11. Black-Scholes. a) Write down the Black-Scholes put option
formula for a stock that has a continuous dividend yield. Be sure
to elaborate on d1 and d2. b) Derive an expression for option Delta
c) Derive Gamma
Black-Scholes.
a) Write down the Black-Scholes put option formula for a stock
that has a continuous dividend yield. Be sure to elaborate on d1
and d2.
b) Derive an expression for option Delta
c) Derive Gamma
What is the value of the following call option according to the
Black Scholes Option Pricing Model? What is the value of the put
options?
Stock Price = $55.00
Strike Price = $50.00
Time to Expiration = 3 Months = 0.25 years.
Risk-Free Rate = 3.0%.
Stock Return Standard Deviation = 0.65.
SHOW ALL WORK IN EXCEL
What is the value of the following call option according to the
Black Scholes Option Pricing Model? What is the value of the put
options?
Stock Price = $37.63
Strike Price = $35.00
Time to Expiration = 3 Months = 0.25 years.
Risk-Free Rate = 4.0%.
Stock Return Standard Deviation = 0.65
What is the value of the following call option according to the
Black Scholes Option Pricing Model? What is the value of the put
options? Stock Price = $37.63 Strike Price = $35.00 Time to
Expiration = 3 Months = 0.25 years. Risk-Free Rate = 4.0%. Stock
Return Standard Deviation = 0.65.
show EQUATIONS IN EXCEL not just answers
Q3
Use the Black-Scholes Option Pricing model to value a call option
on the stock of Houston-based
Long-Range Videoing Equipment Inc. d.b.a. Outfield Sign Stealers
Inc.
Current stock price
$15
d1
0.24495
Option strike price
$15
d2
0
Option time to maturity
6
months
N(d1)
0.596752427
Stock return variance
0.12
N(d2)
0.5
risk-free rate
6%
Use the Black–Scholes formula to value the following
option: A call option written on
a stock selling for $60 per
share with a $60 exercise price. The stock's standard
deviation is 6% per month. The
option matures in three months. The risk-free
interest rate is 1% per
month.
What is the value of a put option written on the same stock at the
same
time,
with the same exercise price and expiration date.
Use the Black-Scholes option pricing model to price a one-year
at the money call option on a stock that is trading at $50 per
share, Rf is 5%, annual volatility is 25%. REMEMBER TO USE THE
NORMAL PROBABILITY DOCUMENT posted on moodle. You are not allowed
to use Excel, you can only use your financial calculator. Show all
your work, including intermediate steps. Simply writing the final
answer will not get credit, even if the answer is correct.
a) What...