Valuing the cash flows to capital under the pre-bid plan when interest tax shields are in (millions of dollars except per share data) 1989
1990
1991
Cash Flows available for capital payments [a]
517
948
1399
Cash Interest [a]
582
662
693
1099
1610
2092
Discount Rate [c]
14.6
14.6
14.6
Cumulative discount factor [d]
0.87
0.76
0.66
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
Cash Flows available for capital [b]
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 interes c=discount rate is computed using the CAPM, with an unlevered asset beta of 0.70, a risk-free rate d=the cumulative discount factor for each year is the present value of $1 received at the end of th e=calculated as the present value in 1988 of a growing perpetuity of the 1998 cash flow available f=assumes 229 million shares outstanding
st tax shields are included in the cash flows
1992
1993
1994
1995
1996
1997
1998
2073
2551
2869
3253
3617
4075
4589
690
658
594
458
410
259
-21
2763
3209
3463
3711
4027
4334
4568
14.6
14.6
14.6
14.6
14.6
14.6
14.6
0.58
0.51
0.44
0.39
0.34
0.29
0.26
ments plus cash interest of 0.70, a risk-free rate of 9% and a risk premium of 8% ceived at the end of the year 98 cash flow available to capital
Cost of capital under the pre-bid plan using tax-adjusted discount rates (millions of doll 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
0.98 16.9 13.7
0.94 16.5 13.8
0.89 16.1 14
0.84 15.7 14.1
a=cost of debt is assumed to be the risk free rate because the beta of the debt is assumed to be z 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 bet d=caculated using the CAPM
count rates (millions of dollars)
1993 3982 23361 26343
1994 2582 26939 29521
1995 1854 31016 32870
1996 0 35649 35649
1997 0 40853 40853
1998 0 46818 46818
0.8 15.4 14.3
0.77 15.2 14.3
0.75 15 14.4
0.7 14.6 14.6
0.7 14.6 14.6
0.7 14.6 14.6
of the debt is assumed to be zero. The tax rate is 34%
ket value of jr nabisco and beta-a is the unlevered asset beta
TN-6 Cost of capital under management group plan using tax adjusted discount rates (m Assumptions Bank Debt beta 0 Unlevered asset Beta 0.7 after tax ra 0.06 Risk free rate 9% risk premium 8% Assumed debt: beta 0 after tax ra 0.06
when tax adjusted discount rates are included in the cash flows(mn of dollrs exceot per share da 1992 1282 781 2063 12.4% 0.63 1299.69 1308
1993 1594 685 2279 12.5% 0.56 1276.24 1284
1994 1946 561 2507 12.7% 0.5 1253.5 1253
2% 23375 9580
4% 23375 11568
32955 5204 27751 121.18341
34943 5204 29739 129.86463
ments plus cash interest
1995 2344 412 2756 12.9% 0.44 1212.64 1220
1996 2797 232 3029 13.1% 0.39 1181.31 1187
1997 3332 0 3332 13.3% 0.35 1166.2 1151
1998 3666 0 3666 13.6% 0.3 1099.8 1115
f dollrs exceot per share data)
Valuing the cash flows to capital under the KKR's plan when interest tax sheilds are incl Cash Flows 1989 Cash flows available f 3732 After tax cash interest 2548 Cash flows available fo 6280 WACC(d) 14.6% Cumulative discount fa 0.87 Present value 5463.6 As per shee 5480 Valuation Growth in cash flows after 1998 Present value of cash flows,1989 Present value of terminal value(f)
Less: Assumed debt Net value Net value per share(g)
Cost of capital under KKR's plan using the tax-adjusted discount rates [millions of dolla 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 ba b= exhibit 9 c=value at the beginning of the year. Assumes that the market value of equity begins at KKR's equ
[millions of dollars] Bank debt Sub-ordinated debt converting debt Beta 0 0.25 0.25 After tax rate [a] 0.06 0.07 0.07
sted discount rates (mn of dollrs exceot per share data) 1993 1983 872 2855 12.6% 0.57 1627.35 1625
1994 2383 718 2915 12.8% 0.5 1457.5 1565
1995 2832 532 3153 12.9% 0.45 1418.85 1503
1996 3330 321 3344 13.1% 0.39 1304.16 1442
4% 21206 13583
34789 5204 29585 129.19214
ta of 0.7 a risk free rate of 9% and risk premium of 8%
ents plus cash interest
1997 3956 14 3970 13.4% 0.35 1389.5 1382
1998 4319 0 4319 13.7% 0.31 1338.89 1322
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
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
517 582 1099 959
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
12018 2792 14810 12923
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
3732 2548 6280 5480
1990 14.6 0.76
1991 14.6 0.66
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
948 662 1610 1225
1399 693 2092 1390
2073 690 2763 1602
2551 658 3209 1624
2869 594 3463 1529
3253 458 3711 1429
3617 410 4027 1354
593 1353 1946 1482
919 1286 2205 1465
1282 1183 2465 1429
1594 10387 2631 1331
1946 850 2796 1234
2344 624 2967 1143
2797 351 3149 1058
3521 2103 5625 4283
1414 1685 3099 2059
1740 1522 3262 1891
1983 1321 3304 1672
2383 1088 3471 1532
2832 806 3637 1401
3330 487 3817 1283
1997 14.6 0.29
1998 Terminal Value [c] 14.6 0.26
Total [d] less debt [e]
4075 259 4334 1271
4589 -21 4568 1169
31288 8008
21561
5204
3332 0 3332 997
3666 0 3666 938
25109 6427
30408
5204
3956 21 3977 1166
4319 0 4319 1106
29584 7572
29444
5204
equity value [f] per share [g]
16357
71
25204
110
24240
106
TN-13 Summary of values of the three different RJR Nabisco plans using after tax adjust 1989 Valuing the cash flows to capital under the prebid plan (interest tax shield in WACC) Cash Flows Available for 517 Capital Payments (f) 384 After tax cash interest Cash Flows Available for 901 Capital WACC 13.70% Cumulative WACC 0.88 Present Value 793
Valuing the cash flows to capital under the management group plan (interest tax shield Cash Flows Available for Capital Payments 12018 After tax cash interest 1843 Cash Flows Available for Capital 13861 WACC 11.70% Cumulative WACC 0.9 Present Value 12411 Valuing the cash flows to capital under the KKR's plan (interest tax shields in WACC) Cash Flows Available for Capital Payments 3732 After tax cash interest 1682 Cash Flows Available for Capital 5414 WACC 11.50% Cumulative WACC 0.9 Present Value 4854
a b c d e f
calculated as a perpetuity of the 1998 cash flows present
plans using after tax adjusted discount rates (millions of dollars except pe share data) 1990 1991 1992 1993 1994 1995 1996 est tax shield in WACC) 948 1399 2073 2551 2869 3253 3671 437 457 455 434 392 302 271 1385
1856
2528
2985
3261
3555
3942
13.80% 0.77 1070
13.90% 0.68 1259
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
up plan (interest tax shields in WACC) 593 893
919 849
1282 781
1594 685
1946 561
1344 412
2797 232
1486 12.00% 0.8 1187
1768 12.20% 0.71 1259
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
est tax shields in WACC) 3521 1388
1414 1112
1740 1005
1983 872
2383 718
2832 532
3330 321
4909 11.70% 0.8 3941
2526 11.90% 0.72 1813
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
pt pe share data) 1997
a b 1998 Terminal VTotal
4075 171
4589 -14
4246
4575
31337
14.60% 0.3 1286
14.60% 0.26 1209
8283
3332 0
3666 0
3332 13.30% 0.35 1151
3666 13.60% 0.3 1115
3956 14
4319 0
3970 13.40% 0.35 1382
4319 13.70% 0.31 1322
c d e Less DebtEquity ValPer Share
21203
5204
15999
70
31550
5204
263465
115
30834
5204
25630
112
26882
8175
31447
9628
er Share
TN-14 Selected Operating Flows Under the three different Plans 1989 Interest Tax Shields (interest * tax rate) Pre-bid strategy KKR's Strategy Management Group's Startegy Planned Capital Expenditure Pre-bid strategy KKR's Strategy Management Group's Startegy 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 (a) terminal values are calculated as perpetuities of the 1998 value without growth using a (b) Calculated using a 14.6% discount rate
1990
1991
1992
1993
1994
1995
1996
225 796 460
236 679 437
235 642 402
224 449 353
2 37 289
156 274 212
139 166 119
1462 556 381
1345 555 380
930 572 389
738 586 396
735 598 402
735 618 412
735 636 422
0 2700 0
0 0 0
0 0 0
0 0 0
0 0 0
0 0
0 0 0
3352 3414 2584
3632 3639 2891
2924 3895 3118
4228 4162 3357
4560 4453 3621
4925 4771 3910
tes) + depriciation) 2993 3121 2299
ent group strategy fro Exhibit 6 and for KKR's strategy from exhibit 7 value without growth using a 14.6% discount rate
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