AAPL current trades at around 100. You think the price at the end of the year wi
ID: 3670589 • Letter: A
Question
AAPL current trades at around 100. You think the price at the end of the year will follow a uniform distribution centered at the current price, with a range of 40 points in either direction by the end of the year. Ie price follows uniform [60 140].
Q1. Price a BINARY PUT at strike = 80, 100, and 120.
Q2. Price a BINARY CALL at strike = 80, 100, and 120.
Q3. Price a regular PUT at strike = 80, 100, and 120.
Q4. Price a regular CALL at strike = 80, 100, and 120.
Q5. You want to compare your assumption about the range of the distribution against the market's assumption. You observed that the PUT at strike 100 is priced at $15. What is the range and MAD implied in the price of the PUT option?
Explanation / Answer
Ans 1: Price at Binary PUT at strike
a) 80 --> -0.63978
b) 100 --> -0.42074
c) 120 --> -0.25598
Ans 2: Price at Binary CALL at strike
a) 80 --> 0.63978
b) 100 --> 0.42074
c) 120 --> 0.25598
Ans 3: Price at regular PUT at strike
a) 80 --> 6.39120
b) 100 --> 15.85194
c) 120 --> 29.18811
Ans 4: Price at regular CALL at strike
a) 80 --> 26.39120
b) 100 --> 15.85194
c) 120 --> 9.18811