Refer to the table below and calculate both the real and nominal rates of return on the TIPS bond in the second and third years. $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

Principal and Interest Payments for a Treasury Inflation Protected Security

Time Inflation in Year Just Ended Par Value Coupon Payment $+$ Principal Repayment $=$ Total Payment

$0$ $$1,000\mathrm{.}00$

$13\%1,030\mathrm{.}00$ $ $72\mathrm{.}100$ $ $72\mathrm{.}10$

$211,040\mathrm{.}3072\mathrm{.}82072\mathrm{.}82$

$311,050\mathrm{.}7073\mathrm{.}55$ $ $1,050\mathrm{.}701,124\mathrm{.}25$