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[debug] [youtube] Extracting URL: _8GUNJZwAQ0
[youtube] _8GUNJZwAQ0: Downloading webpage
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[youtube] Sleeping 2.0 seconds ...
[youtube] _8GUNJZwAQ0: Downloading android player API JSON
[youtube] [debug] Fetching webpage from https://www.youtube.com/youtubei/v1/player?key=AIzaSyAO_FJ2SlqU8Q4STEHLGCilw_Y9_11qcW8
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[youtube] _8GUNJZwAQ0: Downloading MPD manifest
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[debug] Default format spec: bestvideo*+bestaudio/best
[info] _8GUNJZwAQ0: Downloading 1 format(s): 137+251
[info] Video description is already present
WARNING: There are no annotations to write.
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[youtube] _8GUNJZwAQ0: Thumbnail is already present
[debug] locking youtube__8GUNJZwAQ0.lock
[download] NA - (Computations in Finance)/Computational Finance - Lecture 2_14 (Stock, Options and Stochastics) [_8GUNJZwAQ0].mkv has already been downloaded
[debug] unlocking youtube__8GUNJZwAQ0.lock
[debug] ffprobe command line: ffprobe -hide_banner -show_format -show_streams -print_format json 'file:NA - (Computations in Finance)/Computational Finance - Lecture 2_14 (Stock, Options and Stochastics) [_8GUNJZwAQ0].mkv'
[Metadata] Adding metadata to "NA - (Computations in Finance)/Computational Finance - Lecture 2_14 (Stock, Options and Stochastics) [_8GUNJZwAQ0].mkv"
[debug] ffmpeg command line: ffmpeg -y -loglevel repeat+info -i 'file:NA - (Computations in Finance)/Computational Finance - Lecture 2_14 (Stock, Options and Stochastics) [_8GUNJZwAQ0].mkv' -i 'file:NA - (Computations in Finance)/Computational Finance - Lecture 2_14 (Stock, Options and Stochastics) [_8GUNJZwAQ0].meta' -map 0 -dn -c copy -metadata 'title=Computational Finance: Lecture 2/14 (Stock, Options and Stochastics)' -metadata date=20210217 -metadata 'description=Computational Finance 
Lecture 2- Stock, Options and Stochastics
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
This course is based on the book:
"Mathematical Modeling and Computation in Finance: With Exercises and Python and MATLAB Computer Codes", by C.W. Oosterlee and L.A. Grzelak, World Scientific Publishing, 2019.
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
- Codes and the slides can be found at: https://github.com/LechGrzelak/Computational-Finance-Course
- See https://quantfinancebook.com/ for more details and for additional materials.
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
0:00 Introduction
3:21 Trading of Options and Hedging
20:13 Commodities
25:59 Currencies and Cryptos
38:22 Value of Call and Put Options and Hedging
1:00:57 Modeling of Asset Prices and Randomness
1:10:20 Stochastic Processes for Stock Prices
1:27:27 Ito’s Lemma for Solving SDEs
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
CONTENT OF THIS COURSE:
Lecture 1- Introduction and Overview of Asset Classes
***** Lecture 2- Stock, Options and Stochastics
Lecture 3- Option Pricing and Simulation in Python
Lecture 4- Implied Volatility
Lecture 5- Jump Processes
Lecture 6- Affine Jump Diffusion Processes
Lecture 7- Stochastic Volatility Models
Lecture 8- Fourier Transformation for Option Pricing
Lecture 9- Monte Carlo Simulation
Lecture 10- Monte Carlo Simulation of the Heston Model
Lecture 11- Hedging and Monte Carlo Greeks
Lecture 12- Forward Start Options and Model of Bates
Lecture 13- Exotic Derivatives
Lecture 14- Summary
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Corrections:
- Around 9:20- 9:40 correct statement is: call option price DECREASES for increasing strike.' -metadata 'synopsis=Computational Finance 
Lecture 2- Stock, Options and Stochastics
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
This course is based on the book:
"Mathematical Modeling and Computation in Finance: With Exercises and Python and MATLAB Computer Codes", by C.W. Oosterlee and L.A. Grzelak, World Scientific Publishing, 2019.
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
- Codes and the slides can be found at: https://github.com/LechGrzelak/Computational-Finance-Course
- See https://quantfinancebook.com/ for more details and for additional materials.
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
0:00 Introduction
3:21 Trading of Options and Hedging
20:13 Commodities
25:59 Currencies and Cryptos
38:22 Value of Call and Put Options and Hedging
1:00:57 Modeling of Asset Prices and Randomness
1:10:20 Stochastic Processes for Stock Prices
1:27:27 Ito’s Lemma for Solving SDEs
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
CONTENT OF THIS COURSE:
Lecture 1- Introduction and Overview of Asset Classes
***** Lecture 2- Stock, Options and Stochastics
Lecture 3- Option Pricing and Simulation in Python
Lecture 4- Implied Volatility
Lecture 5- Jump Processes
Lecture 6- Affine Jump Diffusion Processes
Lecture 7- Stochastic Volatility Models
Lecture 8- Fourier Transformation for Option Pricing
Lecture 9- Monte Carlo Simulation
Lecture 10- Monte Carlo Simulation of the Heston Model
Lecture 11- Hedging and Monte Carlo Greeks
Lecture 12- Forward Start Options and Model of Bates
Lecture 13- Exotic Derivatives
Lecture 14- Summary
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Corrections:
- Around 9:20- 9:40 correct statement is: call option price DECREASES for increasing strike.' -metadata 'purl=https://www.youtube.com/watch?v=_8GUNJZwAQ0' -metadata 'comment=https://www.youtube.com/watch?v=_8GUNJZwAQ0' -metadata 'artist=Computations in Finance' -map_metadata 1 -attach 'NA - (Computations in Finance)/Computational Finance - Lecture 2_14 (Stock, Options and Stochastics) [_8GUNJZwAQ0].info.json' -metadata:s:2 mimetype=application/json 'file:NA - (Computations in Finance)/Computational Finance - Lecture 2_14 (Stock, Options and Stochastics) [_8GUNJZwAQ0].temp.mkv'
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file:NA - (Computations in Finance)/Computational Finance - Lecture 2_14 (Stock, Options and Stochastics) [_8GUNJZwAQ0].meta: Cannot allocate memory
  File "/usr/lib/python3.8/runpy.py", line 194, in _run_module_as_main
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  File "/usr/lib/python3.8/runpy.py", line 87, in _run_code
    exec(code, run_globals)
  File "/home/lesmi/yt-dlp/__main__.py", line 24, in <module>
    yt_dlp.main()
  File "/home/lesmi/yt-dlp/yt_dlp/__init__.py", line 737, in main
    _real_main(argv)
  File "/home/lesmi/yt-dlp/yt_dlp/__init__.py", line 727, in _real_main
    retcode = ydl.download(all_urls)
  File "/home/lesmi/yt-dlp/yt_dlp/YoutubeDL.py", line 2822, in download
    res = self.extract_info(
  File "/home/lesmi/yt-dlp/yt_dlp/YoutubeDL.py", line 1186, in extract_info
    return self.__extract_info(url, ie, download, extra_info, process)
  File "/home/lesmi/yt-dlp/yt_dlp/YoutubeDL.py", line 1193, in wrapper
    return func(self, *args, **kwargs)
  File "/home/lesmi/yt-dlp/yt_dlp/YoutubeDL.py", line 1239, in __extract_info
    return self.process_ie_result(ie_result, download, extra_info)
  File "/home/lesmi/yt-dlp/yt_dlp/YoutubeDL.py", line 1280, in process_ie_result
    ie_result = self.process_video_result(ie_result, download=download)
  File "/home/lesmi/yt-dlp/yt_dlp/YoutubeDL.py", line 2262, in process_video_result
    self.process_info(new_info)
  File "/home/lesmi/yt-dlp/yt_dlp/YoutubeDL.py", line 2792, in process_info
    info_dict = self.post_process(dl_filename, info_dict, files_to_move)
  File "/home/lesmi/yt-dlp/yt_dlp/YoutubeDL.py", line 2932, in post_process
    info = self.run_pp(pp, info)
  File "/home/lesmi/yt-dlp/yt_dlp/YoutubeDL.py", line 2881, in run_pp
    files_to_delete, infodict = pp.run(infodict)
  File "/home/lesmi/yt-dlp/yt_dlp/postprocessor/common.py", line 83, in wrapper
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  File "/home/lesmi/yt-dlp/yt_dlp/postprocessor/ffmpeg.py", line 643, in run
    self.run_ffmpeg_multiple_files(
  File "/home/lesmi/yt-dlp/yt_dlp/postprocessor/ffmpeg.py", line 240, in run_ffmpeg_multiple_files
    return self.real_run_ffmpeg(
  File "/home/lesmi/yt-dlp/yt_dlp/postprocessor/ffmpeg.py", line 277, in real_run_ffmpeg
    self.report_error(stderr)
  File "/home/lesmi/yt-dlp/yt_dlp/postprocessor/common.py", line 56, in report_error
    return self._downloader.report_error(text, *args, **kwargs)
  File "/home/lesmi/yt-dlp/yt_dlp/YoutubeDL.py", line 833, in report_error
    self.trouble(error_message, tb)
  File "/home/lesmi/yt-dlp/yt_dlp/YoutubeDL.py", line 789, in trouble
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ERROR: Postprocessing: file:NA - (Computations in Finance)/Computational Finance - Lecture 2_14 (Stock, Options and Stochastics) [_8GUNJZwAQ0].meta: Cannot allocate memory
Traceback (most recent call last):
  File "/home/lesmi/yt-dlp/yt_dlp/YoutubeDL.py", line 2792, in process_info
    info_dict = self.post_process(dl_filename, info_dict, files_to_move)
  File "/home/lesmi/yt-dlp/yt_dlp/YoutubeDL.py", line 2932, in post_process
    info = self.run_pp(pp, info)
  File "/home/lesmi/yt-dlp/yt_dlp/YoutubeDL.py", line 2881, in run_pp
    files_to_delete, infodict = pp.run(infodict)
  File "/home/lesmi/yt-dlp/yt_dlp/postprocessor/common.py", line 83, in wrapper
    return func(self, info)
  File "/home/lesmi/yt-dlp/yt_dlp/postprocessor/ffmpeg.py", line 643, in run
    self.run_ffmpeg_multiple_files(
  File "/home/lesmi/yt-dlp/yt_dlp/postprocessor/ffmpeg.py", line 240, in run_ffmpeg_multiple_files
    return self.real_run_ffmpeg(
  File "/home/lesmi/yt-dlp/yt_dlp/postprocessor/ffmpeg.py", line 278, in real_run_ffmpeg
    raise FFmpegPostProcessorError(stderr.split('\n')[-1])
yt_dlp.postprocessor.ffmpeg.FFmpegPostProcessorError: file:NA - (Computations in Finance)/Computational Finance - Lecture 2_14 (Stock, Options and Stochastics) [_8GUNJZwAQ0].meta: Cannot allocate memory