Πραγματικά Δικαιώματα προαίρεσης
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- 1. : 003 20051. , , . , , , . , , , , , , . , . , , , .2. 2.1 , . ( ), , ( ), . , . , , , . . , . (CallOptions), , 1
2. (Put Options), . , . , , , . , . , . . ; ; , (Premium) , . , , . :2 3. , , : , , , , .2.2 , . ( o V ) , ( s V ), ( E ), . : V0 = max(Vs - E,0) . (Premium) , . , , . , , , , . , , . , ., , , , . ( ) . 3 4. , . . 1 t 2 t , 3 t . , , . , . . , . , , , . , . , , ( ), . , . , , ( ), , . . , (, ). .4 5. ( ) ( ), . .3. , , . , , DFC(Discount Cash Flow) . , (NPV). ( ) NPV. , , .5 6. , , , . ( , ), ( , ). , , . . . , , . DCF , . , , , , , . . , , ( DCF ). . (growthoption) . . , . (abandon option), , . . (put option) . , 6 7. ( ) . (delay option) (call option). , , , . (first mover). , , . , , , . . . , . , , , . ( p V ), : Vp = NPV + w, w . , , , .3.1 , , . , ; , , . , , 7 8. . , ( , ). , (R&D), () . , (options) (exercise option), . , , , , . , , . , , , . : NPV = S - X . , , ( NPVq ) (s t ).8 9. ( NPVq ), ( NPV = S - X ), , t ( ( ) /(1 )tf PV x = X + r ). , . , . , . :NPVq = S / PV(x) . NPVq , NPV , NPVq , NPV . (s t ), . , (s 2t ). ( t ), , . , , , , ( =( )/ ). , , . , (s t ), , . , , . NPVq, (S, X, f r t) , (t). . , , . . , , . , , , . , . . , 9 10. , . ( NPV < 0 ), ( 1 - ), ( NPV > 0 ), ( 2 - ). , , . , ( NPV > 0 ) , . , . . ( 3 ). , ( 4 ). , , ( NPV > 0 ), , , ., ( NPV < 0) , . , , , . , , ( 5 ). , . ( 6 ). , , . , , . (), ( ) ( ) ( ) . , , , . , , , ,10 11. , .3. 3.1 , 2002 ADSL , 300 . , 2011, 2007, ADSL VDSL, 500 . (, , ) (, , , ), , , . 1: , . , , , . (2007), , . , ( ). , , . . 11 , , 36 . , , , 10%, . ADSL. VDSL , 1 ( ADSL) 2( VDSL). , 11 , , .11 12. 1: 0 1 2 3 4 5 6 7 8 9 -11.000.000 -15.000.000 1.500.000 1.750.000 2.000.000 2.300.000 2.600.000 6.750.000 7.600.000 8.400.000 9.150.000 (10%) 1,0000 0,9091 0,8264 0,7513 0,6830 0,6209 0,5645 0,5132 0,4665 0,4241 -11.000.000 -9.313.500 1.363.650 1.446.200 1.502.600 1.570.900 1.614.340 3.810.375 3.900.320 3.918.600 3.880.515 -20.313.500 23.007.500 2.694.00012 13. 2: , , . S, 5 , x , 2 . t ( ), f r 5% ( ). , 10%. , 2 , 40%, . 3: , S x. , , . , , 2, 1 , ADSL. . , . (bell-shaped curve), , , 2007. 3, 2 , VDSL., , , , ADSL. 2 , , . , ( 1), . , , . . . 5 (S=9.307.470) x, 2 (x=15.000.000).13 14. 1 2: ADSL 0 1 2 3 4 5 6 7 8 9 -11.000.000 1.500.000 1.750.000 2.000.000 2.300.000 2.600.000 2.850.000 3.100.000 3.300.000 3.450.000 1,0000 0,9091 0,8264 0,7513 0,6830 0,6209 0,5645 0,5132 0,4665 0,4241 -11.000.000 1.363.650 1.446.200 1.502.600 1.570.900 1.614.340 1.608.825 1.590.920 1.539.450 1.463.145 -11.000.000 13.700.030 2.700.030 2 3: VDSL 0 1 2 3 4 5 6 7 8 9 -15.000.000 3.900.000 4.500.000 5.100.000 5.700.000 0,6209 0,5645 0,5132 0,4665 0,4241 -9.313.500 2.201.550 2.309.400 2.379.150 2.417.370 -9.313.500 9.307.470 -6.030 1 2 1: 0 1 2 3 4 5 6 7 8 9 -11.000.000 -15.000.000 1.500.000 1.750.000 2.000.000 2.300.000 2.600.000 6.750.000 7.600.000 8.400.000 9.150.000 1,0000 0,9091 0,8264 0,7513 0,6830 0,6209 0,5645 0,5132 0,4665 0,4241 -11.000.000 -9.313.500 1.363.650 1.446.200 1.502.600 1.570.900 1.614.340 3.810.375 3.900.320 3.918.600 3.880.515 -20.313.500 23.007.500 2.694.00014 15. 4: , 2 . , 2.700.030, 1, 2. 2.694.000 . 2, . 10%, , , . , , , 2. 5%. , , , 4 5, . , , . -2.445.030 ( -6.030) 255.000 ( 2.694.000). 4 5 . 5: , , . 5 (S=9.307.470) x, 2 (x=15.000.000). ( t = 5 ), ( f r ) 5% 2 , 40%, . 6: ( NPVq ) (s t ). NPVq = S / PV(x) , ( ) /(1 )t9.307.470 0,79NPVq = = f PV x = X + r . : 515.000.000 /(1,05) s t = 0,40 5 = 0,89 .15 16. 2 4: VDSL 5% 0 1 2 3 4 5 6 7 8 9 -15.000.000 3.900.000 4.500.000 5.100.000 5.700.000 0,6209 0,5645 0,5132 0,4665 0,4241 -9.313.500 (5%) -11.752.500 2.201.550 2.309.400 2.379.150 2.417.370 9.307.470 -11.752.500 -2.445.030 1 2 5: 5% 0 1 2 3 4 5 6 7 8 9 -11.000.000 -15.000.000 1.500.000 1.750.000 2.000.000 2.300.000 2.600.000 6.750.000 7.600.000 8.400.000 9.150.000 1,0000 0,9091 0,8264 0,7513 0,6830 0,6209 0,5645 0,5132 0,4665 0,4241 -11.000.000 -9.313.500 (5%) -11.000.000 -11.752.500 1.363.650 1.446.200 1.502.600 1.570.900 1.614.340 3.810.375 3.900.320 3.918.600 3.880.515 23.007.500 -22.752.500 255.00016 17. 7: , . NPVq = 0,79 s t = 0,89 . Black Scholes 27,7%. 0,277 9.307.470 , 2.578.169 . , 1 2 [NPV () = NPV (1) + (2)]. : 2.700.030 + 2.578.169 = 5.278.199 . 2.694.000 10%, 255.000 (5%). , , , . , , . .4. F. Black, and M. Scholes, (1973), The pricing of Options and Corporate Liabilities,Journal of Political Economy, 81 (May-June), pp. 637-659.Anivash K. Dixit and Robert S. Pindyck (1995), The Options approach to CapitalInvestments, Harvard Business Review, May-June, pp. 105-115.Luehrman, T. A. (1998), Investment Opportunities as Real Options: Getting Startedon the Numbers, Harvard Business Review, July-August, pp. 51-67Luehrman, T. A. (1998), Strategy as a Portfolio of Real Options, Harvard BusinessReview, September-October, pp. 89-9917