Derivation Inc. has a bond with the following characteristics:

Par: $$1,000$

Time to maturity: $50$ years

Coupon Rate: $5\%,$ semi$-$annual payments

Original YTM: $3\%$

New YTM: $4\%$

Calculate the percentage change in the price of the bond. $($Enter a negative value; enter percentages as decimals and round to $4$ decimals$)$