British government $4\mathrm{.}7\%$ perpetuities once paid $4\mathrm{.}7$ interest each year forever. Another bond, $3\mathrm{.}2\%$ perpetuities, paid $3\mathrm{.}20$ a year

forever.

a$.$ What was the value of $4\mathrm{.}7\%$ perpetuities if the long$-$term interest rate was $6\mathrm{.}7\%?$

Note: Round your answer to $2$ decimal places.

Perpetuity value

b$.$ What was the value of $3\mathrm{.}2\%$ perpetuities?

Note: Round your answer to $2$ decimal places.

Perpetuity value