There are 3 countries A, B and C, whose currencies are $A, $B and $C respectively. Each country has debt securities, denominated in their respective currency. The interest rates of these securities are: i_A = 4% per year, i_B = 6% per year, and i_C = 7% per year. There is no default risk associated with any of the securities.

It is expected that the exchange rate between countries A and B will, in 1 year, be 4.00 A$/B$, and the exchange rate between countries B and C will be 0.50 B$/C$.

Suppose the Discovered Interest Parity is valid (DO NOT USE THE APPROXIMATE FORM). Today, what will be the exchange rate between countries A and C?

Hint: The correct answer is: 2.06 A$/C$, demonstrate the calculations used.