Question
In: Finance
Consider a two-period binomial model in which a stock currently trades at a price of K65....
Consider a two-period binomial model in which a stock currently trades at a price of K65. The stock price can go up 20 percent or down 17 percent each period. The risk-free rate is 5 percent.
(i) Calculate the price of a put option expiring in two periods with an exercise price of K60.
(ii) Calculate the price of a call option expiring in two periods with an exercise price of K70.
Solutions
jeff jeffy answered 1 year agoRelated Solutions
Consider a two-period binomial model in which a stock trades currently at $44. The stock price...
Consider a two-period binomial model in which a stock trades
currently at $44. The stock price can go up 6% or down 6% each
period. The risk free rate is 2% per period.
A) Calculate the price of a call option expiring in two periods
with an exercise price of $45.
B) Calculate the price of a put option expiring in two periods
with an exercise price of $45.
Consider a two-period binomial model in which a stock trades currently at $44. The stock price...
Consider a two-period binomial model in which a stock trades
currently at $44. The stock price can go up 6% or down 6% each
period. The risk free rate is 2% per period.
A) Calculate the price of a call option expiring in two periods
with an exercise price of $45.
B) Calculate the price of a put option expiring in two periods
with an exercise price of $45.
C) Based on your answer in A), calculate the number of...
Consider a two-period binomial model in which a share currently trades at a price of R160....
Consider a two-period binomial model in which a share currently
trades at a price of R160. The share price can go up or down by 10%
each period. The risk-free rate is 7 percent. Calculate the price
of the European call and American put options expiring in two
periods with an exercise price of R145 and R148 respectively.
Consider a two-period binomial model for the stock price with both periods of length one year....
Consider a two-period binomial model for the stock price with
both periods of length one year. Let the initial stock price be S0
= 100. Let the up and down factors be u = 1.25 and d = 0.75,
respectively and the interest rate be r = 0.05 per annum. If we are
allowed to choose between call and put option after one year,
depending on the up and down states (head and tail respectively),
which option do you choose...
Consider a two-period binomial setting. The current stock price is $48.6 in each period, the stock...
Consider a two-period binomial setting.
The current stock price is $48.6 in each period, the stock may
increase by 1.2 or decrease by 0.84. One plus the risk-free, rf is
1.02. The risk-free rate applies to each period within the
two-period setting.
What is the initial value of a call option with a strike price
of $49?
In Financial Derivatives Consider the two-period, Binomial Options Pricing Model. The current stock price S= $105...
In Financial Derivatives
Consider the two-period, Binomial Options Pricing Model. The
current stock price S= $105 and the risk-free rate r = 3% per
period (simple rate). Each period, the stock price can go either up
by 10 percent or down by 10 percent. A European call option (on a
non-dividend paying stock) with expiration at the end of two
periods (n=2), has a strike price K = $100. The risk-neutral
probability of an “up” move is q = (R-D)/(U-D),...
In Financial Derivatives Consider the two-period, Binomial Options Pricing Model. The current stock price S= $105...
In Financial Derivatives
Consider the two-period, Binomial Options Pricing Model. The
current stock price S= $105 and the risk-free rate r = 3% per
period (simple rate). Each period, the stock price can go either up
by 10 percent or down by 10 percent. A European call option (on a
non-dividend paying stock) with expiration at the end of two
periods (n=2), has a strike price K = $100. The risk-neutral
probability of an “up” move is q = (R-D)/(U-D),...
Consider a 2-period binomial model. the annual interest rate is 9%. the initial stock price is...
Consider a 2-period binomial model. the annual interest rate is
9%. the initial stock price is $50. In each period the stock price
either goes up by 15% or down by 10%.
a. Price a European call option on the stock with exercise price
$60
b. Price a European put option on the stock with exercise price
$60
For a three-period binomial model for modeling the price of a stock, you are given: The...
For a three-period binomial model for modeling the price of a
stock, you are given:
The current price of the stock is 125.
The length of each period is one year.
u = 1.2, where u is one plus the rate of
capital gain on the stock if the price goes up.
d = 0.8, where d is one plus the rate of
capital loss on the stock if the price goes down.
The continuously compounded risk-free interest rate is...
The current spot price for a stock is $100, using a binomial model, in every period...
The current spot price for a stock is $100, using a binomial
model, in every period it has been determined that the probability
for this stock to go up is 70%, in this case the stock will
increase in value a 12 %. If the stock goes down, the value will
decrease 13%. For a call option with strike price of
$186 and after 12 periods:
1)
Calculate the values of the factor "u" and "d".
2)
Show a diagram with...
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