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In: Finance

Abascus limited issued 15 year, 14% bonds five years ago. The bond which has a face...

Abascus limited issued 15 year, 14% bonds five years ago. The bond which has a face value of Rs. 100 is currently selling for Rs. 108.

a. What is the pre tax cost of debt?

b. What is the after tax cost of debt.

Solutions

Expert Solution

12.00% 13.00%
Year Cash Flow PV factor = 1/ (1+r)^t PV PV factor = 1/ (1+r)^t PV
0 $                         (108.00) 1.000 $    (108.00) 1.000 $ (108.00)
1 $                             14.00 0.893 $       12.50 0.885 $     12.39
2 $                             14.00 0.797 $       11.16 0.783 $     10.96
3 $                             14.00 0.712 $          9.96 0.693 $       9.70
4 $                             14.00 0.636 $          8.90 0.613 $       8.59
5 $                             14.00 0.567 $          7.94 0.543 $       7.60
6 $                             14.00 0.507 $          7.09 0.480 $       6.72
7 $                             14.00 0.452 $          6.33 0.425 $       5.95
8 $                             14.00 0.404 $          5.65 0.376 $       5.27
9 $                             14.00 0.361 $          5.05 0.333 $       4.66
10 $                             14.00 0.322 $          4.51 0.295 $       4.12
10 $                           100.00 0.322 $       32.20 0.295 $     29.46
Total $          3.30 Total $      (2.57)
NPV @ 0.12 $                               3.30
NPV @ 0.13 $                              (2.57)
Difference in both $                               5.87
YTM =Lower rate + Difference in rates*(NPV at lower rate)/(Lower rate NPV-Higher rate NPV)
'=12%+ (13%-12%)*(3.3004/(3.3004+2.5737)
YTM 12.56%
Tax rate 30.00% Assumed as not given in the question
After-tax cost 12.56% * (1-30%)
After-tax cost 8.79%

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