$1.$ Assume the current spot rate between the UK and the U$.$S$.$ is $0\mathrm{.}754$ per $$1,$ the expected inflation rate in the U$.$S$.$ is $1\mathrm{.}79$ percent, and the expected inflation rate in the UK is $4\mathrm{.}73$ percent If relative purchasing power parity exists, what will the exchange rate be next year $?$

$2.$ In New York, you can exchange $$1$ for $0\mathrm{.}8026$ or $0\mathrm{.}6149.$ Suppose that, in Berlin, $1$ costs $1\mathrm{.}1814.$ How much profit can you earn on $$40,116$ using triangle arbitrage? Enter your answer rounded off to two decimal points.

$3.$ Assume the current spot rate between the UK and the U$.$S$.$ is $0\mathrm{.}803$ per $$1,$ the expected inflation rate in the U$.$S$.$ is $2\mathrm{.}2$ percent, and the expected inflation rate in the UK is $4\mathrm{.}93$ percent. If relative purchasing power parity exists, what will the exchange rate be $4$ years from now? Enter your answer rounded off to FOUR decimal points.