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Answer:
a) Pre-tax cost of debt is 8.45%
b) After tax cost of debt is 5.07%
Explanation:
a) Given:
Debt issue outstanding = $15.5 million
Semi-annual coupon rate = 0.063 / 2 = 0.0315
Assumed par value (FV) = $1,000
Coupon payment (pmt) = 0.0315 × 1000 = $31.5
Current bond price (PV) = 92% of $1,000 = $920
Time period (nper) = 5 × 2 = 10 periods
Calculate semi-annual rate using spreadsheet function =Rate(nper,pmt,PV,FV)
Semi-annual rate = 4.14%
Pmt and FV are negative as they are cash outflows.
YTM = 4.14 × 2 = 8.28%
Effective annual rate =
=
= 0.0845 or 8.45%
b) Tax rate is 40%
After tax cost of debt = Pre tax cost of debt × (1 - 0.4)
= 0.0845 × 0.6
= 0.0507 or 5.07%
