An investor, who is liable to income tax at $20\%,$ but is not liable to capital gains tax, wishes to earn a net effective rate of return of $5\%$ per annum. A $10010-$year bond bearing coupons payable semiannually at a rate $6\mathrm{.}25\%$ per annum. The bond will be redeemed at par. Calculate the price that the investor should pay for the bond.

$($Ans: $100\mathrm{.}477)$