Yan Yan Corporation has a $$2,000$ par value bond outstanding with a coupon rate of $5\mathrm{.}5$ percent paid semiannually and $13$ years to maturity. The yield to maturity of the bond is $5\mathrm{.}8$ percent. What is the dollar price of the bond?

What must the coupon rate be on the bonds?

What is the yield to maturity of this bond?

If the yield to maturity is $3\mathrm{.}2$ percent, what is the current price of the bond in euros?