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Covered interest arbitrage problem: Example: suppose yen-dominated interest rate is 2% $-dominated interest rate is 6% current ($/yen) exchange rate is 0.009 The theoretical 1-year

Covered interest arbitrage problem:

Example: suppose

yen-dominated interest rate is 2%

$-dominated interest rate is 6%

current ($/yen) exchange rate is 0.009

The theoretical 1-year forward exchange rate is 0.009e^(6%-2%) = 0.009367

However, suppose the observed 1 - year forward exchange is 0.0093, then, the professor claims that in this case, the interest rate of dollars might be too high(therefore we will lend out $) or the interest rate of yen might be too low(therefore we will borrow yen) to do the arbitrage. But shouldn't be the interest rate of dollars to be too low (e.g. 5.5% instead of 6%) or the interest rate of yen be too high (2.3% instead of 2%) and that's why the observed exchange rate to be lowered than 0.009367 e.g. 0.009e^(5.5%-2.3%) < 0.009367? Please help me to undertstand the mechanism from the formula's perspective, thank you very much.

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