Valuing the cash flows to capital under the pre-bid plan when interest tax shields are included in the cash flows (millions of dollars except per share data) 1989
1990
1991
1992
1993
Cash Flows available for capital payments [a]
517
948
1399
2073
2551
Cash Interest [a]
582
662
693
690
658
Cash Flows available for capital [b]
1099
1610
2092
2763
3209
Discount Rate [c]
14.6
14.6
14.6
14.6
14.6
Cumulative discount factor [d]
0.87
0.76
0.66
0.58
0.51
0
2
4
13553
13553
13553
8008
9279
11030
Less: Assumed Debt
21561
22832
24583
Net Value
16357
17628
19379
71
77
85
Cash Flows
Present Value Valuation Growth in cash flows after 1998 Present value of cash flows, 1989-98 Present Value of terminal value [e]
Net Value per share [f]
a=case exhibit 5 b=cash flows available for capital equal cash flows available for capital payments plus cash interest c=discount rate is computed using the CAPM, with an unlevered asset beta of 0.70, a risk-free rate of 9% and a risk premium d=the cumulative discount factor for each year is the present value of $1 received at the end of the year e=calculated as the present value in 1988 of a growing perpetuity of the 1998 cash flow available to capital f=assumes 229 million shares outstanding
n the cash flows
1994
1995
1996
1997
1998
2869
3253
3617
4075
4589
594
458
410
259
-21
3463
3711
4027
4334
4568
14.6
14.6
14.6
14.6
14.6
0.44
0.39
0.34
0.29
0.26
e of 9% and a risk premium of 8%
Cost of capital under the pre-bid plan using tax-adjusted discount rates (millions of dollars) Assumptions Unlevered asset beta = 0.70 Assumed debt beta = 0 Risk free rate = 9% after tax expected return [a]=5.9% risk premium = 8% Beginning of year book values Assumed debt Market Value of equity [b] value of rjr nabisco Equity beta [c] 0.98 cost of equity [d] (in %) WACC [in %]
1989 5204 12790 17994
1990 4894 14949 19843
1991 4519 17405 21924
1992 3798 20199 23997
1993 3982 23361 26343
1994 2582 26939 29521
0.98 16.9 13.7
0.94 16.5 13.8
0.89 16.1 14
0.84 15.7 14.1
0.8 15.4 14.3
0.77 15.2 14.3
a=cost of debt is assumed to be the risk free rate because the beta of the debt is assumed to be zero. The tax rate is 34% b= the market value of equity is assumed to grow at the cost of equity c= the levered equity beta (beta-e)=E/V[beta-a], where E is the market value of jr nabisco and beta-a is the unlevered asset b d=caculated using the CAPM
Using a 34% tax rate, after tax debt rates are calculated as 66% of the CAPM determ Exhibit TN-5 Value at the beginning of the year. Assumes that the market value of equity begins
(d)
The equity beta with positive subordinated debt and preferred stock betas is
1990
1991
1992
1993
1994
1995
1996
1997
1998
4894 3292 3000
4519 3075 3000
3798 2877 3000
2982 2411 3000
2852 1217 3000
1854 0 3000
0 0 2510
0 0
0 0
1632 1035
1938 1229
2303 1460
2736 1735
3250 23061
3861 2448
4587 2909
5162 3455
2801 4105
4187
5461
6905
5830
10347
12369
14614
17108
19916
18039
19222
20343
21394
22457
23532
24620
25725
26822
2.7
2.2
1.8
1.5
1.3
1.1
1
0.9
0.9
30.40%
26.50%
23.50%
21.30%
19.50%
18.10%
17.10%
16.40%
15.80%
12.00%
12.20%
12.40%
12.50%
12.70%
12.90%
13.10%
13.30%
13.60%
s 66% of the CAPM determined rate based on the assumed beta. Preferred stock expected returns are also calculated using the CAPM
ket value of equity begins at the management groups equity investment of $2.5 billion and grows at the cosqt of equity
Cost of capital under KKR's plan using the tax-adjusted discount rates [millions of dollars] Assumptions Unlevered beta = 0.70 Risk free rate = 9% Risk premium =8% Beginning of year book values [b] Assumed debt Bank debt senior subordinated debt subordinated debt converting debt preferred stock market value of equity [c] value of rjr nabisco equity beta [d] cost of equity [e] wacc [f]
a=using a 34% tax rate, after tax debt rates are calculated as 66% of the CAPM determined rate based on the assumption bet b= exhibit 9 c=value at the beginning of the year. Assumes that the market value of equity begins at KKR's equity investment of $2.5 billio
Summary of the values of the three different rjr nabisco plans when interest tax shields are included in the cash flows (millions of dollars except per share data) Discount rate [a] cumulative discount factor [b]
1989 14.6 0.87
1990 14.6 0.76
1991 14.6 0.66
517 582 1099 959
948 662 1610 1225
1399 693 2092 1390
12018 2792 14810 12923
593 1353 1946 1482
919 1286 2205 1465
3732 2548 6280 5480
3521 2103 5625 4283
1414 1685 3099 2059
Valuing the cash flows to capital under the pre-bid plan [interest tax shields in cash flows] Cash flows for available for capital payments[h] [exh.5] Cash interest [exh.5] Cash flows available for capital [h] present value
Valuing the cash flows to capital under the management group plan [interest tax shields in cash flows] Cash flows for available for capital payments[h] [exh.5] Cash interest [exh.5] Cash flows available for capital [h] present value
Valuing the cash flows to capital under KKR's plan [interest tax shields in cash flows] Cash flows for available for capital payments[h] [exh.5] Cash interest [exh.5] Cash flows available for capital [h] present value
1992 14.6 0.58
1993 14.6 0.51
1994 14.6 0.44
1995 14.6 0.39
1996 14.6 0.34
1997 14.6 0.29
1998 Terminal Value [c] 14.6 0.26
2073 690 2763 1602
2551 658 3209 1624
2869 594 3463 1529
3253 458 3711 1429
3617 410 4027 1354
4075 259 4334 1271
4589 -21 4568 1169
31288 8008
1282 1183 2465 1429
1594 10387 2631 1331
1946 850 2796 1234
2344 624 2967 1143
2797 351 3149 1058
3332 0 3332 997
3666 0 3666 938
25109 6427
1740 1522 3262 1891
1983 1321 3304 1672
2383 1088 3471 1532
2832 806 3637 1401
3330 487 3817 1283
3956 21 3977 1166
4319 0 4319 1106
29584 7572
Total [d]
less debt [e]
equity value [f]
per share [g]
21561
5204
16357
71
30408
5204
25204
110
29444
5204
24240
106
TN-13 Summary of values of the three different RJR Nabisco plans using after tax adjusted discount rates (millions of dollar 1989 1990 1991 Valuing the cash flows to capital under the prebid plan (interest tax shield in WACC) Cash Flows Available for 517 948 1399 Capital Payments (f) 384 437 457 After tax cash interest Cash Flows Available for 901 1385 1856 Capital WACC 13.70% 13.80% 13.90% Cumulative WACC 0.88 0.77 0.68 Present Value 793 1070 1259 Valuing the cash flows to capital under the management group plan (interest tax shields in WACC) Cash Flows Available for Capital Payments 12018 593 919 After tax cash interest 1843 893 849 Cash Flows Available for Capital 13861 1486 1768 WACC 11.70% 12.00% 12.20% Cumulative WACC 0.9 0.8 0.71 Present Value 12411 1187 1259 Valuing the cash flows to capital under the KKR's plan (interest tax shields in WACC) Cash Flows Available for Capital Payments 3732 3521 After tax cash interest 1682 1388 Cash Flows Available for Capital 5414 4909 WACC 11.50% 11.70% Cumulative WACC 0.9 0.8 Present Value 4854 3941
a b c d e f
calculated as a perpetuity of the 1998 cash flows present
1414 1112 2526 11.90% 0.72 1813
d discount rates (millions of dollars except pe share data) 1992 1993 1994 1995
1996
1997
a b 1998 Terminal Value Total
2073 455
2551 434
2869 392
3253 302
3671 271
4075 171
4589 -14
2528
2985
3261
3555
3942
4246
4575
31337
14.10% 0.59 1502
14.20% 0.52 1553
14.30% 0.46 1484
14.40% 0.4 1414
14.60% 0.35 1349
14.60% 0.3 1286
14.60% 0.26 1209
8283
1282 781
1594 685
1946 561
1344 412
2797 232
3332 0
3666 0
2063 12.40% 0.63 1308
2279 12.50% 0.56 1284
2507 12.70% 0.5 1253
1756 12.90% 0.44 1220
3029 13.10% 0.39 1187
3332 13.30% 0.35 1151
3666 13.60% 0.3 1115
1740 1005
1983 872
2383 718
2832 532
3330 321
3956 14
4319 0
2745 12.00% 0.64 1758
2855 12.60% 0.57 1625
3101 12.80% 0.5 1565
3364 12.90% 0.45 1503
3651 13.10% 0.39 1442
3970 13.40% 0.35 1382
4319 13.70% 0.31 1322
21203
26882
8175
31550
31447
9628
30834
c d e Less Debt Equity Value Per Share
5204
15999
70
5204
263465
115
5204
25630
112
TN-14 Selected Operating Flows Under the three different Plans 1989
1990
1991
198 936 949
225 796 460
236 679 437
Planned Capital Expenditure Pre-bid strategy KKR's Strategy Management Group's Startegy
1708 774 432
1462 556 381
1345 555 380
Net Proceeds from Asste Sales Pre-bid strategy KKR's Strategy Management Group's Startegy
NOTE: Data for prebid strategy are from Exhibit 5; for the management group strategy fro Exhibit 6 and for KKR's strategy fro (a) terminal values are calculated as perpetuities of the 1998 value without growth using a 14.6% discount rate (b) Calculated using a 14.6% discount rate
1992
1993
1994
1995
1996
1997
235 642 402
224 449 353
2 37 289
156 274 212
139 166 119
88 7 0
-7 0 0
0 0 0
930 572 389
738 586 396
735 598 402
735 618 412
735 636 422
735 658 432
735 678 442
5034 4644 3024
0 0 0
0 0 0
0 0 0
0 0
0 0 0
0 0 0
0 0 0
0 0 0
3632 3639 2891
2924 3895 3118
4228 4162 3357
4560 4453 3621
4925 4771 3910
5326 5120 4229
5761 5501 4580
39458 37678 31367
xhibit 6 and for KKR's strategy from exhibit 7 using a 14.6% discount rate
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