Following information about an existing bond is available:

Principal Time to maturity $($in years$)$ Annual coupon $($$$)$ Price $($$$)$

$1001096$

Additionally, assume that the zero rate for two years is $4\mathrm{.}85\%$ with continuous compounding.

a$)$ Calculate the zero rate $($with continuous compounding$)$ for one year.

b$)$ What is the equivalent one$-$year zero rate with monthly compounding?

c$)$ What is the forward rate $($with continuous compounding$)$ for the period between one and two years?