The international market for silicon follows relative PPP$.$ The price in the US today is $$13$ and the price in China today is $83.$ The prices in one year are expected to be $$15$ and $93$ respectively. If the exchange rate between China and the US is expected to be $6\mathrm{.}8$ in one year, then what is the exchange rate today? $($Consider the USA to be the domestic country. Round to the nearest hundredth.$)$