Question

A European put option on Tata Steel stock at the
strike price of Rs.440 with expiry of three months, is Rs. 30 with
risk-free interest rate of 7% per annum and the current price of
stock is Rs. 435. Identify the arbitrage opportunities open to a
trader if the put price is Rs. 40 or 20.

Answer #1

A
European call option and put option on a stock both have a strike
price of $20 and an expiration date in three months. Both sell for
$2. The risk-free interest rate is 5% per annum, the current stock
price is $25, and a $1 dividend is expected in one month. Identify
the arbitrage opportunity open to a trader.

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.

A
European call option and put option on a stock both have a strike
price of $20 and an expiration date in three months. Both sell for
$3. The risk-free interest rate is 10 % per aunum, the current
stock price is $19 , and a $1 dividend is expected in one month.
identify the arbitrage oppotunity to a trader.

A European call option on a stock with a strike price of $50 and
expiring in six months is trading at $14. A European put option on
the stock with the same strike price and expiration as the call
option is trading at $2. The current stock price is $60 and a $1
dividend is expected in three months. Zero coupon risk-free bonds
with face value of $100 and maturing after 3 months and 6 months
are trading at $99...

A European call option on a stock with a strike price of $50 and
expiring in six months is trading at $14. A European put option on
the stock with the same strike price and expiration as the call
option is trading at $2. The current stock price is $60 and a $1
dividend is expected in three months. Zero coupon risk-free bonds
with face value of $100 and maturing after 3 months and 6 months
are trading at $99...

A European call option on a stock with a strike price of $75 and
expiring in six months is trading at $5. A European put option on
the stock with the same strike price and expiration as the call
option is trading at $15. The current stock price is $64 and a $2
dividend is expected in three months. Zero coupon risk‐free bonds
with face value of $100 and maturing after 3 months and 6 months
are trading at $99...

The strike price for a European call and put option is $56 and
the expiration date for the call and the put is in 9 months. Assume
the call sells for $6, while the put sells for $7. The price of the
stock underlying the call and the put is $55 and the risk free rate
is 3% per annum based on continuous compounding. Identify any
arbitrage opportunity and explain what the trader should do to
capitalize on that opportunity....

A European put option is currently worth $3 and has a strike
price of $17. In four months, the put option will expire. The stock
price is $19 and the continuously compounding annual risk-free rate
of return is .09. What is a European call option with the same
exercise price and expiry worth? Also, given that the price of the
call option is $5, show how is there an opportunity for
arbitrage.

1. A European call option and put option on a stock both have a
strike price of $20 and an expiration date in three months. Both
sell for $3. The risk-free interest rate is 10% per annum, the
current stock price is $19, and a $1 dividend is expected in one
month. Is there an arbitrage opportunity? If there is an arbitrage
opportunity, clearly state what condition must be satisfied to
eliminate the arbitrage opportunity. What is the strategy
followed...

The price of a European put that expires in six months and has a
strike price of $100 is $3.59. The underlying stock price is $102,
and a dividend of $1.50 is expected in four months. The term
structure is flat, with all risk-free interest rates being 8%
(cont. comp.).
What is the price of a European call option on the same stock
that expires in six months and has a strike price of $100?
Explain in detail the arbitrage...

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