the international market for silicon follows relative PPP$.$ The price in the US today is $$11$ and the price in China today is $84.$ The prices in one year are expected to be $$15$ and $89$ respectively. If the exchange rate between China and the US is $4\mathrm{.}2$ today, then what is the exchange rate expected to be in one year? $($Consider the USA to be the domestic country. Round to the nearest hundredth.$)$