Suppose that in $2012$ the expected dividends of the stocks in a broad market index equaled $$240$ million when the discount rate was $8\%$ and the expected growth rate of the dividends equaled $6\%.$ Using the constant$-$growth formula for valuation, if interest rates increase to $9\%,$ the value of the market will change by $\_\_\_\_\_\_\_\_.$

$-25\%$

$-20\%$

$-33\%$

$-10\%$