Suppose that the current rates on $90-$ and $180-$day GICs are $3\mathrm{.}25\%$ and $3\mathrm{.}50\%,$ respectively. An investor is weighing the alternatives of

purchasing a $180-$day GIC versus purchasing a $90-$day GIC and then reinvesting its maturity value in a second $90-$day GIC.

What would the interest rate on $90-$day GICs have to be $90$ days from now for the investor to end up in the same financial position

with either alternative? $($Round your final answer to two decimal places.$)$

Interest rate

$\%$