Assume that the export price of a Toyota Corolla from Osaka, Japan is $2,500,000.$ The spot exchange rate is $119\mathrm{.}50/$$$.$ The forecast rate of inflation in the United States is $1\mathrm{.}25\%$ per year and is $0\mathrm{.}0\%$ per year in Japan. Use this data to answer the following questions on exchange rate pass$-$through.$($a$)$ What was the export price for the Corolla at the beginning of the year expressed in U$.$S$.$ dollars?$($b$)$ Assuming purchasing power parity holds, what should be the exchange rate at the end of the year?$($c$)$ Assuming $100\%$ pass$-$through of exchange rate, what will be the dollar price of a Corolla at the end of the year?$($d$)$ Assuming $65\%$ pass$-$through, what will be the dollar price of a Corolla at the end of the year?$($e$)$ Suppose at the end of the year, a Corolla cost $$21,000$ in the U$.$S$.$ What was the pass$-$through rate?