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A European call option and put option on a stock both have a strike price of...
A European call option and put option on a stock both have a strike price of $25 and an expiration date in four months. Both sell for $4. The risk-free interest rate is 6% per annum, the current stock price is $23, and a $1 dividend is expected in one month. Identify the arbitrage opportunity open to a trader.
Solutions
jeff jeffy answered 2 months agoRelated Solutions
A European call option and put option on a stock both have a strike price of...
A European call option and put option on a stock both have a
strike price of $21 and an expiration date in 4 months. The call
sells for $2 and the put sells for $1.5. The risk-free rate is 10%
per annum for all maturities, and the current stock price is $20.
The next dividend is expected in 6 months with the value of $1 per
share.
(a) describe the meaning of “put-call parity”. [2
marks]
(b) Check whether the...
A European call option and put option on a stock both have a strike price of...
A European call option and put option on a stock both have a
strike price of $21 and an expiration date in 4 months. The call
sells for $2 and the put sells for $1.5. The risk-free rate is 10%
per annum for all maturities, and the current stock price is $20.
The next dividend is expected in 6 months with the value of $1 per
share.
(a) In your own words, describe the
meaning of “put-call parity”.
(b) Check...
Consider a European call option and a put option on a stock each with a strike...
Consider a European call option and a put option on a stock each
with a strike price of K = $22 and each expires in six months. The
price of call is C = $3 and the price of put is P = $4. The risk
free interest rate is 10% per annum and current stock price is S0 =
$20. Show how to create an arbitrage strategy and calculate the
arbitrage traders profit.
A European call and put both have a strike price of $20 and expire in 3...
A European call and put both have a strike price of $20 and
expire in 3 months. Both sell for $1.5. Assume the annual interest
rate is 12%, the current stock price is $19 and the dividend yield
is 5%. What opportunities are available to an arbitrageur? Show the
cash flows associated with your arbitrage strategy.
The price of a European call option on anon-dividend-paying stock with a strike price of...
The price of a European call option on a
non-dividend-paying stock with a strike price of 50 $ is 6 $. The
stock price is 51 $, the continuously compounded risk-free rate for
all maturities is 6% and the time to maturity is one year. What is
the price of a one-year European put option on the stock with a
strike price of 50 $?
The price of a European call option on a non-dividend-paying stock with a strike price of...
The price of a European call option on a non-dividend-paying
stock with a strike price of $50 is $6 and the stock price is $52.
The continuously compounded risk-free rate is 3% and the time to
maturity is six months. What is the price of a six-month European
put option on the stock with a strike price of $50?
Suppose that a 6-month European call A option on a stock with a strike price of...
Suppose that a 6-month European call A option on a stock with a
strike price of $75 costs $5 and is held until maturity, and
6-month European call B option on a stock with a strike price of
$80 costs $3 and is held until maturity. The underlying stock price
is $73 with a volatility of 15%. Risk-free interest rates (all
maturities) are 10% per annum with continuous compounding.
(a) Construct a butterfly spread with the two kinds of options....
Suppose that a 6-month European call A option on a stock with a strike price of...
Suppose that a 6-month European call A option on a stock with
a strike price of $75 costs $5 and is held until maturity, and
6-month European call B option on a stock with a strike price of
$80 costs $3 and is held until maturity. The underlying stock price
is $73 with a volatility of 15%. Risk-free interest rates (all
maturities) are 10% per annum with continuous compounding.
(a) Construct a butterfly spread with the two kinds of
options....
1.The price of a three-month European put option on a stock with a strike price of...
1.The price of a three-month European put option on a stock with
a strike price of $60 is $5. There is a $1.0067 dividend expected
in one month. The current stock price is $58 and the continuously
compounded risk-free rate (all maturities) is 8%. What is the price
of a three-month European call option on the same stock with a
strike price of $60?
Select one:
a. $5.19
b. $1.81
c. $2.79
d. $3.19
2.For the above question, if the...
A call option on a stock with a strike price of $60 costs $8. A put...
A call option on a stock with a strike price of $60 costs $8. A
put option on the same stock with the same strike price costs $6.
They both expire in 1 year.
(a) How can these two options be used to create a straddle?
(b) What is the initial investment?
(c) Construct a table that shows the payoffs and profits for the
straddle when the stock price in 3 months is $50, and $72,
respectively. The table should...
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