60 40 20 time: 0 time: 1 time: 2 time: 3 time: 0 time: 1 time: 2 time: 3 Figure 1 The option claims and claim-values at time 2 60 25 20 15 10 time: 0 time: 1 time: 2 time: 3 Figure 2 The option claim tree

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
A4
60
60
40
(40
20
20
(10
time: 0
time: 1
time: 2
time: 3
time: 0
time: 1
time: 2
time: 3
Figure 1 The option claims and claim-values at time 2e
60
40
25
20
15
10
time: 0
time: 1
time: 2
time: 3
Figure 2 The option claim tree
b) Suppose the stock now goes up to 120-
c) Suppose the stock goes up again to 140-
d) Finally suppose the stock goes down to 120-
Transcribed Image Text:60 60 40 (40 20 20 (10 time: 0 time: 1 time: 2 time: 3 time: 0 time: 1 time: 2 time: 3 Figure 1 The option claims and claim-values at time 2e 60 40 25 20 15 10 time: 0 time: 1 time: 2 time: 3 Figure 2 The option claim tree b) Suppose the stock now goes up to 120- c) Suppose the stock goes up again to 140- d) Finally suppose the stock goes down to 120-
Q4. In a binomial tree model shown in figure 1 and 2 below, given that the price of the
option at time zero is 15. e
a) Trace through the hedge, using the formula that, at any current time, we should
hedge
fup – fdown
Sup
Sdown units of stock.e
Transcribed Image Text:Q4. In a binomial tree model shown in figure 1 and 2 below, given that the price of the option at time zero is 15. e a) Trace through the hedge, using the formula that, at any current time, we should hedge fup – fdown Sup Sdown units of stock.e
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