O'Brien Ltd.'s outstanding bonds have a $1,000 par value, and they mature in 25 years. Their nominal annual, not semiannual yiel
d to maturity is 9.25%, they pay interest semiannually, and they sell at a price of $875. What is the bond's nominal coupon interest rate?
1 answer:
Answer:
7.84%
Explanation:
Given:
Bond's par value (FV) = $1,000
Maturity (nper) = 25 × 2 = 50 periods (since it's semi-annual)
YTM (rate) = 0.0925÷2 = 0.04625 semi annually
Price of bond (PV) = $875
Calculate coupon payment (pmt) using spreadsheet function =pmt(rate,nper,-PV,FV)
PV is negative as it's a cash outflow.
So semi- annual coupon payment is $39.20
Annual coupon payment = 39.2×2 = $78.40
Nominal Coupon rate = Annual coupon payment ÷ Par value
= 78.4 ÷ 1000
= 0.0784 or 7.84%
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