FOUNDATIONS OF FINANCE-MYFINANCELAB
10th Edition
ISBN: 9780135160619
Author: KEOWN
Publisher: PEARSON
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Textbook Question
Chapter 3.A, Problem 1SP
(Computing
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Use the binomial method to determine the value of an American Put option
at time t = 0. The option expires at time t = T = 1/2 and has exercise price
E = 55. The current value of the underlying is S(0) = 50 with the underlying
paying continuous dividends at the rate D = 0.05. The interest rate is r = 0.3.
Use a time step of St = 1/6. Consider the case of p = 1/2 and suppose the
volatility is σ = 0.3. Perform all calculations using a minimum of 4 decimal
places of accuracy.
=
Consider a European chooser option with exercise price E₁ and expiry date
T₁ where the relevant put and call options, which depend on the value of the
same underlying asset S, have the same exercise price E2 and expiry date T₂.
Determine, in terms of other elementary options, the value of the chooser option
for the special case when T₁ = T2. Clearly define all notation that you use.
The continuous conditional probability density function pc(S, t; S', t') for a risk
neutral lognormal random walk is given by
Pc(S, t; S', t') =
1
σS'√2π(t' - t)
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(log(S/S) (ro²)(t − t)]
exp
202 (t't)
In the binomial method, the value of the underlying is Sm at time step môt
and the value of the underlying at time step (m + 1)St is Sm+1. For this case
evaluate
Ec[(Sm+1)k|Sm] = [°° (S')*pc(S™, mdt; S', (m + 1)8t)dS'
showing all steps, where k is a positive integer with k ≥ 1.
You may assume that
1
e
(x-n)2
2s2dx = 1
for all real numbers n and s with s > 0.
Chapter 3 Solutions
FOUNDATIONS OF FINANCE-MYFINANCELAB
Ch. 3.A - (Computing free cash flows) Given the following...Ch. 3.A - Prob. 2SPCh. 3.A - Prob. 3SPCh. 3.A - Prob. 4SPCh. 3 - A companys financial statements consist of the...Ch. 3 - How do gross profits, operating profits, and net...Ch. 3 - How do dividends and interest expense differ?Ch. 3 - Why is it that the preferred stockholders equity...Ch. 3 - Prob. 5RQCh. 3 - Prob. 6RQ
Ch. 3 - Prob. 7RQCh. 3 - Prob. 8RQCh. 3 - Prob. 9RQCh. 3 - Prob. 1SPCh. 3 - Prob. 2SPCh. 3 - (Preparing an income statement) Prepare an income...Ch. 3 - (Preparing a balance sheet) Prepare a balance...Ch. 3 - Prob. 5SPCh. 3 - Prob. 6SPCh. 3 - Prob. 7SPCh. 3 - (Working with income statement and balance sheet)...Ch. 3 - (Working with a statement of cash flows) Given the...Ch. 3 - Prob. 10SPCh. 3 - Prob. 11SPCh. 3 - Prob. 12SPCh. 3 - Prob. 13SPCh. 3 - Prob. 14SPCh. 3 - Prob. 15SPCh. 3 - Prob. 16SPCh. 3 - Prob. 1MCCh. 3 - Prob. 2MCCh. 3 - Prob. 3MC
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