P1.T3.411. Stock option trades

Nicole Seaman

Director of CFA & FRM Operations
Staff member
Subscriber
Concept: These on-line quiz questions are not specifically linked to AIMs, but are instead based on recent sample questions. The difficulty level is a notch, or two notches, easier than bionicturtle.com's typical AIM-by-AIM question such that the intended difficulty level is nearer to an actual exam question. As these represent "easier than our usual" practice questions, they are well-suited to online simulation.

Questions:

411.1. A non dividend-paying stock currently trades for $100.00. An at-the-money call option (strike = $100) on the stock trades for $17.00. An at-the-money put option (strike = $100) on the stock trades for $12.89. Both options have one year maturities. Which is nearest to the implied risk-free rate with continuous compounding?

a. 1.96%
b. 2.87%
c. 3.51%
d. 4.20%


411.2. A stock currently trades at $50.00. Consider the following four options on the stock:
  • An in-the-money (ITM) European call option (on the stock) with a strike price of $48.00 has a price of $6.00.
  • An out of-the-money (OTM) European call option with a strike price of $52.00 has a price of $4.00.
  • An out-of-the-money (OTM) European put option with a strike price of $48.00 has a price of $2.19
  • An in-the-money (ITM) European put option with a strike price of $52.00 has a price of $3.96
Please note that option profit equals the payoff minus the initial cost, such the profit is net cash flows without regard to the time value of money. If we consider only spread trades that use the above option(s), each of the following is true about such spread trades EXCEPT which is false?

a. A bull spread that employs the two call options has a maximum profit (profit = payoff minus cost) of $2.00 and maximum net loss of $2.00
b. A bull spread that employs the two put options has a maximum profit of $1.77 and maximum net loss of $2.23
c. A bear spread that employs the two put options has a maximum profit of $2.23 and a maximum net loss of $1.77
d. A bear spread that employs the two call options has a maximum profit of $1.77 and a maximum net loss of $2.23


411.3. A stock currently trades at $40.00. An at-the-money call option (strike = $40.00) is priced at $4.00 while an at-the-money put option is priced at $2.40. Asset net profit and net loss includes the initial premiums without regard to the time value of money. If you take a long straddle position that employs these options (aka, straddle purchase, bottom straddle) what is the final stock price range that will produce a net loss?

a. Between $27.67 and $52.33 will produce a net loss
b. Between $33.60 and $46.60 will produce a net loss
c. Between $38.25 and $41.75 will produce a net loss
d. No net loss is possible in the case of a straddle purchase

Answers here:
 
Top