Answer:
53.19
Explanation:
$64 per share
Implied volatility = 40.0
risk-free rate of interest = 5.5%
number of shares shorted ( N ) = 100
strike price = 69
with maturity = 9 months
Calculate number of shares of stocks you have to be buy(sell) to create a delta-neutral hedge
we will apply the Black Scholes Formula
= N [ (ln(64/69) + (5.5%+(40%)^2 / 2) * (9/12)) / (40%* √(9/12)) ]
= N [ (ln(64/69) + (0.055+(0.40)^2 / 2) * (9/12)) / (0.40* √(9/12)) ]
= N * 0.5319
Number of shares to create a delta neutral hedge = 100 * 0.5319 = 53.19
The number of shares of stock that the person would have to buy in order to be able to create a delta-neutral hedge will be 53.19.
The following can be depicted from the question:
Therefore, the number of shares to create a delta-neutral hedge will be:
= N[(In64/69) + (5.5% + (40%)² / 2) × (9/12) / (40% × ✓0.75)]
= N[(In0.9275) + (0.055 + 0.40)² / 2) × 0.75 / (0.40 × ✓0.75)
= N × 0.5319
= 100 × 0.5319
= 53.19
Therefore, the number of shares of stock is 53.19.
Read related link on:
https://brainly.com/question/11546292
