Consider three bonds with $5\mathrm{.}70\%$ coupon rates, all making annual coupon payments and all selling of face value. the short$-$term bond has a maturity of $4$ years, the intermediate$-$term bond has a maturity of $8$ years, and the long$-$term bond has a maturity of $30$ years. What will be the price of the $4-$year bond if its yeild increases to $6\mathrm{.}70\%$