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$

$13\%1,030\mathrm{.}00$ $ $51\mathrm{.}500$ $ $51\mathrm{.}50$

$211,040\mathrm{.}3052\mathrm{.}02052\mathrm{.}02$

$311,050\mathrm{.}7052\mathrm{.}54$ $ $1,050\mathrm{.}701,103\mathrm{.}24$