In: Finance
USING EXCEL FORMULAS ONLY AND SHOWING ALL WORK:
COST OF DEBT USING THE APPROXIMATION FORMULA: For each of the following $1,000 par value bonds, assuming annual interest payment and a 21% tax rate, please calculate the after-tax cost to maturity using the approximation formula B
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Bond a |
Par Value b |
Life (years) c |
Underwriting fee d |
Discount(-) or
Premium(+) e |
Coupon Interest Rate f |
Bond Price g = (b-d+e) |
Coupon Payment h = f*b |
Bond Price - Par value i = b - g |
j = i/c | k = h+j |
(Bond Price + Par value) /
2 l = (b + g)/2 |
Cost to maturity m = k/l |
Tax rate n |
After tax cost to
maturity o = m*(1-n) |
A | 1,000 | 20 | 25.00 | -20 | 9% | 955.00 | 90 | 45.00 | 2.2500 | 92.2500 | 977.50 | 9.437% | 21% | 7.455% |
B | 1,000 | 16 | 40.00 | 10 | 10% | 970.00 | 100 | 30.00 | 1.8750 | 101.8750 | 985.00 | 10.343% | 21% | 8.171% |
C | 1,000 | 15 | 30.00 | -15 | 12% | 955.00 | 120 | 45.00 | 3.0000 | 123.0000 | 977.50 | 12.583% | 21% | 9.941% |
D | 1,000 | 25 | 15.00 | 0 | 9% | 985.00 | 90 | 15.00 | 0.6000 | 90.6000 | 992.50 | 9.128% | 21% | 7.211% |
E | 1,000 | 22 | 20.00 | -60 | 11% | 920.00 | 110 | 80.00 | 3.6364 | 113.6364 | 960.00 | 11.837% | 21% | 9.351% |
Notes:
after-tax cost to maturity formulae is given below
Assumed annual interest payment
coupon payment is calculated by calculating interest on bonds par value.