
Explanation:
Correct answer: C ($23.20)
For an asset-or-nothing call, the payoff is the stock itself if the option finishes in the money. Under Black-Scholes, its value is:
Since the stock pays no dividend, , so:
You can also confirm this using the relationship:
so:
Ultimate access to all questions.
No comments yet.
Question-413.2. Assume an underlying non-dividend-paying stock has a current price of $40.00 with volatility of 25.0% per annum while the riskfree rate is 4.0% per annum. The price of a six-month, at-the-money (maturity = 0.5 years, strike = $40.00) call option on the stock is $3.20 where N(d1) = 0.580 and N(d2) = 0.510. Which is NEAREST to the price of a binary asset-or-nothing call option with the same strike price and maturity?
A
$3.20
B
$20.00
C
$23.20
D
$40.00