BLT Ltd last paid a dividend of $$0\mathrm{.}20$ three years ago. Today the company announced they will resume paying dividends. The planned dividends are $$0\mathrm{.}50$ in one years time, $$0\mathrm{.}60$ in two years time, and thereafter dividends will increase by a constant rate of $3\%$ p$.$a$.$ indefinitely. If the required return for BLT is $12\%,$ what is a fair price for one share today?