Investment choices You can invest \(\$ 1,000\) in three different ways.

(i) An investment that accumulates \(10 \%\) interest per year (i.e., you get \(\$ 1,100\) at the end of the year)

(ii) An investment, whose proceeds with a probability of \(2 / 3\) will be a payment of \(\$ 1,000\) and with a probability of \(1 / 3\) will be a payment of \(\$ 1,200\) at the end of the year.

(iii) An investment, which will pay you \(\$ 10,000\) with probability \(5 \%\) and \(\$ 0\) with probability \(95 \%\) at the end of the year.

Which option would you prefer to invest your money and why?