Consider the following yields to maturity on various one-year zero-coupon securities: SecurityYield (%)Treasury4.6AAA corporate4.8BBB corporate5.6B Corporate6.2The price (expressed as a percentage of the face value) of a one-year, zero-coupon corporate bond with a BBB rating is closest to:a.92.70b.95.60.c.94.16.d.94.70.e.95.42.
Question
Consider the following yields to maturity on various one-year zero-coupon securities: SecurityYield (%)Treasury4.6AAA corporate4.8BBB corporate5.6B Corporate6.2The price (expressed as a percentage of the face value) of a one-year, zero-coupon corporate bond with a BBB rating is closest to:a.92.70b.95.60.c.94.16.d.94.70.e.95.42.
Solution
The correct answer is c. 94.16.
The price of a zero-coupon bond is calculated using the formula:
Price = Face Value / (1 + Yield)
In this case, the face value is 100 (since it's expressed as a percentage of the face value) and the yield is 5.6% or 0.056 for a BBB corporate bond.
So, the price is 100 / (1 + 0.056) = 94.16.
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