Question $3$

Using an annual effective interest rate $j>0,$ you are given:

i$.$ The present value of $2$ at the end of each year for $2n$ years, pus an additional $1$ at

the end of each of the first $n$ years, is $200+5$

ii$.$ The present value of an $n-$year deferred annuity paying $2$ per year for $n$ years is

$100-1$

Calculate $j$

alpha $=10\%.$ beta $=4\mathrm{.}8\%.$ y $=87$