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Finance Professionals' Guide

The document provides calculations to determine the weighted average cost of capital (WACC) for a company. It first calculates the costs of different sources of capital, including equity at 18.5%, retained earnings at 18%, preference shares at 14.29%, and debentures at 10.95%. It then weights these costs by the market value of each source to calculate WACC using market values as 17.51%. The document also includes illustrations calculating cost of debt under different tax rates and for debt issued at par, premium, and discount.

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Sanchay Bharara
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78 views5 pages

Finance Professionals' Guide

The document provides calculations to determine the weighted average cost of capital (WACC) for a company. It first calculates the costs of different sources of capital, including equity at 18.5%, retained earnings at 18%, preference shares at 14.29%, and debentures at 10.95%. It then weights these costs by the market value of each source to calculate WACC using market values as 17.51%. The document also includes illustrations calculating cost of debt under different tax rates and for debt issued at par, premium, and discount.

Uploaded by

Sanchay Bharara
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as XLSX, PDF, TXT or read online on Scribd
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1.(i) Cost of Equity (Ke) = D₁ /(P0-F) + g = 15/(125-5)+0.

06 (refer to working note)


ke = 0.125+.0.06 = 0.185
Working Note: Calculation of 'g'
10.6(1+g)^5 = 14.19 Or, (1+g)^5 = 14.19/10.6 =1.338
Table (FVIF) suggests that 1 compounds to 1.338 in 5 years at the compound rate of 6 percent. Therefore, g is 6 per cent.
(ii) D₁ Cost of Retained Earnings (Ks) = d1/p0+ g = 15/125 +0.06 = 0.18
(iii) Cost of Preference Shares (Kp) = PD/Po = 15/105 = 0.1429
(iv) Cost of Debentures (ka) = (I(1-t) + ( ( RV-NP)/ n ) )/ (RV +NP) /2
= (15
Since *0.65+0.75)/95.875
yield on similar type of=debentures
10.5/95.875is=0.1095
16 per cent, the company would be required to offer debentures at discount. Mark
method)
15+ 0.16 = 93.75
Sale proceeds from debentures=293.75 -2 (i.e., floatation cost) = 91.75
Market value (Po) of debentures can also be found out using the present value method:
Po Annual Interest PVIFA (16%, 11 years)+ Redemption value x PVIF (16%, 11 years)
Po = 15x5.029 + 7100 × 0.195
Po = 75.435+19.5=94.935
Net Proceeds = 94.935-2% of 100 = 92.935
Accordingly, the cost of debt can be calculated

source of capital
equity shares
retained shares
preference shares
debentures
total

*Market Value of equity has been apportioned in the ratio of Book Value of equity and retained earnings

Weighted Average Cost of Capital (WACC):

using book value=33.73/195 = 17.29%


using market value= 42.76/244.15 = 17.51%

Illustration 1.

a. Tax Rate=50 %
Cost of Debt (Kd)= 1/Np*(1-t)
750000/7500000*(1-0.5)
0.05
5%

b. Tax Rate=40%
Kd =750000/7500000*(1-0.4)
0.06
6%
c. Tax Rate=45%
Kd =1/10*(1-0.45)
0.055
5.5%

Illustration 2

Type
At Par

At Premium

At discount

We can see that cost of debt has advantage as it declines as rate of tax increases

Illustration 3

Kd
NP

Kd
weights total cost
bv mv specific cost(k) (bv*k)
120 160 0.185 22.2
30 40 0.18 5.4
36 33.75 0.1429 5.14
9 10.4 0.1095 0.986
195 244.15 33.73
Before Tax Adjustment After Tax Adjustment
Kd= I/NP 12/100*(1-0.20)
0.12 0.096
12% 9.60%
Kd= I/NP
12/110 12/110*(1-0.3)
0.109 0.076
10.90% 7.64%
NP= Principal+Premium
Kd= I/NP 12/90*(1-0.4)
0.1333 0.08
13.33% 8%

1/NP(1-t)
principal amount -expense on issue
580000
54000/580000(1-0.40)
0.0931*0.6
5.58%
total cost
(mv*k)
29.6
7.2
4.82
1.139
42.76

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