emily is contemplating the purchase of a 20-year bond that pays $50 interest every six months. the face value of the bond is $1,000. she plans to hold the bond for 10 years and sell it. she requires a 12 percent annual return but believes that the market will give only an 8 percent return when she sells the bond 10 years from now. assuming she is a rational investor, how much should she be willing to pay for the bond today?