A $10-$year corporate bond has coupon rate equal to $5\mathrm{.}5\%.$ This bond has a par value equal to $100,$ pays annual coupons on November $17,$ and matures on November $17,2033.$ Because of the credit risk associated with the payments of this bond, the market is discounting its cash flows using yields that are $3$ percentage points higher than the yields required from credit$-$risk$-$free government bonds. As a result, this corporate bond has a yield to maturity equal to $6\mathrm{.}711\%.$

Using the first$-$order linear approximation, what would be the percentage change in the price of this $10-$year corporate bond if its yield to maturity decreases by $0\mathrm{.}5$ percentage points?