Gold spot price $($USD per ounce$)=2,157\mathrm{.}41$

Gold forward price for delivery in $6$

months $($USD per ounce$)$

$=2,202\mathrm{.}64$

Per annum $6-$month US interest

rate continuously compounded

$($T$=0\mathrm{.}5)=5\mathrm{.}65\%$

Exchange rate $0\mathrm{.}6555$ USD

per $1$ AUD

Question:

Calculate the per annum $6-$month gold lease rate with continuous compounding

that is implied from the $6-$month forward contract on gold with a forward price

of USD $2,202\mathrm{.}64.$