GM has issued bonds that currently have a yield$-$to$-$maturity of $4\%.$ These bonds have a modified duration of $6\mathrm{.}15$ and a convexity measure of $46.$ Approximate the percentage change in the price of these bonds if the yield$-$to$-$maturity increases to $4\mathrm{.}75\%.$ Please write your answer using at least $3$ decimal places.

Using the information from the previous problem and assuming that the current price of the GM bond is $$1,085,$ calculate the new price if the yield$-$to$-$maturity increases to $4\mathrm{.}75\%.$