Yani has $$12,000$ for investment purposes. His bank has offered the following three choices:

A special savings certificate that will pay $$100$ each month for $5$ years and a lump sum payment at the end of $5$ years of $$13,000$

Buy a share of a racehorse for $$12,000$ that will be worth $$20,000$ in $5$ years

Put the money in a savings account that will have an interest rate of $12\%$ per year compounded monthly

What is the internal rate of return used to make your decision?

Certificate: $\%$

Racehorse: $\%$

Savings Account: $\%$

Use an internal rate of return analysis to make a recommendati$$n to Yani. $\%$

Carry all interim calculations to $5$ decimal places and then round your final answer to $1$ decimal place. The tolerance is $+-0\mathrm{.}2.$