A$1$ A trader, who is considering a 'carry trade' transaction between Sterling $($GBP$)$ and Polish Zloty $($PLN$),$ faces the following data:

Funds available to borrow: $2$ million GBP

Spot exchange rates: $0\mathrm{.}6603$ GBP per USD and $3\mathrm{.}1166$ PLN per USD

GBP $3-$month interest rate: $0\mathrm{.}49\%$ per annum

PLN $3-$month interest rate: $3\mathrm{.}55\%$ per annum

Current UK inflation rate: $2\mathrm{.}7\%$ per annum

Current Polish inflation rate: $1\mathrm{.}7\%$ per annum

Required:

$($a$)$ Calculate the current PLN$/$GBP cross rate;

$($b$)$ Calculate the profit that would be made if the exchange rate remains at its current level in three months' time;

$($c$)$ How would the profit figure change if the exchange rate varies in line with relative purchasing power parity $($RPPP$)$ as predicted by current inflation?