Read the scenario below and answer the questions that follow.

ABC Limited has two different bonds currently outstanding. Bond $x$ has a face value of R$100000$ and matures in $10$ years' time. The coupon rate on the bond is $10\%.$ Coupons are paid semi$-$annually in arrears.

Bond $Y$ also has a face value of R$100000$ and a maturity of $10$ years; it makes no coupon payments over its $10-$year life. The yield to maturity $($YTM$)$ on both bonds is $12\%$ per year, compounded semi$-$annually.

Required:

$1\mathrm{.}1$ What is the maximum amount that a rational investor would pay for each of these bonds? Round off your answers to two decimal places.