Use the term structure of riskfree interest rates below $($continuous compounding$)$ Year Rate

Year Rate

$12,5\%$

$23,0\%$

$33,4\%$

$43,7\%$

$54,0\%$

a$)$ What is the implied forward rate between years $2$ and $3($continuous compounding$)?$ Use two decimals.

b$)$ Convert the continuous forward rate in b$)$ into the equivalent forward rate with annual compounding. Use two decimals.

c$)$ What is the value of a forward rate agreement in which you receive a fixed rate of $5\%$ and pay the $1-$year rate $($annual compounding$)?$ The nominal amount is $$1000000.$