Cru Shoes issued a $10$ year bond. Coupons are paid semi$-$annually, the bonds have a $$1,000$ par value, and the coupon rate is $5\mathrm{.}25\%$ and a YTM of $4\mathrm{.}75\%.$ If the bonds are currently selling at $$1,075.$ What should you be willing to pay for the bond? What is the relationship between YTM and bond price?