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SAPM Ex sol

Jun 03, 2018

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    Q1 TOTAL share purchase price brokerage brokerage

    20-01-2011 15000 450.1 15000 6751500 0.003 20254.5

    6/2/2011 15000 415.14 30000 6227100 0.003 18681.3

    17-01-2011 15000 403.45 45000 6051750 0.003 18155.25

    14-4-2011 15000 432.15 60000 6482250 0.003 19446.75

    27-05-2011 30000 421.76 90000 12652800 0.003 37958.415-06-2012 10000 445.67 100000 4456700 0.0023 10250.41

    42622100 0.0173 124746.6

    13951.94175

    SALES

    No. price Total sales brokerage brokerage

    10000 446.72 10000 4467200 0.0023 10274.56

    30000 444.92 40000 13347600 0.003 40042.8

    60000 438.65 100000 26319000 0.003 78957

    44133800 129274.4

    48590500 139524.8

    turnover

    divident 45000

    tax rate

    Ordinary gain 45000 40% 27000ST capital Gain -21348.50671 15% -18146.2

    LT capital Gain 1163331.288 0% 1163331

    1186982.781 1172185

    Q1 139524.8

    Q2

    Ordinary g 45000 40% 27000

    ST capital -21348.50671 15% -18146.2LT capital 1163331.288 0% 1163331

    Q3 turn over 48590500

    expl. Cost 204041.2 0.41992%

    Q4

    if brokerage on purchase if

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    total investment (assu 42638005.52

    capital gain 1310861.059 P1

    DIVIDEND 45000 X1

    dividend tax 18000 P0

    NET DIVIDEND 27000 X0

    impact of capital gain 3.0744% capital gain

    impact of dividend tax 0.0633% Taximpact of dividend tax -0.0422% net capital

    impact of capital gain t 0.0075%

    total net impact of cap 3.13772%

    Q5 mid price sale price Quoted effective no. of shar

    446.75 446.72 12 0.12 0.06 10000

    444.965 444.92 1 0.09 0.09 30000

    440.005 438.65 2 0.11 2.71 60000

    average 0.105 1.659

    implicit cost 1.554

    total impact cost 165900 0.341%

    total execution cost 369941.2173 0.761%

    no brok

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    ST STT RTC TC STAMP DUTY explicit cos TOTAL PURCHASE COS

    2086.214 6751.5 6.7515 209.2965 0 29308.26 6780808

    1924.174 6227.1 6.2271 193.0401 0 27031.84 6254132

    1869.991 6051.75 6.05175 187.6043 0 26270.65 6078021

    2003.015 6482.25 6.48225 200.9498 0 28139.45 6510389

    3909.715 12652.8 12.6528 392.2368 0 54925.8 127077261055.792 4456.7 4.4567 138.1577 0 15905.52 4472606

    12848.9 42622.1 42.6221 1321.285 0 181581.5 42803682

    0.42603%

    0.42422%

    ST STT RTC TC STAMP DUTY

    1058.28 4467.2 4.4672 138.4832 0 15942.99 4451257

    4124.408 13347.6 13.3476 413.7756 0 57941.93 13289658

    8132.571 26319 26.319 815.889 0 114250.8 26204749

    13315.26 44133.8 44.1338 1368.148 0 188135.7 43945664

    14371.05 48590.5 48.5905 1506.306 204041.2

    explicit cos 204041.2

    Ordinary g 45000 40% 27000

    ST capital -21348.5 15% -18146.2LT capital 1329007 0% 1329007

    no brokerage on previous purchase

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    LT ST TOTAL

    44133800 39666600 4467200 44133800

    188135.7 172192.7 15942.99 188135.7

    42622100 38165400 4456700 42622100

    15905.52 0 15905.52 15905.52

    1307659 1329007 -21348.5 1307659

    -3202.28 0 -3202.28 -3202.281310861 1329007 -18146.2 1310861

    impact cost

    600

    2700

    162600

    165900

    0.3414%

    erage on purchase

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    effective price

    452.0539

    416.9421

    405.2014

    434.026

    423.5909447.2606

    2579.075

    445.1257

    442.9886

    436.7458

    1324.86

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    principle 1000

    PV 965.5

    Question nominal yi monthly nominal yield quarterly coupan rate quarterly c

    1 7.95% 0.006623 2.00% 20.00

    2 CY 8.29%

    IRR (Quart YTM

    3 YTM -965.5 2.22% 8.86%

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.0020.00

    20.00

    20.00

    1020.00

    4 BEY 8.96%

    5 EAY 9.16%

    6 YTFC -965.5 IRR (Quart YTFC20.00 2.48% 9.92%

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

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    20.00

    20.00

    20.00

    1040.00

    7 YTFC -965.5 IRR (Quart YTFPC20.00 2.29% 9.16%

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    20.00

    1020.00

    8 -965.5 IRR (Quart YTP

    20.00 2.35% 9.38%

    20.00

    20.00

    20.00

    20.0020.00

    20.00

    20.00

    20.00

    1015.00

    10 22.48414

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    upan payment

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    PV 13.63091 14.46495 15.35003 9.238619 53.75087

    PV 106.4354

    Valaue 280.9954

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    7 8 9

    23.55376 24.73145 25.96802

    40% 50% 50%

    10.00% 5.00% 5.00%

    9.421505 12.36573 12.98401136.6738

    9.421505 149.0395

    3.651589 50.44958

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    1 & 2

    RATE BOND PRICE 0.25% -0.25% 0.25% -0.25%

    1% $1,436.81 $1,421.56 $1,452.27 -1.06% 1.08%

    2% $1,377.08 ($59.73) $1,362.66 $1,391.70 -1.05% 1.06%

    3% $1,320.58 ($56.50) $1,306.94 $1,334.41 -1.03% 1.05%4% $1,267.11 ($53.47) $1,254.19 $1,280.20 -1.02% 1.03%

    5% $1,216.47 ($50.64) $1,204.24 $1,228.88 -1.01% 1.02%

    6% $1,168.49 ($47.98) $1,156.90 $1,180.25 -0.99% 1.01%

    7% $1,123.01 ($45.49) $1,112.00 $1,134.15 -0.98% 0.99%

    8% $1,079.85 ($43.15) $1,069.41 $1,090.43 -0.97% 0.98%

    9% $1,038.90 ($40.96) $1,028.98 $1,048.94 -0.95% 0.97%

    10% $1,000.00 ($38.90) $990.58 $1,009.54 -0.94% 0.95%

    11% $963.04 ($36.96) $954.09 $972.11 -0.93% 0.94%

    12% $927.90 ($35.14) $919.39 $936.52 -0.92% 0.93%

    13% $894.48 ($33.42) $886.38 $902.68 -0.91% 0.92%

    14% $862.68 ($31.81) $854.97 $870.48 -0.89% 0.90%

    15% $832.39 ($30.28) $825.05 $839.83 -0.88% 0.89%

    16% $803.54 ($28.85) $796.54 $810.62 -0.87% 0.88%

    question 6

    RATE BOND PRICE 0.25% -0.25% 0.25% -0.25%

    1% $1,679.48 $1,662.45 $1,696.75 -1.01% 1.03%

    2% $1,612.75 ($66.73) $1,596.63 $1,629.09 -1.00% 1.01%3% $1,549.56 ($63.18) $1,534.30 $1,565.04 -0.99% 1.00%

    4% $1,489.70 ($59.86) $1,475.23 $1,504.37 -0.97% 0.98%

    5% $1,432.95 ($56.75) $1,419.22 $1,446.85 -0.96% 0.97%

    6% $1,379.11 ($53.83) $1,366.09 $1,392.31 -0.94% 0.96%

    7% $1,328.02 ($51.10) $1,315.65 $1,340.54 -0.93% 0.94%

    8% $1,279.49 ($48.53) $1,267.74 $1,291.39 -0.92% 0.93%

    9% $1,233.38 ($46.11) $1,222.21 $1,244.69 -0.91% 0.92%

    10% $1,189.54 ($43.84) $1,178.92 $1,200.29 -0.89% 0.90%

    11% $1,147.84 ($41.70) $1,137.73 $1,158.07 -0.88% 0.89%

    12% $1,108.14 ($39.69) $1,098.52 $1,117.88 -0.87% 0.88%

    13% $1,070.34 ($37.80) $1,061.18 $1,079.62 -0.86% 0.87%14% $1,034.33 ($36.01) $1,025.59 $1,043.17 -0.84% 0.85%

    15% $1,000.00 ($34.33) $991.67 $1,008.43 -0.83% 0.84%

    16% $967.26 ($32.74) $959.31 $975.30 -0.82% 0.83%

    question 7

    New BOND PRICE % CHANGE in Bond Price

    New BOND PRICE % CHANGE in Bond Price

    New BOND PRICE % CHANGE in Bond Price

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    Duration Duration effect Convexity

    0.25% -0.25% 0.25% -0.25%

    $4.28 $15.36 $1,421.45 $1,452.17 0.001203 0.000075 0.000075

    $4.22 $14.52 $1,362.56 $1,391.60 0.001174 0.000073 0.000073

    $4.16 $13.74 $1,306.84 $1,334.32 0.001146 0.000072 0.000072$4.11 $13.01 $1,254.10 $1,280.12 0.001118 0.000070 0.000070

    $4.05 $12.32 $1,204.15 $1,228.79 0.001091 0.000068 0.000068

    $4.00 $11.68 $1,156.82 $1,180.17 0.001065 0.000067 0.000067

    $3.94 $11.07 $1,111.93 $1,134.08 0.001040 0.000065 0.000065

    $3.89 $10.51 $1,069.35 $1,090.36 0.001016 0.000063 0.000063

    $3.84 $9.98 $1,028.92 $1,048.87 0.000992 0.000062 0.000062

    $3.79 $9.48 $990.52 $1,009.48 0.000968 0.000061 0.000061

    $3.74 $9.01 $954.03 $972.05 0.000946 0.000059 0.000059

    $3.69 $8.57 $919.34 $936.47 0.000924 0.000058 0.000058

    $3.64 $8.15 $886.33 $902.63 0.000903 0.000056 0.000056

    $3.60 $7.76 $854.92 $870.43 0.000882 0.000055 0.000055

    $3.55 $7.39 $825.00 $839.78 0.000861 0.000054 0.000054

    $3.50 $7.04 $796.50 $810.58 0.000842 0.000053 0.000053

    Duration Duration effect Convexity

    0.25% -0.25% 0.25% -0.25%

    $4.08 $17.15 $1,662.33 $1,696.63 0.001128 0.000070 0.000070

    $4.03 $16.23 $1,596.52 $1,628.98 0.001099 0.000069 0.000069$3.97 $15.37 $1,534.19 $1,564.94 0.001071 0.000067 0.000067

    $3.91 $14.57 $1,475.13 $1,504.27 0.001044 0.000065 0.000065

    $3.86 $13.82 $1,419.13 $1,446.76 0.001018 0.000064 0.000064

    $3.80 $13.11 $1,366.00 $1,392.22 0.000992 0.000062 0.000062

    $3.75 $12.45 $1,315.57 $1,340.46 0.000968 0.000060 0.000060

    $3.70 $11.82 $1,267.67 $1,291.31 0.000944 0.000059 0.000059

    $3.64 $11.24 $1,222.14 $1,244.62 0.000920 0.000058 0.000058

    $3.59 $10.69 $1,178.85 $1,200.23 0.000898 0.000056 0.000056

    $3.54 $10.17 $1,137.67 $1,158.01 0.000876 0.000055 0.000055

    $3.49 $9.68 $1,098.46 $1,117.83 0.000854 0.000053 0.000053

    $3.45 $9.22 $1,061.12 $1,079.57 0.000834 0.000052 0.000052$3.40 $8.79 $1,025.54 $1,043.12 0.000813 0.000051 0.000051

    $3.35 $8.38 $991.62 $1,008.38 0.000794 0.000050 0.000050

    $3.31 $8.00 $959.26 $975.25 0.000775 0.000048 0.000048

    Duration Duration effect ConvexityValue Bond due to duration convexity effect

    Value Bond due to duration convexity effect

    Value Bond due to duration convexity effect

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    0.25% -0.25% 0.25% -0.25%

    $7.58 $35.11 $1,817.30 $1,887.53 0.003713 0.000232 0.000232

    $7.42 $31.86 $1,686.75 $1,750.47 0.003580 0.000224 0.000224

    $7.25 $28.95 $1,568.17 $1,626.06 0.003450 0.000216 0.000216

    $7.09 $26.34 $1,460.32 $1,512.99 0.003324 0.000208 0.000208

    $6.92 $23.99 $1,362.09 $1,410.08 0.003201 0.000200 0.000200$6.76 $21.89 $1,272.51 $1,316.29 0.003082 0.000193 0.000193

    $6.61 $20.00 $1,190.71 $1,230.70 0.002967 0.000185 0.000185

    $6.45 $18.29 $1,115.91 $1,152.49 0.002854 0.000178 0.000178

    $6.30 $16.75 $1,047.42 $1,080.93 0.002745 0.000172 0.000172

    $6.15 $15.36 $984.64 $1,015.36 0.002640 0.000165 0.000165

    $6.00 $14.11 $927.00 $955.21 0.002537 0.000159 0.000159

    $5.85 $12.97 $874.03 $899.97 0.002438 0.000152 0.000152

    $5.70 $11.94 $825.27 $849.15 0.002342 0.000146 0.000146

    $5.56 $11.01 $780.35 $802.36 0.002250 0.000141 0.000141

    $5.42 $10.16 $738.90 $759.22 0.002160 0.000135 0.000135

    $5.29 $9.38 $700.62 $719.39 0.002073 0.000130 0.000130

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    0.25% -0.25%

    $1,421.45 $1,452.17

    $1,362.56 $1,391.60

    $1,306.84 $1,334.32$1,254.10 $1,280.12

    $1,204.15 $1,228.79

    $1,156.82 $1,180.17

    $1,111.93 $1,134.08

    $1,069.35 $1,090.36

    $1,028.92 $1,048.87

    $990.52 $1,009.48

    $954.03 $972.05

    $919.34 $936.47

    $886.33 $902.63

    $854.92 $870.43

    $825.00 $839.78

    $796.50 $810.58

    0.25% -0.25%

    $1,662.33 $1,696.63

    $1,596.52 $1,628.98$1,534.19 $1,564.94

    $1,475.13 $1,504.27

    $1,419.13 $1,446.76

    $1,366.00 $1,392.22

    $1,315.57 $1,340.46

    $1,267.67 $1,291.31

    $1,222.14 $1,244.62

    $1,178.85 $1,200.23

    $1,137.67 $1,158.01

    $1,098.46 $1,117.83

    $1,061.12 $1,079.57$1,025.54 $1,043.12

    $991.62 $1,008.38

    $959.26 $975.25

    Bond due to duration & conv

    Bond due to duration & conv

    Bond due to duration & conv

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    question 8 & 9

    5 yr bond 10 yr bond 5 yr bond 10 yr bond

    Year rate CF CF PV PV Year

    1 2.00% 100 100 98.03922 98.03922 1

    2 2.50% 100 100 95.18144 95.18144 2

    3 3.00% 100 100 91.51417 91.51417 3

    4 3.50% 100 100 87.14422 87.14422 45 4.00% 1100 100 904.1198 82.19271 5

    6 4.50% 100 76.78957 6

    7 5.00% 100 71.06813 7

    8 5.50% 100 65.15989 8

    9 6.00% 100 59.18985 9

    10 6.50% 1100 585.9986 10

    Value 1275.999 1312.278

    ED Weight

    5 yr bond 4.100392 0.492992 2.021459

    10 yr bond 6.625774 0.507008 3.359323

    5.380782

    question 10

    MD 5 yr bond 10 yr bond 5 yr bond 10 yr bond 5 yr bond 10 yr bond

    Year rate CF CF PV PV T.PV T.PV

    1 2.00% 100 100 98.03922 98.03922 98.03922 98.03922

    2 2.50% 100 100 95.18144 95.18144 190.3629 190.3629

    3 3.00% 100 100 91.51417 91.51417 274.5425 274.5425

    4 3.50% 100 100 87.14422 87.14422 348.5769 348.5769

    5 4.00% 1100 100 904.1198 82.19271 4520.599 410.96366 4.50% 100 76.78957 460.7374

    7 5.00% 100 71.06813 497.4769

    8 5.50% 100 65.15989 521.2791

    9 6.00% 100 59.18985 532.7086

    10 6.50% 1100 585.9986 5859.986

    1275.999 1312.278 5432.121 9194.674

    MD Weight

    5 yr bond 4.257152 0.492992 2.09874

    10 yr bond 7.006652 0.507008 3.552431

    5.651171effect of delta y on ED

    5 yr bond 10 yr bond 5 yr bond 10 yr bond

    Year rate CF CF PV PV Year

    1 2.00% 100 100 98.03922 98.03922 1

    2 2.50% 100 100 95.18144 95.18144 2

    3 3.00% 100 100 91.51417 91.51417 3

    4 3.50% 100 100 87.14422 87.14422 4

    5 4.00% 1100 100 904.1198 82.19271 5

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    6 4.50% 100 76.78957 6

    7 5.00% 100 71.06813 7

    8 5.50% 100 65.15989 8

    9 6.00% 100 59.18985 9

    10 6.50% 1100 585.9986 10

    1275.999 1312.278ED W weighted ED

    5 yr bond 4.100265 0.492992 2.021396

    10 yr bond 6.625231 0.507008 3.359047

    5.380443

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    4.40% 100 77.23195 6 4.60%

    4.90% 100 71.54373 7 5.10%

    5.40% 100 65.6561 8 5.60%

    5.90% 100 59.69478 9 6.10%

    6.40% 1100 591.5295 10 6.60%

    1281.245 1321.011

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    10 yr bond 5 yr bond 10 yr bond

    CF PV PV

    100 97.79951 97.79951

    100 94.71883 94.71883

    100 90.85102 90.85102

    100 86.30731 86.30731100 893.3309 81.2119

    100 75.6965

    100 69.89486

    100 63.9377

    100 57.94815

    1100 572.4187

    Value 1263.008 1290.785

    10 yr bond 5 yr bond 10 yr bond

    CF PV PV

    100 97.94319 97.94319

    100 94.99599 94.99599

    100 91.24814 91.24814

    100 86.80825 86.80825

    100 899.7856 81.79869

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    100 76.35015

    100 70.59615

    100 64.66788

    100 58.68965

    1100 580.5246

    1270.781 1303.623

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    question 1

    coupan rate 8%

    FV 1000

    YTM 9% 7% 8%

    PV ($961.10) ($1,041.00) ($1,000.00)

    question 5R1 5.988%

    R2 7.360%

    R3 8.024% 1.260568

    R4 8.608% 1.39138

    R5 8.514% 1.504648

    question 6 R1 R2 R3 R4 R5

    YC 5.988% 7.360% 8.024% 8.608% 8.514%

    TIME 1 2 3 4 5

    -983.6230202 80 80 80 80 1080

    PVt 75.48 69.4069 63.463474 57.49689 717.77576PV 983.623

    IRR 8.415%

    question 7CF Govt Sec. -987.5 80 1080

    YTM 8.708%

    nominal sprea 3.852%

    question 8 Z Spread YC TOTAL CF PV

    7.060% 5.988% 13.048% 80 70.76619

    7.060% 7.360% 14.420% 1080 824.9311

    PV 895.6973

    Z Spread 7.060%

    question 9

    Z Spread YC TOTAL CF PV

    9.764% 5.988% 15.752% 80 69.1

    9.764% 7.360% 17.124% 1080 787.3

    PV 856.4

    Z-SPREAD 9.764%OAS 7.060%

    Option cost 2.704%

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    extra expense on manager compensation 15000

    less expence rent 8000

    extra non-op expense 10000

    extra deprec 1000synergetic saving 50000

    Table A

    Acquirer buyer

    Sales 2500000 2500000 2500000

    COGS 2000000 2000000 2000000

    SGA 125000 58000 115000

    GM 375000 442000 385000

    Depreciation 45000 44000 44000

    EBIT 330000 398000 341000

    TAX@30% 99000 119400 99000

    EBIT(1-T) 231000 278600 242000

    TABLE C equity cost post tax de WACC Acqui WACC buyer

    Rf 5% 5%

    ERP 6%

    Beta 1.1 6.60%

    Beta adj factor (size 1.15 0.99%

    Non-Mkt. Firm RP 2% 2%

    Non-Mkt. Ind. RP 1% 1%Pretax Cost Debt 7%

    Tax rate 30%

    Optimal D/V 40%

    Current D/V 30%

    Earning Growth 5%

    15.59% 4.90% 11.31% 12.38%

    Residual Income

    Acquirer Buyer

    EBIT(1-T) 278600 242000Kf 11.31% 12.38%

    At-1 1625000 1625000

    RI 94747.5 40776.25

    growth 5% 5%

    TV 1575623.614 579914.1609

    BVo 1625000 1625000

    Value of firm 3200623.61 2204914.16

    mailto:TAX@30%25mailto:TAX@30%25
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    share price per share 32.079 27.534