Risk Premium Covered interest rate parity (risk-free) R$=R¥+(F$/¥-E$/¥)/E$/¥
Historical Interest Rates & Historical Exchange Rates Dollar Interest spread Yen
Explaining the Spread (Dollar vs. Yen) Interest spread Interest parity Change in Exchange rate
Intuition of the Model Interest parity Positive Deposit in $US 0 Deposit in Foreign Currency Negative Time Time
Modeling the Yen: ADF Test Statistic -4.022379 1% Critical Value* -3.9964 5% Critical Value -3.4283 10% Critical Value -3.1372 *MacKinnon critical values for rejection of hypothesis of a unit root.
Actual Upper Band (95% confidence) FAVORABLE $US REGION FAVORABLE YEN REGION Actual Lower Band
Backup slides (Exchange rate only) Modeling Yen with an ARMA(8,0)