British government $3\mathrm{.}7\%$ perpetuities once paid $3\mathrm{.}7$ interest each year forever. Another bond, $2\mathrm{.}2\%$ perpetuities, paid $2\mathrm{.}20$ a year forever.What was the value of $3\mathrm{.}7\%$ perpetuities if the long$-$term interest rate was $5\mathrm{.}7\%?$