Remedial Videos on Black Scholes
Some students in this course are likely not to have seen the Black-Scholes model in prior classes. Here are two videos that I made with Gianpiero Alicchio and Allegra Sappio of LUISS that introduce just the non-technical basics of these topics. So, if you read about these topics in the Coursepack and are having problems, start be having a look at these videos. Bear in mind that I am based in New York, while Gianpiero and Allegra are in Rome, so there are still a few minor glitches in the videos. Partly because of these glitches, I recommend that you see the notes below before or while you view the videos.
John Teall - The Black-Scholes Options Pricing Modelhttps://vimeo.com/351000132/6a9d6fa53a
This
video
introduces the important Black-Scholes Options Pricing Model to
the valuation of simple "plain vanilla" stock options, calls and
puts. |
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The
following
are notes that might be helpful to you when viewing the video. I
recommend pausing the video during the times listed in the far
left to pay attention to the notes towards the center and right: |
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Time |
S0
= 75 |
X
= 80 |
T
= .5 |
s2
= .16 |
rf
= .10 |
s
= .4 |
c0
= ? |
|
|
Underlying |
Exercise |
Expiration |
Underlying |
Riskless |
Underlying |
Call |
|
1:24-1:27 |
Price |
Price |
Date |
Return |
Return |
Standard |
Price |
|
|
|
|
|
Variance |
Rate |
Deviation |
|
|
2:16-22 |
The
Black-Scholes
Model is in the box on the right. We will fill in the values
from the left of the video into the box.
|
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2:22-33 |
Starting
with
the equation for d1, we fill in values, finding that
d1 = 0.09. Then, we fill in values for d2,
finding that d2 = -0.1928 (the equals sign before it
is missing). |
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2:43-2:53 |
Next,
we
get the N(d1) and N(d2) values from a z-table. Since
different z-tables handle areas to the left of the mean
differently, under the normal curve the value .5 might or might
not be added or subtracted from the value at the appropriate
intersection of row and column. But, each table will be
consistent from example to example. |
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2:58-3:06 |
Now,
insert
the N(d1) and N(d2) into the c0 equation
to complete the calculation. |
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3:19-3:47 |
Don't stop the video. Instead, look at the following equation: Also,
I
made
a mistake at time = 3:26, saying "minus" when I should have said
"plus." |
|
John Teall - Implied
Volatility
https://vimeo.com/351001396/65adcc8764
This
video
applies the Black-Scholes Option Pricing Model to the calculation of
underlying stock (or asset) variances based on option (or equity) market
prices.
The following are notes that might be helpful to you when viewing the video. I recommend pausing the video during the times listed in the left to pay attention to the notes towards the center and right:
2:49-3:17 |
|
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3:21-3:32 |
Just
compare
what is written above to what is on the screen. Notice that the
calculated call price c0 =
7.958 > 7.00 is too high. We will need to try again with a
lower standard deviation
estimate. |
The Big Short (2015) In
2006-2007 a group of investors bet against the US mortgage market. In
their research they discover how flawed and corrupt the market is.
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Updated 01/23/2021