By Peggy Daume

ISBN-10: 3834806285

ISBN-13: 9783834806284

Daume P. Finanzmathematik um Unterricht, Aktien und Optionen (de)(Vieweg, 2008)(ISBN 3834806285)

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S ✐st ✉♥❛❜❤ä♥❣✐❣ ✈♦♥ ❞❡r ❲❛❤❧ ✈♦♥  ✉♥❞ & ✳ ❆❧❧❣❡♠❡✐♥ ❣❡❧t❡♥ ❢ür ❛✉s❣❡✇ä❤❧t❡ ■♥t❡r✈❛❧❧❡ ❢♦❧❣❡♥❞❡ ❲❛❤rs❝❤❡✐♥❧✐❝❤❦❡✐t❡♥  $ !  ❉✐❡ ■♥t❡r✈❛❧❧❡ 
& & ❤❡✐ÿ❡♥ & ✲■♥t❡r✈❛❧❧❡ ✉♥❞ ❣❡❜❡♥ ❡✐♥❡ ❣r♦❜❡ ■♥❢♦r♠❛t✐♦♥ ü❜❡r ❞✐❡ ❱❡rt❡✐❧✉♥❣ ❞❡r ❲❡rt❡ ❞❡r ❩✉❢❛❧❧s❣röÿ❡✳ ✶✳✶✵✳✷ ◆♦r♠❛❧✈❡rt❡✐❧t❡ ❆❦t✐❡♥❦✉rs❡ ■♥ ✈✐❡❧❡♥ ❋ä❧❧❡♥ ✐st ❞✐❡ ❱❡rt❡✐❧✉♥❣ ✈♦♥ ❆❦t✐❡♥r❡♥❞✐t❡♥✱ ✇✐❡ ❞✐❡ ❞❡r ✐♥ ❇❡✐s♣✐❡❧ ✶✳✽✳✹ ✉♥t❡rs✉❝❤t❡♥ ❆❞✐❞❛s✲❆❦t✐❡✱ ♥ä❤❡r✉♥❣s✇❡✐s❡ ❡✐♥❡ ◆♦r♠❛❧✈❡rt❡✐❧✉♥❣✳ ▲❡❣t ♠❛♥ ❞✐❡ ◆♦r♠❛❧✈❡rt❡✐❧✉♥❣ ❛❧s ▼♦❞❡❧❧ ❢ür ❞✐❡ ❱❡rt❡✐❧✉♥❣ ✈♦♥ ❆❦t✐❡♥r❡♥❞✐t❡♥ ③✉❣r✉♥❞❡✱ s✐♥❞ ❆✉ss❛❣❡♥ ü❜❡r ❲❛❤rs❝❤❡✐♥❧✐❝❤❦❡✐t❡♥ ❞❛rü❜❡r✱ ♦❜ ❡✐♥❡ ❜❡❧✐❡❜✐❣❡ ❘❡♥❞✐t❡ ✐♥ ❡✐♥ ❜❡✲ st✐♠♠t❡s ■♥t❡r✈❛❧❧ ❢ä❧❧t✱ ♠ö❣❧✐❝❤✳ ❇❡✐s♣✐❡❧ ✶✳✶✵✳✹ ✭▼♦❞❡❧❧✐❡r✉♥❣ ❡✐♥❡s ❆❦t✐❡♥❦✉rs❡s ♠✐tt❡❧s ◆♦r♠❛❧✈❡rt❡✐❧✉♥❣✮✳ ■♠ ❇❡✐s♣✐❡❧ ✶✳✽✳✹ ✇✉r❞❡♥ ❞✐❡ ❘❡♥❞✐t❡♥ ❞❡r ❆❞✐❞❛s✲❆❦t✐❡ ✐♠ ❩❡✐tr❛✉♠ ✈♦♥ ❏✉♥✐ ✵✼ ❜✐s ▼❛✐ ✵✽ ✉♥t❡rs✉❝❤t✳ ❯♥t❡r ❞❡r ❆♥♥❛❤♠❡✱ ❞❛ss ❞✐❡ ✇ö❝❤❡♥t❧✐❝❤❡ ❘❡♥❞✐t❡  ❡✐♥❡ ♥♦r✲ ♠❛❧✈❡rt❡✐❧t❡ ❩✉❢❛❧❧s❣röÿ❡ ✐st✱ ❜✐❧❞❡♥ ❞✐❡ ✐♠ ❇❡✐s♣✐❡❧ ✶✳✽✳✹ ❛♥❣❡❣❡❜❡♥❡♥ ❑❡♥♥❣röÿ❡♥ ❉r✐❢t  ✉♥❞ ❱♦❧❛t✐❧✐tät % ❙❝❤ät③✇❡rt❡ ❢ür ❞❡♥ ❊r✇❛rt✉♥❣s✇❡rt  ✉♥❞ ❞✐❡ ❙t❛♥❞❛r❞❛❜✲ & ✳ ❲✐r ♥❡❤♠❡♥ ❛❧s♦ ❛♥✱ ❞❛ss  ♥♦r♠❛❧✈❡rt❡✐❧t ♠✐t ❞❡♥ P❛r❛♠❡t❡r♥ ✵✱✵✵✹✾ ✇❡✐❝❤✉♥❣ ✷ ✉♥❞ ✵✱✵✷✹✻ ✐st✳ ❉✐❡ ❲❛❤rs❝❤❡✐♥❧✐❝❤❦❡✐t ❞❛❢ür✱ ❞❛ss ❡✐♥❡ ❜❡❧✐❡❜✐❣❡ ❲♦❝❤❡♥r❡♥❞✐t❡ ③✇✐s❝❤❡♥ ✲✵✱✵✵✶✼ ✉♥❞ ✵✱✵✶✵✻ ❧✐❡❣t✱ ❜❡trä❣t     $ $$ $ $$ $ $$ $ $$ 
$ $$  $ $$     $ $" $ $"  $  ❉❡r ❱❡r❣❧❡✐❝❤ ❞✐❡s❡r ❲❛❤rs❝❤❡✐♥❧✐❝❤❦❡✐t ♠✐t ❞❡r t❛tsä❝❤❧✐❝❤ ❛✉❢❣❡tr❡t❡♥❡♥ r❡❧❛t✐✈❡♥ ❍ä✉✜❣❦❡✐t ✈♦♥ ✵✱✷✵ ③❡✐❣t ❡✐♥❡ ❛♥♥ä❤❡r♥❞❡ Ü❜❡r❡✐♥st✐♠♠✉♥❣✳ ❉✐❡s❡ ❆✉ss❛❣❡ tr✐✛t ❛✉❝❤ ❢ür ❛♥❞❡r❡ ❘❡♥❞✐t❡❜❡r❡✐❝❤❡ ③✉✱ ✇✐❡ ❚❛❜❡❧❧❡ ✶✳✽ ③❡✐❣t✳ ❉✐❡ ■♥t❡r♣r❡t❛t✐♦♥ ❞❡s ❩✉s❛♠♠❡♥❤❛♥❣❡s ③✇✐s❝❤❡♥ ❞❡♥ ❜❡♦❜❛❝❤t❡t❡♥ ❑❡♥♥❣röÿ❡♥ ✉♥❞ ❞❡♥ ♠♦❞❡❧❧✐❡rt❡♥ P❛r❛♠❡t❡r♥ ❞❡r ◆♦r♠❛❧✈❡rt❡✐❧✉♥❣ ❜❡r✉❤t ❛✉❢ ❞❡♠ ●❡s❡t③ ❞❡r ❣r♦ÿ❡♥ ❩❛❤❧❡♥✿ ❉❛s ❛r✐t❤♠❡t✐s❝❤❡ ▼✐tt❡❧ ❛✉s ✈✐❡❧❡♥ ❇❡♦❜❛❝❤t✉♥❣❡♥ ❡✐♥❡r ❩✉❢❛❧❧s❣rö✲ ÿ❡ ❧✐❡❣t ♥❛❤❡ ❞❡♠ ❊r✇❛rt✉♥❣s✇❡rt ✉♥❞ ❞✐❡ ❙t❛♥❞❛r❞❛❜✇❡✐❝❤✉♥❣ ❞❡r ❜❡♦❜❛❝❤t❡t❡♥ ❲❡rt❡ ♥❛❤❡ & ✳ ❯♠❣❡❦❡❤rt s✐♥❞ ❛r✐t❤♠❡t✐s❝❤❡s ▼✐tt❡❧ ✉♥❞ ❡♠♣✐r✐s❝❤❡ ❙t❛♥❞❛r❞❛❜✲ ✇❡✐❝❤✉♥❣ ❛✉s ✈✐❡❧❡♥ ✉♥❛❜❤ä♥❣✐❣❡♥ ❇❡♦❜❛❝❤t✉♥❣❡♥ ❡✐♥❡r ❩✉❢❛❧❧s❣röÿ❡ ❙❝❤ät③✇❡rt❡ ❢ür ❞❡r❡♥ ❊r✇❛rt✉♥❣s✇❡rt ✉♥❞ ❱❛r✐❛♥③✳ ✶✳✶✶✳ ❲■❊◆❊❘✲P❘❖❩❊❙❙ ✸✶ ❘❡♥❞✐t❡❜❡r❡✐❝❤ ❘❡❧❛t✐✈❡ ❍ä✉✜❣❦❡✐t ❲❛❤rs❝❤❡✐♥❧✐❝❤❦❡✐t  ✮ ✭❣❡r✉♥❞❡t✮ 
    
  ❀   ✵✱✵✷ ✵✱✵✸ 
  ❀   ✵✱✵✽ ✵✱✵✻ 
  ❀    ✵✱✶✻ ✵✱✶✶ 
   ❀    ✵✱✶✹ ✵✱✶✼ 
   ❀    ✵✱✷✵ ✵✱✷✵ 
   ❀    ✵✱✶✻ ✵✱✶✽ ✵✱✶✷ ✵✱✶✷ 
  ❀   
  ❀   ✵✱✶✵ ✵✱✵✼ 
  ❀    ✵✱✵✹ ✵✱✵✸ ❚❛❜✳ ✶✳✽✿ ❲❛❤rs❝❤❡✐♥❧✐❝❤❦❡✐t❡♥ ✉♥❞ r❡❧❛t✐✈❡ ❍ä✉✜❣❦❡✐t❡♥ ❢ür ❘❡♥❞✐t❡❜❡r❡✐❝❤❡ ✉♥t❡r ❞❡r ❆♥♥❛❤♠❡ ❡✐♥❡r ◆♦r♠❛❧✈❡rt❡✐❧✉♥❣ ❞❡r ❘❡♥❞✐t❡♥ ✶✳✶✶ ❲✐❡♥❡r✲Pr♦③❡ss ■♠ ❏❛❤r❡ ✶✽✷✼ ❜❡♦❜❛❝❤t❡t❡ ❞❡r s❝❤♦tt✐s❝❤❡ ❇♦t❛♥✐❦❡r ❘♦❜❡rt ❇r♦✇♥ ✭✶✼✼✸✕✶✽✺✽✮ ✉♥t❡r ❡✐♥❡♠ ▼✐❦r♦s❦♦♣✱ ✇✐❡ s✐❝❤ ❇❧üt❡♥♣♦❧❧❡♥ ✐♥ ❡✐♥❡♠ ❲❛ss❡rtr♦♣❢❡♥ ✉♥r❡❣❡❧♠ä✲ ÿ✐❣ ❤✐♥✲ ✉♥❞ ❤❡r❜❡✇❡❣❡♥✳ ❉✐❡s❡ s♦ ❣❡♥❛♥♥t❡ ❇r♦✇♥s❝❤❡ ▼♦❧❡❦✉❧❛r❜❡✇❡❣✉♥❣ ❡✐♥❡s ❚❡✐❧❝❤❡♥s ✐st ❛✉❢ ❡✐♥❡ stä♥❞✐❣❡ ❑♦❧❧✐s✐♦♥ ③✇✐s❝❤❡♥ ❞❡♥ ❇❧üt❡♥♣♦❧❧❡♥ ✉♥❞ ❞❡♥ s✐❝❤ ❜❡✇❡❣❡♥❞❡♥ ❲❛ss❡r♠♦❧❡❦ü❧❡♥ ③✉rü❝❦③✉❢ü❤r❡♥✳ ◆❛❝❤❞❡♠ ✐♠ ❏❛❤r❡ ✶✾✵✺ ❆❧❜❡rt ❊✐♥✲ st❡✐♥ ✭✶✽✼✾✕✶✾✺✺✮ ❞✐❡s❡ ♣❤②s✐❦❛❧✐s❝❤❡ ❊r❦❧är✉♥❣ ❢ür ❞✐❡ ❇r♦✇♥s❝❤❡ ▼♦❧❡❦✉❧❛r❜❡✲ ✇❡❣✉♥❣ ❧✐❡❢❡rt❡✱ ❣❡❧❛♥❣ ❡s ❞❡♠ ❯❙✲❛♠❡r✐❦❛♥✐s❝❤❡♥ ▼❛t❤❡♠❛t✐❦❡r ◆♦r❜❡rt ❲✐❡♥❡r ✭✶✽✾✹✕✶✾✻✹✮ ✐♠ ❏❛❤r❡ ✶✾✷✸ ❞❛s P❤ä♥♦♠❡♥ ❛✉❝❤ ♠❛t❤❡♠❛t✐s❝❤ ❛❧s ❡✐♥❡♥ st♦❝❤❛s✲ t✐s❝❤❡♥ Pr♦③❡ss ③✉ ❜❡s❝❤r❡✐❜❡♥✳ ❉❛❜❡✐ ❧ässt s✐❝❤ ❞✐❡ ③❡✐t❧✐❝❤❡ ❊♥t✇✐❝❦❧✉♥❣ ❡♥t❧❛♥❣ ❥❡❞❡r ❑♦♦r❞✐♥❛t❡ ♠✐t ❞❡♥ ●❡s❡t③❡♥ ❡✐♥❡s ❲✐❡♥❡r✲Pr♦③❡ss❡s ❡r❦❧är❡♥✳ ❉❡r ❲✐❡♥❡r✲ Pr♦③❡ss s♣✐❡❧t ❞✐❡ ③❡♥tr❛❧❡ ❘♦❧❧❡ ✐♠ ❑❛❧❦ü❧ ③❡✐tst❡t✐❣❡r st♦❝❤❛st✐s❝❤❡r Pr♦③❡ss❡ ✉♥❞ ✇✐r❞ ✐♥ ③❛❤❧❧♦s❡♥ ●❡❜✐❡t❡♥ ❞❡r ◆❛t✉r✲ ✉♥❞ ❲✐rts❝❤❛❢ts✇✐ss❡♥s❝❤❛❢t❡♥ ❛❧s ●r✉♥❞❧❛❣❡ ③✉r ❙✐♠✉❧❛t✐♦♥ ③✉❢ä❧❧✐❣❡r ❇❡✇❡❣✉♥❣❡♥ ❤❡r❛♥❣❡③♦❣❡♥✳ ❉❡✜♥✐t✐♦♥ ✶✳✶✶✳✶ ✭❲✐❡♥❡r✲Pr♦③❡ss✮✳ ❉❡r ❲✐❡♥❡r✲Pr♦③❡ss   ✐st ❡✐♥❡ ❋❛✲  ♠✐❧✐❡ ✈♦♥ ❩✉❢❛❧❧s❣röÿ❡♥✱ ❞✐❡ ❞✉r❝❤ ❢♦❧❣❡♥❞❡ ❊✐❣❡♥s❝❤❛❢t❡♥ ❝❤❛r❛❦t❡r✐s✐❡rt s✐♥❞✿ ❊✶   $ ❊✷ ❊✸ ❋ür $ %  ' ✐st   ❡✐♥❡ ♥♦r♠❛❧✈❡rt❡✐❧t❡ ❩✉❢❛❧❧s❣röÿ❡ ♠✐t ❞❡♠ ❊r✇❛rt✉♥❣s✇❡rt ✵ ✉♥❞ ❞❡r ❱❛r✐❛♥③ ' %✳ ❋ür ❜❡❧✐❡❜✐❣❡ $ #  % '  ( s✐♥❞ ❞✐❡ ❩✉❢❛❧❧s❣röÿ❡♥ !

R ❡r❤❛❧t❡♥ ❢ür ! ✉♥❞  ✉♥t❡r ◆✉t③✉♥❣ ✈♦♥ ●❧❡✐❝❤✉♥❣ ✶✳✺ !   '  (  & ! '  &   (  & !   ◆❛❝❤ ❊✐❣❡♥s❝❤❛❢t ❊✷ ❞❡s ❲✐❡♥❡r✲Pr♦③❡ss❡s ✐st & !   ❡✐♥❡ ♥♦r♠❛❧✈❡rt❡✐❧t❡   ❩✉❢❛❧❧s❣röÿ❡ ♠✐t ❞❡♥ P❛r❛♠❡t❡r♥ $ ✉♥❞ &  (✳ ❉❛♠✐t ✐st ❞✐❡ ❘❡♥❞✐t❡  !

P■❚❊▲ ✶✳ ❆❑❚■❊◆ ❉✐❡ ❡rst❡ ❊✐❣❡♥s❝❤❛❢t s✐❝❤❡rt ✉♥s✱ ❞❛ss ❞❡r Pr♦③❡ss ✐♠ ❯rs♣r✉♥❣ ❞❡s ❑♦♦r❞✐♥❛t❡♥✲ s②st❡♠s ❜❡❣✐♥♥t✳ ❉✐❡ ③✇❡✐t❡ ❊✐❣❡♥s❝❤❛❢t ❜❡s❛❣t✱ ❞❛ss ❞✐❡ P♦s✐t✐♦♥sä♥❞❡r✉♥❣   ❞❡s ❚❡✐❧❝❤❡♥s s♦✇♦❤❧ ✐♥ *✲ ❛❧s ❛✉❝❤ ✐♥ + ✲❘✐❝❤t✉♥❣ ❡✐♥❡ ♥♦r♠❛❧✈❡rt❡✐❧t❡ ❩✉❢❛❧❧s❣röÿ❡ ♠✐t ❞❡♠ ❊r✇❛rt✉♥❣s✇❡rt $ ✉♥❞ ❞❡r ❱❛r✐❛♥③ ' % ✐st✳ ❉✐❡ ❱❛r✐❛♥③ ❞❡r ③✉❢ä❧❧✐❣❡♥ P♦s✐t✐♦♥sä♥❞❡r✉♥❣ ❤ä♥❣t ❞❛❜❡✐ ♥✉r ✈♦♥ ❞❡r ▲ä♥❣❡ ❞❡s ❩❡✐t✐♥t❡r✈❛❧❧s ' % ✉♥❞ ♥✐❝❤t ✈♦♥ ❞❡r P♦s✐t✐♦♥     ❞❡s ❚❡✐❧❝❤❡♥s ③✉r ❩❡✐t % ❛❜✳ ❉✐❡ ❇❡✇❡❣✉♥❣❡♥ ❞❡s ❚❡✐❧❝❤❡♥s ✐♥ *✲ ✉♥❞ + ✲❘✐❝❤t✉♥❣ s✐♥❞ ❞❛❜❡✐ ✉♥❛❜❤ä♥❣✐❣ ✈♦♥❡✐♥❛♥❞❡r✳ ❉✐❡ ❞r✐tt❡ ❊✐❣❡♥s❝❤❛❢t ✈❡r❞❡✉t❧✐❝❤t✱ ❞❛ss ❞✐❡ P♦s✐t✐♦♥sä♥❞❡r✉♥❣❡♥ ✐♥ s✐❝❤ ♥✐❝❤t ü❜❡r❧❛♣♣❡♥❞❡♥ ❩❡✐t✐♥t❡r✈❛❧✲ ❧❡♥ ✉♥❛❜❤ä♥❣✐❣ ✈♦♥❡✐♥❛♥❞❡r s✐♥❞✳ ❆✉❢ ❞✐❡ ❇r♦✇♥s❝❤❡ ❇❡✇❡❣✉♥❣ ❜❡③♦❣❡♥ ❜❡❞❡✉t❡t ❞✐❡s✱ ❞❛ss ❦❡✐♥❡ ❙❝❤❧üss❡ ü❜❡r ❞✐❡ ❘✐❝❤t✉♥❣ ✉♥❞ ●röÿ❡ ❞❡r P♦s✐t✐♦♥sä♥❞❡r✉♥❣❡♥ ❛✉s ❞❡♥ ✈♦r❛♥❣❡❣❛♥❣❡♥❡♥ ❚❡✐❧❝❤❡♥❜❡✇❡❣✉♥❣❡♥ ♠ö❣❧✐❝❤ s✐♥❞✳ ❱♦r❤❡r✐❣❡ P♦s✐t✐♦♥sä♥❞❡✲ r✉♥❣❡♥ ❜❡❡✐♥✢✉ss❡♥ ❢♦❧❣❡♥❞❡ P♦s✐t✐♦♥sä♥❞❡r✉♥❣❡♥ ♥✐❝❤t✳ ❉✐❡ P♦s✐t✐♦♥sä♥❞❡r✉♥❣❡♥   ✇❡r❞❡♥ ❛✉❝❤ ❩✉✇ä❝❤s❡ ❣❡♥❛♥♥t✳ ❉✐❡s❡ ❦ö♥♥❡♥ s♦✇♦❤❧ ♣♦s✐t✐✈❡ ❛❧s ❛✉❝❤ ♥❡❣❛t✐✈❡ ❲❡rt❡ ❛♥♥❡❤♠❡♥✳ ✶✳✶✷ ❇❧❛❝❦✲❙❝❤♦❧❡s✲▼♦❞❡❧❧ ❢ür ❆❦t✐❡♥❦✉rs♣r♦③❡ss❡ ❉❛s ❇❧❛❝❦✲❙❝❤♦❧❡s✲▼♦❞❡❧❧ ✐st ❡❜❡♥s♦ ✇✐❡ ❞❛s ❘❛♥❞♦♠✲❲❛❧❦✲▼♦❞❡❧❧ ✭❑❛♣✐t❡❧ ✶✳✾✮ ❡✐♥ ♠❛t❤❡♠❛t✐s❝❤❡s ▼♦❞❡❧❧ ③✉r ❇❡s❝❤r❡✐❜✉♥❣ ✈♦♥ ❆❦t✐❡♥❦✉rs♣r♦③❡ss❡♥✳ ❉❛s ❇❧❛❝❦✲ ❙❝❤♦❧❡s✲▼♦❞❡❧❧ ❜❛s✐❡rt ❛✉❢ ❞❡r ❆♥♥❛❤♠❡✱ ❞❛ss s✐❝❤ ❞❡r st♦❝❤❛st✐s❝❤❡ Pr♦③❡ss ❞❡r ❘❡♥❞✐t❡❡♥t✇✐❝❦❧✉♥❣ ❛✉s ❡✐♥❡♠ ❞❡t❡r♠✐♥✐st✐s❝❤❡♥ ③❡✐t❧✐❝❤ ❧✐♥❡❛r❡♥ ✉♥❞ ❡✐♥❡♠ ③✉❢ä❧✲ ❧✐❣❡♥ ❆♥t❡✐❧ ③✉s❛♠♠❡♥s❡t③t✳ ❉❡r ❞❡t❡r♠✐♥✐st✐s❝❤❡ ❆♥t❡✐❧ ❞❡s ❘❡♥❞✐t❡♣r♦③❡ss❡s ❧ässt s✐❝❤ ❛❧s ❡r✇❛rt❡t❡ ❘❡♥❞✐t❡ ✐♥t❡r♣r❡t✐❡r❡♥✳ ❆❦t✐❡♥❦✉rs❡ ❢♦❧❣❡♥ ❥❡❞♦❝❤ ❦❡✐♥❡♠ ❞❡t❡r♠✐✲ ♥✐st✐s❝❤❡♥ ▼✉st❡r✱ s♦♥❞❡r♥ ✈♦❧❧❢ü❤r❡♥ ❡✐♥❡ ③✉❢ä❧❧✐❣❡ ■rr❢❛❤rt ✭✈❣❧✳ ✶✳✾✮✳ ❉❡♠♥❛❝❤ ✉♥✲ t❡r❧✐❡❣❡♥ ❘❡♥❞✐t❡♥ ❡❜❡♥❢❛❧❧s ❡✐♥❡♠ st♦❝❤❛st✐s❝❤❡♥ Pr♦③❡ss✱ ❞❡r ❞✉r❝❤ ❞❡♥ ③✉❢ä❧❧✐❣❡♥ ❆♥t❡✐❧ ❜❡s❝❤r✐❡❜❡♥ ✇✐r❞✳ ❉❛❜❡✐ ✇✐r❞ ❛♥❣❡♥♦♠♠❡♥✱ ❞❛ss ❞❡r st♦❝❤❛st✐s❝❤❡ Pr♦③❡ss ❞❡r ❧♦❣❛r✐t❤♠✐s❝❤❡♥ ❘❡♥❞✐t❡♥ ❡✐♥❡♠ ❲✐❡♥❡r✲Pr♦③❡ss ❢♦❧❣t✳ ❉❡✜♥✐t✐♦♥ ✶✳✶✷✳✶ ✭❇❧❛❝❦✲❙❝❤♦❧❡s✲▼♦❞❡❧❧✮✳ ❋ür ❞❡♥ st♦❝❤❛st✐s❝❤❡♥ Pr♦③❡ss ❞❡r ❘❡♥❞✐t❡❡♥t✇✐❝❦❧✉♥❣ ✇✐r❞ ❛♥❣❡♥♦♠♠❡♥✱ ❞❛ss   '  & ✭✶✳✺✮ ✐st✳ ❉❛❜❡✐ s✐♥❞ ' $✱   ✉♥❞ &  $✳ ❉❛rü❜❡r ❤✐♥❛✉s s✐♥❞  ✉♥❞ & ❦♦♥st❛♥t✳ ▼✐t ❞❡♠ ❇❧❛❝❦✲❙❝❤♦❧❡s✲▼♦❞❡❧❧ ❦❛♥♥ ❞✐❡ ❱❡rt❡✐❧✉♥❣ ❞❡r ❘❡♥❞✐t❡  ❜❡st✐♠♠t ✇❡r✲ ❞❡♥✳ ◆❛❝❤ ❞❡r ③✇❡✐t❡♥ ❊✐❣❡♥s❝❤❛❢t ❞❡s ❲✐❡♥❡r✲Pr♦③❡ss❡s ✉♥❞ ✇❡❣❡♥   $ ✐st ❞✐❡ ❩✉❢❛❧❧s❣röÿ❡     ♥♦r♠❛❧✈❡rt❡✐❧t ♠✐t ❞❡♥ P❛r❛♠❡t❡r♥ $ ✉♥❞ '✳ ❉❛  ❧✐♥❡❛r ✈♦♥  ❛❜❤ä♥❣t✱ ❢♦❧❣t ✉♥t❡r ❆✉s♥✉t③✉♥❣ ❞❡r ❊✐❣❡♥s❝❤❛❢t❡♥ ❞❡s ❊r✇❛rt✉♥❣s✇❡rt❡s ❢ür ❞❡♥ ❊r✇❛rt✉♥❣s✇❡rt ✈♦♥  ✿    '  &   '  &    ' ✶✳✶✷✳ ❇▲❆❈❑✲❙❈❍❖▲❊❙✲▼❖❉❊▲▲ ❋Ü❘ ❆❑❚■❊◆❑❯❘❙P❘❖❩❊❙❙❊ ✸✸ ❆♥❛❧♦❣ ❧ässt s✐❝❤ ❞✐❡ ❱❛r✐❛♥③ ✈♦♥  ❜❡st✐♠♠❡♥✳ ❊s ❣✐❧t✿    '  &   &     &  ' ❉❛♠✐t ❢♦❧❣t✱ ❞❛ss ❞✐❡ ❘❡♥❞✐t❡ ♥♦r♠❛❧✈❡rt❡✐❧t ♠✐t ❞❡♥ P❛r❛♠❡t❡r♥ ' ✉♥❞ &  ' ✐st✳ ❉❛❜❡✐ s✐♥❞ ❞✐❡ ✐♥ ❑❛♣✐t❡❧ ✶✳✽ ❜❡st✐♠♠t❡♥ st❛t✐st✐s❝❤❡♥ ❑❡♥♥③❛❤❧❡♥  ✉♥❞ % ❙❝❤ät③✲ ✇❡rt❡ ❢ür ✉♥s❡r❡ ▼♦❞❡❧❧♣❛r❛♠❡t❡r  ✉♥❞ & ✐♠ ❇❧❛❝❦✲❙❝❤♦❧❡s✲▼♦❞❡❧❧✳ ❇❡✐ ❜❡❦❛♥♥t❡♠ ❆❦t✐❡♥❦✉rs  ③✉r ❩❡✐t '  $ ✉♥❞ ♠✐t ❞❡♥ ❲❛❤rs❝❤❡✐♥❧✐❝❤❦❡✐ts❛✉ss❛❣❡♥ ③✉  s✐♥❞ ü❜❡r ❞❡♥ ❩✉s❛♠♠❡♥❤❛♥❣     ❲❛❤rs❝❤❡✐♥❧✐❝❤❦❡✐ts❛✉ss❛❣❡♥ ü❜❡r ❞❡♥ ❑✉rs ③✉r ❩❡✐t '  $ ♠ö❣❧✐❝❤✿    ✳ ❇❡✐s♣✐❡❧ ✶✳✶✷✳✷ ✭▼♦❞❡❧❧✐❡r✉♥❣ ❡✐♥❡s ❆❦t✐❡♥❦✉rs❡s ♠✐tt❡❧s ❞❡s ❇❧❛❝❦✲❙❝❤♦❧❡s✲▼♦✲ ❞❡❧❧s✮✳ ❲✐r ❜❡tr❛❝❤t❡♥ ❡r♥❡✉t ❞✐❡ ❆❞✐❞❛s✲❆❦t✐❡ ❛✉s ❇❡✐s♣✐❡❧ ✶✳✽✳✹✳ ❉❡r ▼✐tt❡❧✇❡rt ❞❡r ✈❡r❣❛♥❣❡♥❡♥ ❧♦❣❛r✐t❤♠✐s❝❤❡♥ ❲♦❝❤❡♥r❡♥❞✐t❡♥ ❜❡tr✉❣ ✵✱✵✵✹✾✱ ❞✐❡ ❙t❛♥❞❛r❞❛❜✇❡✐✲ ❝❤✉♥❣ ✵✱✵✷✹✻✳ ❆♠ ✶✾✳✵✺✳✵✽ ❧❛❣ ❞❡r ❆❦t✐❡♥❦✉rs ❜❡✐ ✹✺✱✾✺✳ ❊s s♦❧❧ ❞✐❡ ❲❛❤rs❝❤❡✐♥✲ ❧✐❝❤❦❡✐t ❞❛❢ür ❜❡st✐♠♠t ✇❡r❞❡♥✱ ❞❛ss ❞❡r ❆❦t✐❡♥❦✉rs ❞r❡✐ ❲♦❝❤❡♥ s♣ät❡r ✹✼✱✵✵ ü❜❡r✲ st❡✐❣t✳ ●❡♠äÿ ✉♥s❡r❡r ▼♦❞❡❧❧❛♥♥❛❤♠❡ ❣✐❧t   !

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Finanzmathematik im Unterricht: Aktien und Optionen: Mathematische und didaktische Grundlagen mit Unterrichtsmaterialien by Peggy Daume


by David
4.3

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