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University of Economics, Faculty of Informatics Dolnozemsk cesta 1, 852 35 Bratislava Slovak Republic Financial Mathematics in Derivative Securities and Risk Reduction – PowerPoint PPT presentation

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Title: Prezentace%20aplikace%20PowerPoint


1
University of Economics, Faculty of Informatics
Dolnozemská cesta 1, 852 35 Bratislava Slovak
Republic
Financial Mathematics in Derivative Securities
and Risk Reduction Investment Schedul
Ass. Prof. Ludovít Pinda, CSc. Department of
Mathematics, Tel.421 2 67295 813, 421 2
67295 711 Fax421 2 62412195 e-mail
pinda_at_dec.euba.sk
2
  • Sylabus of the lecture
  •  
  •         The investment schedul.
  •        Indifference curves.
  •         The optimal investment decision.
  •         The money market line.
  •         The including the indifference map into
    the concept.
  •  
  •  
  •  

3
The investment schedul
Tab. 1
4
Productivity curve
C1 1 265 950 350 200 0
Fig. 1 W0 1 000 C0
5
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6
Optimal investment decision
7
C1 d C1 0
C
 
I2 I1
I0
C0 W0 C0
Fig. 3
k opportunity cost of capital,
The money market line
8
Fig. 4
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10
The icluding the indifference map into the
concept
  1. The point of tangency with the indifference curve
    lie to the left of point C

C1?? C1?
L
I0
Fig. 5
11
  C - the point of tangency between the highst
attainable iso-PV line and the productivity
curve, W0 C - the accepted projects as the
segment of productive curve, C( I1 ) lies
below I2. For finding a higher rate of
satisfaction we lend the amount L at the
opportunity cost of capital k. This is indicated
by a movement along the iso-PV line to C at
which point the iso-PV line is tangent to
indifference curve I2. The return for the loan is
L( 1k ).
12
2. The point of tangency with the
indifference curve lie to the right of point C
C0? W0 C0??
Fig. 6 W0 C - the accepted projects as the
segment of productive curve, I0 the initial
investment for achieving C and borrow the amound
B in order to increase his current
consumption,
13
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14
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15
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