????????????(Fixed-income security),?????????????????????(Interest),????????????????(Principal)?

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Title:

????????????(Fixed-income security),?????????????????????(Interest),????????????????(Principal)?

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Title: ????????????(Fixed-income security),?????????????????????(Interest),????????????????(Principal)?


1
???????
  • ???

2
????
  • ?????????
  • ?????????????
  • ????????????
  • ????????????
  • ??

3
??????
  • ????????????(Fixed-income security),??????????????
    ???????(Interest),????????????????(Principal)?
  • ?????????,?????????(??????)??????????

4
???????????
  • ????(Interest rate risks)
  • ??????????,?????????????????
  • ????(Default risks)
  • ???????????,?????????????

5
?????
  • ?????????????????????????(??????)????,????????????
    ???????
  • ??
  • P?????????
  • C????????????
  • m???????
  • y????????????
  • n?????????
  • F?????

(7-1)
6
?????(?)
  • ????????????,??????????

(7-2)
7
??7-1?
  • ???92?8?19?,?????????,????????,????????NTD100,000?
    ,????8.5,??????,?????????????7,??????????
  • ???

8
????(duration)
  • ?????????,??????????????
  • ???????(F.Macaulay)???
  • ci?????ti(?????)?????????

(7-3)
9
????(duration)
  • ??????????????,??????
  • ?????????????,?????????????????????????????,??????
    ????

(7-4)
10
???????(Modified duration)
  • ??
  • ??Dmod???????
  • ??????????????????????,??????????,????????????????
    ?????

(7-5)
(7-6)
11
??7-2?
  • ?????????????????2,?????NTD98,000?,??????????1(10
    0bp),????????????
  • ???
  • ??(7-6)?
  • ?P -Dmod P ?y
  • -2 (-0.01) NTD98,000
  • NTD1,960
  • ?????????1?,????????
  • NTD1,960?

12
?????
  • ?????????????????????????????

13
???????
  • ???????????????????????????
  • ??????????????,??????????????
  • ????????????????????????,?????(Boothstrap)???????
    ???????

14
???????(?)
  • ?7-1 ????????
  • ???7-1???????????,????????????????

???? ???(?) ????() ????()
100 0.25 0 97.5
100 0.50 0 94.9
100 1.00 0 90.0
100 2.50 8 96.0
100 2.00 12 101.6
15
???????(?)
  • ???
  • ??(7-2)?????????????????????????

16
???????(?)
  • ??????????????????,?????????????????,?????????????
    ?
  • ??,????????????????????????,???????????????,??????
    ???????

17
???????(?)
  • ??????????,????????????????

18
???????????????
  • ?????(Treasury Bills,T-Bills)
  • ????????(Eurodollar Deposits)
  • ?????????

19
?????(Treasury Bills,T-Bills)
  • ???????????????????
  • ??13????26????52??????????
  • ??????????(Discount Rate)?????,??????????????
  • ????

(7-7)
(7-8)
F??????P?????? t???????
20
??7-3?
  • ??????????,??????4,??????1,000,000,???30???,?????
    ???????????
  • ???
  • ??(7-8)?,?????????????????

21
????????(Eurodollar Deposits)
  • ?????????????????????????
  • ????????????????????,?????????????,?????????????
  • ???????????
  • ?? ???? 90/360

(7-9)
22
??7-4?
  • ?????????????,??????97,??????????1,000,000?,??????
    ????,?????????
  • ???
  • ??(7-9)?,?????????????????
  • ???????????
  • ??1,000,000 3 90/360
  • ??7,500

23
?????????
  • ??
  • ????????????????????
  • ?????????????????????????
  • ??????????????????????????,??????????????????(Invo
    ice Price)?
  • ??????????????
  • ???? ????

(7-10)
24
??7-5?
  • ????7?10?,????2015?5??????????,??????10.5,???????
    ?5?15??11?15???,???????99-25,???????????,??????10
    0,????????????
  • ???
  • ????????????????99-25,????100??????99.7813?

25
??7-5?(?)
  • ???? (56/184) 100 10.5 1/2
  • 1.5983
  • ???? 99.7813 1.5983
  • 101.3796
  • ??????????,???????100,?????????101.3796?

26
?????????
  • ???????(T-Bill Futures)
  • ????????(Euro-Dollar Futures)
  • ????????????(T-Bond Futures)
  • ??????????????????

27
???????(T-Bill Futures)
  • ?????100?????????13????????
  • ??????CME?IMM??(International Monetary Market
    Index)?
  • IMM 100.00 DR
  • DR????????
  • ????????????????
  • ??1,000,000 (1 - DR/4)

(7-11)
(7-12)
28
?7-2 ???????????
???? ???????
????? CME
??? 13???????
???? USD1,000,000
???? IMM????
????? 0.005
???? 3?6?9?12?(??)??????????(???)
????? ?????????????13?????????(??????1200pm)
???? ?????????????13?????????????????
29
??7-6?
  • ????7?10?,????9????????????,????IMM???96,????????9
    ???????????,????????????????
  • ???
  • ??????IMM???96,??????4???(7-12)?,???????????
  • ?????? ??1,000,000 (1-4/4)
  • ??990,000

30
????????(Euro-Dollar Futures)
  • ?????????1981?12??CME?IMM??????,??????????(90?)???
    ???????????????????????????
  • ??????????????,???????????IMM????,???100?????????
    ????LIBOR?
  • ????6?????????????,??????94.25????????6?17?,?????
    ????????LIBOR?5.75,??????6?17???????,?????????

31
?7-3 ??????????
???? ??????
????? CME
??? ????????????
???? USD1,000,000
???? IMM????
????? ????0.0025????0.005
???? 3?6?9?12?(??)???????????(???)
????? ?????????????????????(?????1100am)
???? ????????????????????????????????????????(????1100am),??????
32
??7-7?
  • ????7?10?,????6?????????????,??????94.25,????????6
    ?????????????,????????????????
  • ???
  • ??????IMM???94.25,??????5.75?
  • ?????? ??1,000,000 (1-5.75/4)
  • ??985,625

33
????????????(T-Bond Futures)
  • ??????????????????????,???????????????????????????
    ?????,???????????????
  • ????????????????????????????????,??????????(Posit
    ion Day),?????8???????????????

34
????????????(T-Bond Futures) (?)
  • ?????(Wild Card Options)?????????2?????,?????????
    ??????????????,???????8???????????2???????????,???
    ???????????????(Wild Card Options)?
  • ?????(Quality Options)???????????????????????????
    ????(Quality Options)?

35
?7-4 ??????????????
???? 5????????? 10?????????
??? 5???????6???100,000?????????? 10???????6???100,000??????????
???? USD100,000 USD100,000
???? ???????32??? ???????32???
????? 0.5/32 0.5/32
???? 3?6?9?12? 3?6?9?12?
???? ???? ????
????? ???????????????????8???? ???????????????????8????
????? ??????????? ???????????
????? ??????????5?3??,?????????4?2??????? ????????6.5?,??????10????????
36
?7-4 ??????????????(?)
???? ??????
??? 30???????6???100,000??????????
???? USD100,000
???? ???????32???
????? 1/32
???? 3?6?9?12?
????? ???????????????????8????
????? ???????????
????? ????????15????????,????????????15??????
37
????????????(T-Bond Futures) (?)
  • ????(Conversion Factor)????????????????????????,?
    ????????????,??????????????????
  • ??CBOT????????,???????6??????,???????

38
??7-8?
  • ????????????????,??????10??????20??2??,??????????
    ??????
  • ???
  • CBOT??????????????????????,????3?????????????????
    ????20??2??,??20???,?40??

39
??7-9?
  • ????????????????,??????8??????18??4??,???????????
    ?????
  • ???
  • ????????18??4??,????????,?36??3???

40
??7-9?(?)
41
????????????(T-Bond Futures) (?)
  • ???????????????,?????????????
  • ??????????
  • ????????????? AI
  • AI?????????

(7-13)
42
??7-10?
  • ???2004?1?13?,??1??????????????????????10??????20
    ??2?????,????????????98-16,???????????????????????
    ?
  • ???
  • ????7-8????????????????????1.4623??????98-16,????
    10??98.5?
  • ???? 100,000 10 4/12 3,333.33
  • ?????????? 100,000 10 4/12

  • 3,333.33

  • 101,833.33

43
??????????????????
  • ???????(The Cheapest to Delivery Bonds)
  • ??????????????,???????????(?????????)??????,?????
    ??????????

44
??????????????????(?)
  • ?????????
  • ??????? - ???????
  • ?????????
  • ??????? - ?????????
  • ????

(7-14)
(7-15)
45
??7-11?
  • ??????????????????????
  • ?????????????????93-08(93.25),???????A?B?C????,??
    ????????????

T-Bond ???? ????
A 99.50 1.0382
B 143.50 1.5188
C 119.75 1.2615
46
??7-11?(?)
  • ???
  • ??(7-15)?,???????A?B?C?????????????
  • ??A??? 99.50 - (93.25 1.0382) 2.69
  • ??B??? 143.50 (93.25 1.5188) 1.87
  • ??C??? 119.75 (93.25 1.2615) 2.12
  • ??????,???????????B?

47
????????????
  • ??????????
  • ???????????
  • ?????????

48
??????????
  • ????????,?????????????????
  • ?????????,?D0,T 0?(7-16)?????
  • F(0,T)??(??0)??T????????????
  • S(0,T)??T????????????
  • (?S(0,T)?????????????T13?)
  • R0,T??(??0)???T???????
  • D0,T??(??0)???T????????

(7-16)
(7-17)
49
??7-12?
  • ?????2004?1?22?,???2004?3???T-Bill????????3?8?,???
    ?????????6?7????T-Bill??????T-Bill??????3,??1?22?
    ?3?8?(?45?)??????3.5,????3?????T-Bill?????100????
    ???????

50
??7-12?(?)
  • ???

51
???????????
  • ??????????????,???????????,???????????????????????
    ????
  • t??????
  • t1??????,??????????,???????
  • t2??????,??????????,?????????90
  • ??

(7-18)
52
???????????(?)
  • (7-18)??????????????,????(??t)?????Rt,t2?????,???
    ?t2-t????????????(??t)??????Rt,t1?????,????t1-t??
    ?????,???t1?????????Rt1,t2??,????t2-t1??????????,?
    ??????????

53
??7-13?
  • ?????2004???22?,???2004?3???????????????3?8?,?????
    ????6?7?,??????56??(??22??3?8????)????????????3,?
    146??(??22??6?7????)????????????3.5,????3????????
    ????????????

54
??7-13?(?)
  • ???

55
?????????
  • ????????,???????????(???????????)?????
  • ??
  • CF0????????????
  • I??????????????????
  • r??0?T???????
  • T????????

(7-19)
(7-20)
56
?????????(?)
  • ???????????(?????????
  • ???)
  • ???
  • ????????????(CF0)
  • ???????????? ?????
  • ????????
  • ???
  • ??(7-19)??(7-20)??????????????(F(0,T))?

57
?????????(?)
  • ???
  • ????????????
  • ??????????? ?????
  • ???????????
  • ???
  • ???????????
  • ???????????? ????
  • ????????

58
??7-14?
  • ?????T-Bond????,??????????????,?????12??????,????
    ???1.4?T-Bond,????????270????,?????????????
  • ????????????????120,???????????????????10,????T
    -Bond?????????????????????

59
??7-14?(?)
  • ???
  • ???
  • ???????????? 120
  • ???? 60 (60 122) 1.978
  • ????????????(CF0)
  • 120 1.978 121.978
  • ???
  • I 6 e-0.10.3342 5.803
  • ???????????(F(0,T))
  • (121.978 - 5.803) e0.10.7397 125.049

60
??7-14?(?)
  • ???
  • ??????????? 125.049
  • ???? 6 (148 (305 - 122)) 4.852
  • ????????????
  • 125.049 - 4.852 120.242
  • ???
  • ???????????
  • 120.242 1.4 85.887

61
??????????
  • ????
  • ????
  • ??(Strip)???(Stack)??

62
??7-15?-????
  • ?????2004???22?,?????3?19???????1,000??,???????,??
    ???????????LIBOR100bp,???????3??????????????97.72
    ,???????3?19??????????????????????,???????????????
    ????????????

63
??7-15?-????
  • ???????????????,????????????????1,000????????????
    ??
  • ????????3???????????(????????????????100???),????
    ?????????
  • ????????3?19????1000??????????3.28,????3????????
    ?????97.72??????2.28??100bp?

64
?7-6 ?????????????
A B C
3?19?????LIBOR 3.2 2.28 2
???????? 105,000 82,000 75,000
???????????? 23,000 0 (7,000)
????????? 82,000 82,000 82,000
???????? 3.28 3.28 3.28
???A??? ????????105,000 ( (3.21)
10,000,0004) ????????????23,000
(10(100(97.72-96.8)25)) ?????????82,000
(105,000-23,000) (???????3.28)
65
??7-16?-????
  • ?????2004???22?,????3?19?????1,000???????,????????
    ,?????????????LIBOR10bp,???????3??????????????97.
    72,???????3?19??????????????????????,?????????????
    ???????????????

66
??7-16?-????
  • ???????????????,????????????????1,000????????????
    ??
  • ????????3???????????,?????????????
  • ????????3?19????1000??????????2.38,????3????????
    ?????97.72??????2.28??10bp?

67
?7-7 ?????????????
A B C
3?19?????LIBOR 3.2 2.28 2
???????? 82,500 59,500 52,500
???????????? (23,000) 0 7,000
????????? 59,500 59,500 59,500
???????? 2.38 2.38 2.38
???A??? ????????82,500 ( (3.20.1)10,000,0
004) ???????????? -23,000 (10(100(97.72-96.8
)25)) ?????????59,500 (82,500-23,000) (?????
??2.38)
68
??(Strip)???(Stack)??
  • ????????????????,????????????,???????????????
  • ??????????????????????,???????????????,??????????
    ??,?????????????????????

69
??(Strip)???(Stack)?? (?)
???? ?? ??
???? ??????????? ???????????????,???????????????,????????
???? ????????????????????,?????????,???????? ????????????,????????
70
??7-17?-????
  • ?????2003?11?1?,????12?19????,???????1,000??,?????
    ????????LIBOR100bp,???????2003?12????2004?3????20
    04?6????2004?9???????????????97.5?97.32?97.20?97.0
    0????????????????????,???????????????????????,????
    ?????????

71
??7-17?-????
  • ???????????,????????????2003?12????2004?3????2004?
    6????2004?9????????????????

72
?7-8 ????????
???????????? ???????????? ???????????? ???????????? ???????????? ????????????
?? ??LIBOR 2003/12 2004/3 2004/6 2004/9
2003/11/01 2.30 ?10/97.50 ?10/97.32 ?10/97.20 ?10/97.00
2003/12/19 2.55 ?10/97.45
2004/3/13 2.90 ?10/97.10
2004/6/19 2.93 ?10/97.07
2004/9/18 3.08 ?10/96.92
????? ????? ????? ????? ????? ?????
?? ???? (1) ???? (2) ???? (3) ????? (4) (2) - (3) ????? (5)
2003/122004/3 3.55 88,750 1,250 87,500 3.50
2004/32004/6 3.90 97,500 5,500 92,000 3.68
2004/62004/9 3.93 98,250 3,250 95,000 3.80
2004/92004/12 4.08 99,500 2,000 97,500 3.90
??????? 3.865 3.720
73
?7-8 ????????(?)
  • ???????????,??LIBOR 1?
  • ?????????,??2003/122004/3??????10,000,000
    3.55 4 88,750?
  • ?????,??2003/122004/3??????10 100 (97.50 -
    97.45) 25 1,250?
  • ??????????????( (2) - (3) )
  • ?????????????,??2003/122004/3??????(87,500
    10,000,000) 4 3.5?

74
??7-18?-????
  • ??7-17,?????2003?11?1?,????12?19????,???????1,000?
    ?,?????????????LIBOR100bp,???????2003?12????2004?
    3????2004?6????2004?9???????????????97.50?97.32?97
    .20?97.00,???????????????????

75
??7-18?-????(?)
  • ??????????????????,???????????????????????,??????
    ???????

???? ??? ?????
2003/12 80,000 200,000
2004/3 35,000 130,000
2004/6 5,000 40,000
2004/9 1,500 17,000
76
??7-17?-????
  • ???????gt100,000?
  • ? ????????????
  • ???????????2003?12????2004?3????????????????????

77
?7-9 ????????
???????????? ???????????? ???????????? ???????????? ???????????? ????????????
?? ??LIBOR 2003/12 2004/3 2004/6 2004/9
2003/11/01 2.30 ?10/97.50 ?30/97.32
2003/12/19 2.55 ?10/97.45
2004/1/12 2.70 ?20/96.60 ?20/96.70
2004/2/22 2.81 ?10/96.45 ?10/96.95
2004/3/13 2.90 ?10/97.10
2004/6/19 2.93 ?10/97.07
2004/9/18 3.08 ?10/96.22
????? ????? ????? ????? ????? ?????
?? ???? (1) ???? (2) ???? (3) ?????(4) (2) - (3) ?????() (5)
2003/122004/3 3.55 88,750 1,250 87,500 3.50
2004/32004/6 3.90 97,500 23,500(a) 74,000 2.96
2004/62004/9 3.93 98,250 15,000(b) 83,250 3.33
2004/92004/12 4.08 99,500 750 98,750 3.95
??????? 3.865 3.435
78
?7-9 ????????(?)
  • ???????????,??LIBOR 1?
  • (2) ?????????,??2003/122004/3??????10,000,000
    3.55 4 88,750?
  • (3) ?????,??
  • 2004/32004/6(a)???????
  • 1?12???2004/3?????50(18,000)
  • 3?13???10?2004/3?????(5,500)?

79
?7-9 ????????(?)
  • 2004/62004/9(b)???????
  • 1?12???2004/3?????50(18,000)
  • 2?22???10?2004/6?????(6,250)
  • 6?19???10?2004/6?????(9,250)?
  • ??????????????( (2) - (3) )
  • ?????????????,??2003/122004/3??????(87,500
    10,000,000) 4 3.5?

80
???????
  • ???????????????????????????
  • ??
  • N??????
  • DP??????????????
  • DF?????????
  • P????????????
  • F?????????

(7-21)
81
??7-19?
  • ????2003?8?2?,???????????1,000??????????,?????????
    ?????6.80?,????????????????????,???????12????T-bon
    d??,???????????????,?12????T-Bond????????93-02,???
    ?????9.20?,???????????????12????T-bond??,?????????
    ???????

82
??7-19?(?)
  • ???

83
??
  • ??????????????,????????????,???????????,??????????
    ?????????????,???????????????????????????????,????
    ??????????????????????????,???????????????????????
    ????
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