At a force of interest ${}_t=\frac{0\mathrm{.}5}{5+0\mathrm{.}5t},0t6$ an investment of $1,000$ at time $t=2$ will accumulate to $x$ at time $t=6.$ At an

annual nominal rate of discount of $8\%$ convertible quarterly, an investment of $Y$ will accumulate to $x$ at the end of two years.

Calculate $Y.$

$1,124$

$1,129$

$1,134$

$1,138$

$1,143$