Suppose the Japanese yen exchange rate is $77=$$$1,$ and the British pound exchange rate is $1=$$$1\mathrm{.}56.$

a$.$ What is the cross$-$rate in terms of yen per pound? $($Round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ Suppose the cross$-$rate is $126=1.$ What is the arbitrage profit per dollar used? $($Do not round intermediate calculations and round your answer to $4$ decimal places, e$.$g$.,32\mathrm{.}1616.)$

$\backslash$table$[[$a$.$ Cross$-$rate $\frac{}{},],[$b$.$ Arbitrage profit,$]]$