Question

O'Brien Ltd.'s outstanding bonds have a $1,000 par value, and they mature in 25 years. Their nominal annual, not semiannual yield 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?

Answer 1

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%