! Keywords: Accounting / Banking / Bonds / Break Even Point / Downside Risk / Financial / Forecasting / Marketing / Portfolio / Taxes / Uncertainty;
MAX Z
SUBJECT TO
! Cash flow constraints, including the 50% tax usage;
2) 3000 F + 2000 M + 2000 D - B1 + L1 + 0.5 P1 = 2000
3) 1000 F + 500 M + 2000 D + 1.035 B1 - 1.03 L1 - B2 + L2
+ 0.5 P2 = 500
4) 1800 F - 1500 M + 1800 D + 1.035 B2 - 1.03 L2 - B3 + L3
+ 0.5 P3 = 400
5) - 400 F - 1500 M - 1000 D + 1.035 B3 - 1.03 L3 - B4 + L4
+ 0.5 P4 = 380
6) - 1800 F - 1500 M - 1000 D + 1.035 B4 - 1.03 L4 - B5 + L5
+ 0.5 P5 = 360
7) - 1800 F - 200 M - 1000 D + 1.035 B5 - 1.03 L5 - B6 + L6
+ 0.5 P6 = 340
8) Z - 5500 F + 1000 M - 6000 D + 1.035 B6 - 1.03 L6
+ 0.5 P7 = 300
! The borrowing limits;
9) B1 <= 2000
10) B2 <= 2000
11) B3 <= 2000
12) B4 <= 2000
13) B5 <= 2000
14) B6 <= 2000
! The investing limits;
15) F <= 1
16) M <= 1
17) D <= 1
! Taxable Profit-Loss for each period;
18) 100 F + 200 M + 150 D + P1 - C1 = 0
19) 300 F + 400 M + 200 D + 0.035 B1 - 0.03 L1 + P2 + 0.8 C1
- C2 = 100
20) 600 F + 200 M + 300 D + 0.035 B2 - 0.03 L2 + P3 + 0.8 C2
- C3 = 80
21) 100 F - 500 M + 200 D + 0.035 B3 - 0.03 L3 + P4 + 0.8 C3
- C4 = 76
22) - 500 F - 1000 M - 500 D + 0.035 B4 - 0.03 L4 + P5 + 0.8 C4
- C5 = 72
23)- 1000 F - 100 M - 800 D + 0.035 B5 - 0.03 L5 + P6 + 0.8 C5
- C6 = 68
24)- 4000 F + 1000 M - 5000 D + 0.035 B6 - 0.03 L6 + P7
+ 0.8 C6 - C7 = 60
END
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