COST OF EQUITY - CAPITAL ASSET PRICING MODEL Cost Of Equity = Rf + ( Rm - Rf )* β
Date
INDEX
PERCENTAGE RETURN (daily) High
Low
PERCENTAGE RETURN
Average
2002 April May June July August September October November December January February March
3338.16 3125.73 3244.70 2987.65 3181.23 2991.36 2949.32 3228.82 3377.28 3311.03 3562.31 3469.35
-6.36 3.81 -7.92 6.48 -5.97 -1.41 9.48 4.60 -1.96 7.59 -2.61 -3.78
49.25 53.00 60.00 74.40 57.50 59.80 60.00 67.50 76.00 91.00 80.50 77.50
32.50 37.05 36.75 43.20 45.15 46.00 47.25 53.60 59.00 70.75 72.00 65.00
40.88 45.03 48.38 58.80 51.33 52.90 53.63 60.55 67.50 80.88 76.25 71.25
10.15 7.44 21.55 -12.71 3.07 1.37 12.91 11.48 19.81 -5.72 -6.56 0.70
April May June July August September October November December January February March
3338.16 3180.75 3607.13 3792.61 4244.73 4453.24 2960.87 5044.82 5838.96 5695.67 5667.51 5590.6
-4.72 13.41 5.14 11.92 4.91 -33.51 70.38 15.74 -2.45 -0.49 -1.36 1.15
77.00 114.90 122.20 145.00 176.00 182.00 189.00 184.80 222.00 216.00 160.10 150.00
66.50 75.60 86.55 109.20 130.00 141.10 151.65 162.00 174.00 140.00 132.00 121.05
71.75 95.25 104.38 127.10 153.00 161.55 170.33 173.40 198.00 178.00 146.05 135.53
32.75 9.58 21.77 20.38 5.59 5.43 1.81 14.19 -10.10 -17.95 -7.21 17.69
5655.09 4759.62 4795.46 5170.32 5192.08 5583.61 5672.27 6234.29 6602.69 6555.94 6713.86 6492.82
-15.83 0.75 7.82 0.42 7.54 1.59 9.91 5.91 -0.71 2.41 -3.29 -5.21
174.00 161.50 133.00 137.00 141.00 151.10 159.90 179.00 185.90 222.00 213.00 204.00
145.00 116.00 111.95 116.00 113.55 131.00 135.00 138.00 158.00 166.60 182.05 165.00
159.50 138.75 122.48 126.50 127.28 141.05 147.45 158.50 171.95 194.30 197.53 184.50
-13.01 -11.73 3.29 0.61 10.82 4.54 7.49 8.49 13.00 1.66 -6.59 -3.79
2003
2004 April May June July August September October November December January February March
2005 April May June July August September October November December January February March
6154.44 6715.11 7193.85 7635.42 7805.43 8634.48 7892.32 8788.81 9397.93 9919.89 10370.24 11279.96
9.11 7.13 6.14 2.23 10.62 -8.60 11.36 6.93 5.55 4.54 8.77 6.76
April 12042.56 Average(Monthly) Average(yearly)
3.41 40.98
188.00 257.00 263.00 254.00 246.00 272.70 240.95 241.00 308.00 319.00 295.00 389.00
167.00 175.00 227.00 209.00 206.30 230.00 202.70 212.30 291.10 251.00 240.50 254.00
177.50 216.00 245.00 231.50 226.15 251.35 221.83 226.65 299.55 285.00 267.75 321.50
434.00
285.00
359.50
2006
Source: www.nseindia.com * Share prices are adjusted after 30/12/2005 for split.
Return for period April 2002 To March 2006 (Rm)
40.98
Risk Free Rate(Rf)
10
Beta(β)
0.12
Cost Of Equity = Rf + ( Rm - Rf )* β
13.72
Computation Of Weighted Average Cost(CAPM) Source Equity Reserves Debt Total
Amount(crore) Proportion 8.42 4.04 92.29 44.29 107.66 51.67 208.37 100.00
After Tax Cost(%) 13.72 13.72 5.19 WACC
Weighted Cost(%) 0.55 6.08 2.68 9.31
21.69 13.43 -5.51 -2.31 11.14 -11.75 2.18 32.16 -4.86 -6.05 20.07 11.82
COST OF DEBT Table - Total Debt
TATA CHEMICALS
Mar 2005
Mar 2006
12 mths
12 mths
cash/packing credit
53.33
23.88
l term loan
87.46
89.24
from financial term loans
60.81
47.31
foreign currency convertible bonds
655.95
669.3
short term loans from banks
466.67
624.76
1324.22
1454.49
9.29
24.57
Total Debt Interest
Since cost of short term debt and long term debt is not given, the after tax weighted average cost of capital is calculated as follows:
Cost Of Debt (Before Tax) =Total Interest / ( Long term debt + Short term debt) 9.29/1324.22 = 8.60 / (107.66) =
0.01 7.00%= % 7.98%
Cost Of Debt(After Tax)[Kd ]= Interest Rate ( 1 - T ) 0.01=(1-0.35) 0.0798 ( 1 - 0.35 ) =
0.05= .0519
=
4.55=%5.19%
COST OF EQUITY BY DIVIDEND GROWTH MODEL ke = (DIV1/P0) + g Estimation of growth rate (1) Internal Growth g = Retention Ratio * ROE Year 2005 2006
DPS 5.17 5.58
EPS 15.83 16.14
BV 135.04 156.76
MV 148.88 245.35
PAT 340.55 353.03
NW 1997.84 2167.7
ROE (%) 17.05 16.29
Average
5.38
15.99
145.90
197.12
346.79
2082.77
16.67
DY (%) Retention(%) 3.47 67.34 2.27 65.43 2.87
66.38
Since in year 2006, there is decline in the PAT and hence EPS. Therefore to calculate growth the average values of last 6 years are consifered.
Therefore, g = 0.1214 * 0.5711 0.29 *0.6638) = 0.0693 or 6.93% 0.19 (2) Past Average Growth Year 2005 2006
gDPS
1 + gDPS 1.00 0.0793 1.08
DPS 5.17 5.58
SUM 0.08 2.08 Arithmetic Average = (∑ gDPS) / n = 0.2718 0.08/2or 27.18% 0.04 Geometric Mean = ∑( 1 + g n) - 1 = (DPSn/DPS0)1/n - 1 = 0.2395 or1.08 23.95%
ESTIMATE OF GROWTH RATE and COST OF EQUITY Method Internal growth Arithmetic Average Geometric mean
Growth Rate (%) 19 4
Cost of equity (%) = [ DIVo (1 + g ) / P 0 + g
10.8
13.67
21.87 6.87
Computation Of Weighted Average Cost Of Capital(Geometric Mean) Source Equity Reserves Debt Total
Amount (crore) 215.16 1952.54 1454.49 3622.19
Proportion 5.94 53.90 40.15 100.00
After Tax Cost(%) 13.67 13.67 4.55 WACC
Weighted Cost(%) 0.81 7.37 1.83 10.01
Computation Of Weighted Average Cost Of Capital(Arithmetic Mean) Source Equity Reserves Debt Total
Amount (crore) 215.16 1952.54 1454.49 3622.19
Proportion 5.94 53.90 40.15 100.00
After Tax Cost(%) 6.87 6.87 4.55 WACC
Weighted Cost(%) 0.41 3.70 1.83 5.94
Computation Of Weighted Average Cost Of Capital(Internal Growth) Source Equity Reserves Debt Total
Amount (crore) 215.16 1952.54 1454.49 3622.19
Proportion 5.94 53.90 40.15 100.00
After Tax Cost(%) 21.87 21.87 4.55 WACC
Weighted Cost(%) 1.30 11.79 1.83 14.92
etention(%) 81.84 0.33