Consider the following option trading strategies: a) The options with strike prices R80, R85, and R90 cost
Question:
Consider the following option trading strategies:
a) The options with strike prices R80, R85, and R90 cost R12, R15, and R19, respectively. Suppose a trader creates a butterfly spread from the options by trading a total of 400 options, determine the maximum net loss to the butterfly spread after considering the cost of the options.
b) The table consists of call and put premiums for 3-month European options with different strike prices for a non-dividend
paying stock with S0 = R40 and r = 0.08 p.a. continuously compounded
Strike Price | Call Option Premium | Put Option Premium |
R35 | R6.13 | R0.44 |
R40 | R2.78 | R1.99 |
R45 | R0.97 | R5.08 |
A trader is considering two strategies using the information on the options provided in the table. The first strategy is a strangle consisting of a R35-strike put and a R45-strike call. The second strategy is an R40-strike straddle.
a) Explain how the options can be used to create the first strategy.
b) Explain how the options can be used to create the second strategy.
c). Let S be the stock price in three months. Construct a table that shows the profit for the first strategy.
d) Let S be the stock price in three months. Construct a table that shows the profit for the second strategy.
e) Let S be the stock price in three months.
Determine the range of stock prices in 3 months for which the first strategy outperforms the second strategy.