Live Forever Insurance Company is selling a perpetual annuity contract that pays $$2,900$ monthly. The contract currently sells for $$327,000.$

a$.$ What is the monthly return on this investment vehicle?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$.$ What is the APR?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

c$.$ What is the effective annual return?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

$\backslash$table$[[$a$.$ Monthly return,$\%$