What is the yield to maturity

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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What is the yield to maturity on a $1,000 par value 6⅞ percent Hilton Corporation bond if the investor buys the bond at a market price of $1,250.00? Assume the coupon is paid annually and the bond matures in 15 years.

I ask that this be explained as detailed as possible, I have no problem being taught like a 5 year old.  The math for this class is what is the most confusing to me, and quite frankly I'd rather have it over explained to me than just simply be given the answer.

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