Liability payments consist of $$1,200$ at the end of $1$ year, $$2,300$ at the end of $2$ years and $$3,500$ at the end of $3$ years. An attempt is made at interest rate $i_0=0\mathrm{.}09$ to arrange assets so as to match liabilities with an asset cashflow of $C_0$ at time $0$ and an asset cashflow of $C_n$ at time $n.$ For the following values of $n$ determine the corresponding asset cashflows and whether or not the assets immunize the liabilities:

$($a$)n=2$

$($b$)$ n$=4$