In: Finance
Use the option quote
information shown below to answer the questions that follow. The
stock is currently selling for $30.
Option and | Calls | Puts | |||||||||||||||
NY Close | Expiration | Strike Price | Vol. | Last | Vol. | Last | |||||||||||
Macrosoft | |||||||||||||||||
February | 31 | 88 | .53 | 43 | 1.53 | ||||||||||||
March | 31 | 64 | .77 | 25 | 1.94 | ||||||||||||
May | 31 | 25 | 1.05 | 14 | 2.36 | ||||||||||||
August | 31 | 6 | 1.26 | 6 | 2.40 | ||||||||||||
a. Suppose you buy 13 contracts of the February 31
call option. How much will you pay, ignoring commissions?
(Do not round intermediate
calculations.)
Cost $
Suppose you buy 13 contracts of the February 31 call option and
Macrosoft stock is selling for $33 per share on the expiration
date.
b-1. How much is your options investment worth?
(Do not round intermediate
calculations.)
Payoff
$
b-2. What if the terminal stock price is $32?
(Do not round intermediate
calculations.)
Payoff
$
Suppose you buy 13 contracts of the August 31 put option.
c-1. What is your maximum potential gain?
(Do not round intermediate
calculations.)
Maximum gain
$
c-2. On the expiration date, Macrosoft is selling
for $26 per share. How much is your options investment worth?
(Do not round intermediate
calculations.)
Position value
$
c-3. On the expiration date, Macrosoft is selling
for $26 per share. What is your net gain? (Do not
round intermediate calculations.)
Net gain
$
Suppose you sell 13 of the August 31 put contracts.
d-1. What is your net gain or loss if Macrosoft is
selling for $28 at expiration? (Input your answer
as a positive value. Do not round intermediate
calculations.)
(Click to select)GainLoss
$
d-2. What is your net gain or loss if Macrosoft is
selling for $34 at expiration? (Input your answer
as a positive value. Do not round intermediate
calculations.)
(Click to select)LossGain
$
d-3. What is the break-even price, that is, the
terminal stock price that results in zero profit?
(Do not round intermediate calculations and round
your answer to 2 decimal places, e.g.,
32.16.)
Break-even
$
a | The asked price of one call is $ 0.53 which controls 100 shares of Macrosoft stock | ||||||||
So for 13 contracts the total expensiture would be 13 contracts * 100 shares *0.53 | $689 | ||||||||
Cost | $689 | ||||||||
b-1 | Suppose you buy 13 contracts of the February 31 call option and Macrosoft stock is selling for $33 per share on the expiration date. | ||||||||
Investment worth | ? | ||||||||
If the stock price at expiration is $ 33, than payoff would be | |||||||||
13*100*(33-31) | 2600 | ||||||||
The investment return would be 2600-689 | $1,911 | ||||||||
b-2 | Terminal stock price is $ 32 | ||||||||
if the stock price at expiration is $ 32, than payoff would be | |||||||||
13*100*(32-31) | 1300 | ||||||||
The investment return would be (1300-689) | $611 | ||||||||
c-1 | Suppose you buy 13 contracts of the August 31 put option. | ||||||||
Maximum Gain | ? | ||||||||
The cost of put options would be | |||||||||
13*100*2.40 | 3120 | ||||||||
Maximum gain would occur on the put option of price of Macrosoft stock dropped to $ 0 | |||||||||
The options would than generate a payoff of | |||||||||
(13*100*31) | 40300 | ||||||||
Maximum gain would be 40300-3120 | $37,180 | ||||||||
If macrosoft is selling for $ 26 | |||||||||
c-2 | Payoff =13*100*(31-26) | $6,500 | |||||||
c-3 | Profit = 6500-3120 | $3,380 | |||||||
d-1 | Suppose you sell 13 of the August 31 put contracts. | ||||||||
What is your net gain or loss if Macrosoft is selling for $28 at expiration? | |||||||||
At a stock price of $ 28 the put is in the money which means that the put option can be exercised at a profit | |||||||||
Net Loss = $3120 - (13*100*(31-28)) | |||||||||
Put premium - loss on the put | 3120 | ||||||||
Net Loss = - $780 | 3900 | ||||||||
-780 | |||||||||
d-2 | What is your net gain or loss if Macrosoft is selling for $34 at expiration? | ||||||||
At a stock price of $ 34 the put is out of the money so the writer would pick up the entire put premium of $ 3120 | |||||||||
d-3 | 13*100(31-St) = $ 3120 | ||||||||
40300 - 3120 = 1300 St | |||||||||
St = $ 28.60 | |||||||||
Break even | $28.60 | ||||||||
For terminal stock prices above $ 28.60 makes a profit | |||||||||