Question

For a European call option and a European put option on the same stock, with the same strike price and time to maturity, which of the following is true?

A) When the call option is in-the-money and the put option is out-of-the-money, the stock price must be lower than the strike price.

B) The buyer of the call option receives the same premium as the writer of the put option.

C) Since both the call and the put are risky assets, the risk-free interest rate cannot affect the premiums of call or put.

D) If you have a portfolio of protected put, you can replicate that portfolio by long a call and hold certain amount of risk-free bond. E) Before expiration, only in-the-money options can have positive time premium.

Answer #1

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A. Since the stock price is lower than the strike price, the
call is out of money & Put is in the Money. - FALSE.

B. They are different premiums- FALSE.

C. Risk-free interest rate is taken into consideration while
calculating the premium of the options - like in black Scholes
option pricing model & Binomial model.- FALSE.

D. Long Protected Put = Short Call, Short Risk-free bond, Long
Stock. - FALSE.

E. At expiration, time is in favor of the in the money options- Do
theta (time premium) is positive. - TRUE.

Answer: E.

For a European call option and a European put option on the same
stock, with the same strike price and time to maturity, which of
the following is true?
A) Before expiration, only in-the-money options can have
positive time premium.
B) If you have a portfolio of protected put, you can replicate
that portfolio by long a call and hold certain amount of risk-free
bond.
C) Since both the call and the put are risky assets, the
risk-free interest rate...

Consider a European call option and a European put option on a
non dividend-paying stock. The price of the stock is $100 and the
strike price of both the call and the put is $104, set to expire in
1 year. Given that the price of the European call option is $9.47
and the risk-free rate is 5%, what is the price of the European put
option via put-call parity?

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 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 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...

1- A one-year European call option on Stanley Industries stock
with a strike price of $55 is currently trading for $75 per share.
The stock pays no dividends. A one-year European put option on the
stock with a strike price of $55 is currently trading for $100. If
the risk-free interest rate is 10 percent per year, then what is
the current price on one share of Stanley stock assuming no
arbitrage?
2- The current price of MB Industries stock...

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.
Use put-call parity to explain how would you construct a
European...

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