In: Finance
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.
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% |