NV4 1a Options are often used in combination with stocks to reduce risk or to produce other avenues of revenue. Buying protective puts guards against downside risk while allowing for upside potential. Writing covered calls allow investors to earn premium income on a stock they expect to remain stable in price. Wang Foo Ltd. has a current stock price of $80, does not pay dividends, and has an expected standard deviation of .30. Also, the risk-free rate is 10% per year, continuously compounded. What is the European call option price and European put option price, for 100-share contracts expiring in 9 months, at a strike price of $70, according to the Black-Scholes-Merton model?
NV4 1a Options are often used in combination with stocks to reduce risk or to produce other avenues of revenue. Buying protective puts guards against downside risk while allowing for upside potential. Writing covered calls allow investors to earn premium income on a stock they expect to remain stable in price. Wang Foo Ltd. has a current stock price of $80, does not pay dividends, and has an expected standard deviation of .30. Also, the risk-free rate is 10% per year, continuously compounded. What is the European call option price and European put option price, for 100-share contracts expiring in 9 months, at a strike price of $70, according to the Black-Scholes-Merton model?
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
Related questions
Question
INV4 1a
Options are often used in combination with stocks to reduce risk or to produce other avenues of revenue.
Buying protective puts guards against downside risk while allowing for upside potential.
Writing covered calls allow investors to earn premium income on a stock they expect to remain stable in price.
Wang Foo Ltd. has a current stock price of $80, does not pay dividends, and has an expected standard deviation of .30. Also, the risk-free rate is 10% per year, continuously compounded.
What is the European call option price and European put option price, for 100-share contracts expiring in 9 months, at a strike price of $70, according to the Black-Scholes-Merton model?
Hint: Use Spreadsheet 21.1 from file Bodie_9Ce_Ch21.xlsx.
Transcribed Image Text:C19
A
B
C.
D.
E
F
FORMULA FOR OUTPUT IN COLUMN E
(LN(B5/B6)+(B4-B7+.5*B2*2)*B3)(B2"SQRT(B3)
E2-82'SQRT(B3)
NORMSDIST(E2)
OUTPUTS
1 INPUTS
2 Standard deviation (annual)
3 Maturity (in years)
4 Risk-free rate (annual)
5 Stock Price
6 Exercise price
7 Dividend yield (annual)
8
0.2783
d1
0.0029
d2
0.06 N(d1)
N(d2)
105
0.5
-0.1939
0.5012
0.4231 NORMSDIST(E3)
7.0000
8.8968 B6*EXP(-84*B3)"(1-E5) - B5'EXP(-87*B3)"(1-E4)
100
B5*EXP(-87*B3)'E4 - B6*EXP(-84*B3)'E5
B/S call value
B/S put value
9.
10
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