$(*)($FFOM $7\mathrm{.}26)$ For all maturities, the U$.$S$.$ dollar $($USD$)$ interest rate is $7\%$ per

annum and the Australian dollar $($AUD$)$ rate is $9\%$ per annum. The current value

of the AUD is $0\mathrm{.}62$ USD. In a swap agreement, a financial institution pays $8\%$

per annum in AUD and receives $4\%$ per annum in USD. The principals in the

two currencies are $$12$ million USD and $20$ million AUD. Payments are exchanged

every year, with one exchange having just taken place. The swap will last two

more years. What is the value of the swap to the financial institution? Assume all

interest rates are continuously compounded.