$[$SOA $16$; SOA$-$IT:$020]$ David can receive one of the following two payment streams:

i$.100$ at time $0,200$ at time $n$ years, and $300$ at time $2n$ years

ii$.600$ at time $10$ years

At an amnual effective interest rate of $i,$ the present values of the two streams are equal.

Given $v^n=0\mathrm{.}76,$ calculate $i.$