$($Bond valuation$)$ You own a $15-$year, $$1,000$ par value bond paying $6$ percent interest annually. The market price of the bond is $$900,$ and your required rate of return is $9$ percent.

a$.$ Compute the bond's expected rate of return. What is the expected rate of return of the $15-$year, $$1,000$ par value bond paying $6$ percent interest annually if its market price is $$900?$

b$.$ Determine the value of the bond to you, given your required rate of return.

c$.$ Should you sell the bond or continue to own it$?$