LIBOR zero rates are flat at $5 \%$ in the United States and flat at $10 \%$ in Australia (both annually compounded). In a 4-year diff swap Australian LIBOR is received and $9 \%$is paid with both being applied to a USD principal of $$\$ 10$$ million. Payments are exchanged annually. The volatility of all 1-year forward rates in Australia is estimated to be $25 \%$, the volatility of the forward USD/AUD exchange rate (AUD per USD) is $15 \%$ for all maturities, and the correlation between the two is 0.3 . What is the value of the swap? Assume a USD discount rate of $4.7 \%$ continuously compounded.