Question

In: Finance

-European call and put options with 3 months of expiration exist with strike price $30 on...

-European call and put options with 3 months of expiration exist with strike price $30 on the same underlying stock. The call is priced at $3.5, the put is priced at $1.25, while the underlying is currently selling for $28.5.

a) What is the net profit for the buyer of the call if the stock price at expiration is $36?

b) What is the net profit for the seller of the call if the stock price at expiration is $38?

c) What is the net profit for the buyer of the put if the stock price at expiration is $24?

d) What is the net profit for the seller of the put if the stock price at expiration is $22?

e) What is the net profit if one buys both the call and the put, and at expiration the stock price is $39?

f) What is the net profit if one buys both the call and the put, and at expiration the stock price is $22.5?

Solutions

Expert Solution

European Call and Put option with 3 months expiration strike price $30
Call price $3.50
Put price $1.25
Underlying currently selling $28.50
a) What is the net profit for the buyer of the call if the stock price at expiration is $36?
Underlying stock price at expiration : $36
Current selling $28.50
At the time of expiration profit: ($36-$28.50)- Call price
$4.00
b) b) What is the net profit for the seller of the call if the stock price at expiration is $38?
Seller of the call when stock price at expiration is $38
Net profit ($28.50-$38)+ Call price
Loss -$9.50
Net profit -$6.00
c)c) What is the net profit for the buyer of the put if the stock price at expiration is $24?
Put stock price expiration $24
Buyer of Put option with strike price is            $30
Putprice $1.25
Net profit ($30-$24)-$1.25
$4.75
d) What is the net profit for the seller of the put if the stock price at expiration is $22?
Put stock price expiration $22
Buyer of Put option with strike price is            $30
Currently selling $28.50
Putprice $1.25
Net profit ($22-$30)+$1.25
Net profit -$6.75
e) What is the net profit if one buys both the call and the put, and at expiration the stock price is $39?
Call price $3.50
Put price $1.25
Call Buys Strike price $30 $39-$30-$3.50 $5.50
Put buys Strike price $30 $30-$39+$1.25 -$7.75
$5.50+($7.75)
Net profit -$2.25
) What is the net profit if one buys both the call and the put, and at expiration the stock price is $22.5?
Call price $3.50
Put price $1.25
Call Buys Strike price $30 $22.50-$30-$3.50 -$11.00
Put buys Strike price $30 $30-$22.50+$1.25 $8.75
-$11.00+($8.75)
Net profit -$2.25

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