In: Finance
-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?
| 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 | |||||||