I have been given a question that asks to calculate the nominal yearly interest rate from the force of interest of the following piecewise function:
I initially approached this question by doing the following.
From this point onwards i solve for the force of interest by breaking up the piecewise function into three seperate definite integrals and adding them together and then proceed to to solve for i in the derived equation.
When doing the relevant calculations from using this approach i have been getting an incorrect answer. Is this the correct approach or have i made a mistake in my calculations