<div class="xblock xblock-public_view xblock-public_view-vertical" data-init="VerticalStudentView" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@vertical+block@7be421e9e9794c39a574b1bdaea907e0" data-runtime-class="LmsRuntime" data-block-type="vertical" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<h2 class="hd hd-2 unit-title">Returns</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.482x+1T2019+type@video+block@5df4a74aac134f3ba39a3db3c12c7a04">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-init="XBlockToXModuleShim" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@video+block@5df4a74aac134f3ba39a3db3c12c7a04" data-runtime-class="LmsRuntime" data-block-type="video" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Returns</h3>
<div
id="video_5df4a74aac134f3ba39a3db3c12c7a04"
class="video closed"
data-metadata='{"speed": null, "saveStateEnabled": false, "streams": "1.00:XtCBHUBV1Kw", "savedVideoPosition": 0.0, "ytTestTimeout": 1500, "generalSpeed": 1.0, "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/17242551236d496fba76de7dbbd12ca8.png?Expires=1714104040&AWSAccessKeyId=ASIA4QDFFSUR2AYPWADK&Signature=f%2FByzEnA%2F0y59PjmnoTXI2SJXjE%3D&x-amz-security-token=IQoJb3JpZ2luX2VjEGwaCXVzLWVhc3QtMSJHMEUCIEWS6qI67s1WPl2ppW0c9s%2BKeDtbTaSUoN62YbZPl8e7AiEArRG6MxoBjExSC3gXQnkniFzHSERycQXbaZRduIxftIQqwwUItP%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARADGgw4NTkyMDU2Mzc0MTEiDB2DBjAjOHUReOaCwiqXBUCAwHfZG54mdRpp8GRvDOAtAfayPOUwd4%2Bl3nC9YSHPxs2%2BJVwsmnpe4sMc5ykJCxtlU42SehBH0jjh9SJyEtjTgZqjH02lsurMggMM4J0544WLcvEF6DMPEu9pHcvRQAxpR8hUKyeCjEo7%2F%2Be9bPaAit3Selu1BmGF3H1XVbQnVBtca8yRUX1BcSUfI7A5ci%2FHJRVOlVwOT0qgkt2VLYKjRJy0TZp2Df1Mo%2FEQmove5PY9%2B684Ew%2FylYmNEZxFqZiz3Cw79FbVO%2FEvmiJG2Hd6WwP0p9Aiq0j59UkWmrHPzHArk8aQZ1lpgVzsllPbQ6xaS6KhHdbwuvfsYgmIdSg0PpooTSsTY7sI2429NEmNHGkUGkiXHD93CY2H5hAMc5JEVmXIi9YVJBtKL%2BYtgOnQg9r1PBiaIDAw%2FmIFXGXnJyilyqMvn8VwErxjpefViI2hPf29RrVyoGx5yAG5U8gE61Q%2FUhfoXFv9qq7NYox0uCUewlEa1q5rVxaNbwMbMCE7%2BUqjXJ3lDe0MbAYmP7qRDIP1StZumyU4iqQvHjkIy%2BQ2nfBapn%2BUMnGl67spo%2FbA9FbHtdSfCExJz3fjtyQNtyMs9Ts0Os%2FFzVbMAqbR3wQa4KybQlQAKp7wByioOp6Nqr46QEHcCW40o%2Fu5762RnReXQ3dzhqUgIultEWKA5f%2BvPlJztll3gl%2FpsBcWhJhA0frremzt8dq1%2BYgtHNUj9kyK9mcAnLwPCXWvN8m8xcvQE2XhUyvd1MnTR9yz3nyjndK%2B%2BhPU%2Bcyq42mfBsSJuDEzgKFyrkUguyw9qbQ1Tm%2FztsHBHg9j0lJLYXdaQj2ymmLVDrDHBlYw73QX4Jht%2FxlWLmef92ehJwsUNYxfw9iof5gR%2FDDAu6yxBjqxAQ8gjBc%2FNmKjHDoZZ%2FleGemGDaaQo8HgEPPs04Vk6W2ViklU%2FMe6lpEzGKbz9i5LRY5TKDV6udpg8NvttHc3Iyv%2FZD5bucuJXoK3fKpesKaEu3Q%2Fp9ucI43SkCr8p9MndIqH3BwuUjAajH8njgIljF1e3Dm3ahQwEenbDMM7b0hRf11sE18A2N1tqF6RhXlSOL%2F%2B%2F%2FAXgCrU1wxbg1wA%2F41xfT36hawffVY46LltW13x7Q%3D%3D", "publishCompletionUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@5df4a74aac134f3ba39a3db3c12c7a04/handler/publish_completion", "completionEnabled": false, "autoplay": false, "completionPercentage": 0.95, "captionDataDir": null, "duration": 406.08, "saveStateUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@5df4a74aac134f3ba39a3db3c12c7a04/handler/xmodule_handler/save_user_state", "ytApiUrl": "https://www.youtube.com/iframe_api", "start": 0.0, "transcriptLanguage": "en", "lmsRootURL": "https://openlearninglibrary.mit.edu", "prioritizeHls": false, "autoAdvance": false, "transcriptLanguages": {"en": "English"}, "autohideHtml5": false, "transcriptTranslationUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@5df4a74aac134f3ba39a3db3c12c7a04/handler/transcript/translation/__lang__", "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@5df4a74aac134f3ba39a3db3c12c7a04/handler/transcript/available_translations", "ytMetadataEndpoint": "", "recordedYoutubeIsAvailable": true, "sources": ["https://d2f1egay8yehza.cloudfront.net/MITx15.482x-V006000/MITx15.482x-V006000.m3u8", "https://d2f1egay8yehza.cloudfront.net/MITx15.482x-V006000_DTH.mp4"], "showCaptions": "true", "end": 0.0}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="5df4a74aac134f3ba39a3db3c12c7a04"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-init="VerticalStudentView" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@vertical+block@e0c8cdb5a64b4a6dad7b9a58605ff7a2" data-runtime-class="LmsRuntime" data-block-type="vertical" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<h2 class="hd hd-2 unit-title">Exercise: Returns</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.482x+1T2019+type@problem+block@e9300f06566e4e16aa40be0a60d44062">
<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-init="XBlockToXModuleShim" data-has-score="True" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@problem+block@e9300f06566e4e16aa40be0a60d44062" data-runtime-class="LmsRuntime" data-block-type="problem" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Problem"}
</script>
<div id="problem_e9300f06566e4e16aa40be0a60d44062" class="problems-wrapper" role="group"
aria-labelledby="e9300f06566e4e16aa40be0a60d44062-problem-title"
data-problem-id="block-v1:MITx+15.482x+1T2019+type@problem+block@e9300f06566e4e16aa40be0a60d44062" data-url="/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@problem+block@e9300f06566e4e16aa40be0a60d44062/handler/xmodule_handler"
data-problem-score="0"
data-problem-total-possible="2"
data-attempts-used="0"
data-content="
<h3 class="hd hd-3 problem-header" id="e9300f06566e4e16aa40be0a60d44062-problem-title" aria-describedby="block-v1:MITx+15.482x+1T2019+type@problem+block@e9300f06566e4e16aa40be0a60d44062-problem-progress" tabindex="-1">
Exercise: Returns
</h3>
<div class="problem-progress" id="block-v1:MITx+15.482x+1T2019+type@problem+block@e9300f06566e4e16aa40be0a60d44062-problem-progress"></div>
<div class="problem">
<div>
<span>
<p>
You have invested $10 million today \(I_0\) in a project that will yield the following returns over the next five years: </p>
<style>
table, th {
border-bottom: 1px solid;
border-top: 1px solid;
border-collapse: collapse;
}
table {
width: 100%;
}
</style>
<table>
<tr>
<th style="text-align:left">Year</th>
<th style="text-align:center">1</th>
<th style="text-align:center">2</th>
<th style="text-align:center">3</th>
<th style="text-align:center">4</th>
<th style="text-align:center">5</th>
</tr>
<tr>
<td style="text-align:left">
Returns</td>
<td style="text-align:center">
10% </td>
<td style="text-align:center">
20% </td>
<td style="text-align:center">
25% </td>
<td style="text-align:center">
17% </td>
<td style="text-align:center">
12% </td>
</tr>
</table>
<p>
What are the net return (\(R^{\text{net}}\)) and the annualized return (\(R^{\text{ann}}\)) for this project? (<i>Note</i>: Your answers should be numbers in percentage form. Do not enter '%'.)</p>
<p><p style="display:inline"/> [mathjaxinline]R^{\text{net}}=[/mathjaxinline] <div class="inline" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_e9300f06566e4e16aa40be0a60d44062_2_1" class=" capa_inputtype inline textline">
<div class="unanswered inline">
<input type="text" name="input_e9300f06566e4e16aa40be0a60d44062_2_1" id="input_e9300f06566e4e16aa40be0a60d44062_2_1" aria-describedby="status_e9300f06566e4e16aa40be0a60d44062_2_1" value=""/>
<span class="trailing_text" id="trailing_text_e9300f06566e4e16aa40be0a60d44062_2_1"/>
<span class="status unanswered" id="status_e9300f06566e4e16aa40be0a60d44062_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_e9300f06566e4e16aa40be0a60d44062_2_1" class="answer"/>
</div>
</div></div> <p style="display:inline">%</p></p>
<p><p style="display:inline"/> [mathjaxinline]R^{\text{ann}}=[/mathjaxinline] <div class="inline" tabindex="-1" aria-label="Question 2" role="group"><div id="inputtype_e9300f06566e4e16aa40be0a60d44062_3_1" class=" capa_inputtype inline textline">
<div class="unanswered inline">
<input type="text" name="input_e9300f06566e4e16aa40be0a60d44062_3_1" id="input_e9300f06566e4e16aa40be0a60d44062_3_1" aria-describedby="status_e9300f06566e4e16aa40be0a60d44062_3_1" value=""/>
<span class="trailing_text" id="trailing_text_e9300f06566e4e16aa40be0a60d44062_3_1"/>
<span class="status unanswered" id="status_e9300f06566e4e16aa40be0a60d44062_3_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_e9300f06566e4e16aa40be0a60d44062_3_1" class="answer"/>
</div>
</div></div> <p style="display:inline">%</p></p>
<p>
<div class="solution-span">
<span id="solution_e9300f06566e4e16aa40be0a60d44062_solution_1"/>
</div></p>
</span>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="Exercise: Returns" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_e9300f06566e4e16aa40be0a60d44062" >
<span class="submit-label">Submit</span>
</button>
<div class="submission-feedback" id="submission_feedback_e9300f06566e4e16aa40be0a60d44062">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
</div>
</div>
<div class="problem-action-buttons-wrapper">
</div>
</div>
<div class="notification warning notification-gentle-alert
is-hidden"
tabindex="-1">
<span class="icon fa fa-exclamation-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="e9300f06566e4e16aa40be0a60d44062-problem-title">
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification warning notification-save
is-hidden"
tabindex="-1">
<span class="icon fa fa-save" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="e9300f06566e4e16aa40be0a60d44062-problem-title">None
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification general notification-show-answer
is-hidden"
tabindex="-1">
<span class="icon fa fa-info-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="e9300f06566e4e16aa40be0a60d44062-problem-title">Answers are displayed within the problem
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
</div>
"
data-graded="False">
<p class="loading-spinner">
<i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i>
<span class="sr">Loading…</span>
</p>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-init="VerticalStudentView" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@vertical+block@ee0e5cb24eb14c0bb18d0f6e1f8e2a18" data-runtime-class="LmsRuntime" data-block-type="vertical" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<h2 class="hd hd-2 unit-title">Risk and Reward</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.482x+1T2019+type@video+block@1073287442474bedba7e535c3723a998">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-init="XBlockToXModuleShim" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@video+block@1073287442474bedba7e535c3723a998" data-runtime-class="LmsRuntime" data-block-type="video" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Risk and Reward</h3>
<div
id="video_1073287442474bedba7e535c3723a998"
class="video closed"
data-metadata='{"speed": null, "saveStateEnabled": false, "streams": "1.00:mVgC9FWvtwU", "savedVideoPosition": 0.0, "ytTestTimeout": 1500, "generalSpeed": 1.0, "poster": null, "publishCompletionUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@1073287442474bedba7e535c3723a998/handler/publish_completion", "completionEnabled": false, "autoplay": false, "completionPercentage": 0.95, "captionDataDir": null, "duration": 600.63, "saveStateUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@1073287442474bedba7e535c3723a998/handler/xmodule_handler/save_user_state", "ytApiUrl": "https://www.youtube.com/iframe_api", "start": 0.0, "transcriptLanguage": "en", "lmsRootURL": "https://openlearninglibrary.mit.edu", "prioritizeHls": false, "autoAdvance": false, "transcriptLanguages": {"en": "English"}, "autohideHtml5": false, "transcriptTranslationUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@1073287442474bedba7e535c3723a998/handler/transcript/translation/__lang__", "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@1073287442474bedba7e535c3723a998/handler/transcript/available_translations", "ytMetadataEndpoint": "", "recordedYoutubeIsAvailable": true, "sources": ["https://d2f1egay8yehza.cloudfront.net/MITx15.482x-V004800/MITx15.482x-V004800.m3u8", "https://d2f1egay8yehza.cloudfront.net/MITx15.482x-V004800_DTH.mp4"], "showCaptions": "true", "end": 0.0}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="1073287442474bedba7e535c3723a998"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
<h3 class="hd hd-4 downloads-heading sr" id="video-download-transcripts_1073287442474bedba7e535c3723a998">Downloads and transcripts</h3>
<div class="wrapper-downloads" role="region" aria-labelledby="video-download-transcripts_1073287442474bedba7e535c3723a998">
<div class="wrapper-download-transcripts">
<h4 class="hd hd-5">Transcripts</h4>
<ul class="list-download-transcripts">
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@1073287442474bedba7e535c3723a998/handler/transcript/download" data-value="srt">Download SubRip (.srt) file</a>
</li>
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@1073287442474bedba7e535c3723a998/handler/transcript/download" data-value="txt">Download Text (.txt) file</a>
</li>
</ul>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-init="VerticalStudentView" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@vertical+block@aca300a732be4c8897a312cb363a0a28" data-runtime-class="LmsRuntime" data-block-type="vertical" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<h2 class="hd hd-2 unit-title">Exercise: Sharpe Ratio</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.482x+1T2019+type@problem+block@5852f1bf0b13466297c193c3775ae5c4">
<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-init="XBlockToXModuleShim" data-has-score="True" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@problem+block@5852f1bf0b13466297c193c3775ae5c4" data-runtime-class="LmsRuntime" data-block-type="problem" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Problem"}
</script>
<div id="problem_5852f1bf0b13466297c193c3775ae5c4" class="problems-wrapper" role="group"
aria-labelledby="5852f1bf0b13466297c193c3775ae5c4-problem-title"
data-problem-id="block-v1:MITx+15.482x+1T2019+type@problem+block@5852f1bf0b13466297c193c3775ae5c4" data-url="/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@problem+block@5852f1bf0b13466297c193c3775ae5c4/handler/xmodule_handler"
data-problem-score="0"
data-problem-total-possible="1"
data-attempts-used="0"
data-content="
<h3 class="hd hd-3 problem-header" id="5852f1bf0b13466297c193c3775ae5c4-problem-title" aria-describedby="block-v1:MITx+15.482x+1T2019+type@problem+block@5852f1bf0b13466297c193c3775ae5c4-problem-progress" tabindex="-1">
Exercise: Sharpe Ratio
</h3>
<div class="problem-progress" id="block-v1:MITx+15.482x+1T2019+type@problem+block@5852f1bf0b13466297c193c3775ae5c4-problem-progress"></div>
<div class="problem">
<div>
<p>Based on the table below, what is the Sharpe Ratio (\(SR\)) for small stocks? </p>
<p>Note: use the average return on T-Bills as the risk-free rate.</p>
<center>
<img src="/assets/courseware/v1/286a385fc46d7c18f225e7125c305a70/asset-v1:MITx+15.482x+1T2019+type@asset+block/SharpeRatio.png" width="100%"/>
</center>
<p><p style="display:inline"/>\(SR = \) <div class="inline" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_5852f1bf0b13466297c193c3775ae5c4_2_1" class=" capa_inputtype inline textline">
<div class="unanswered inline">
<input type="text" name="input_5852f1bf0b13466297c193c3775ae5c4_2_1" id="input_5852f1bf0b13466297c193c3775ae5c4_2_1" aria-describedby="status_5852f1bf0b13466297c193c3775ae5c4_2_1" value=""/>
<span class="trailing_text" id="trailing_text_5852f1bf0b13466297c193c3775ae5c4_2_1"/>
<span class="status unanswered" id="status_5852f1bf0b13466297c193c3775ae5c4_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_5852f1bf0b13466297c193c3775ae5c4_2_1" class="answer"/>
</div>
</div></div></p>
<div class="solution-span">
<span id="solution_5852f1bf0b13466297c193c3775ae5c4_solution_1"/>
</div></div>
<div class="action">
<input type="hidden" name="problem_id" value="Exercise: Sharpe Ratio " />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_5852f1bf0b13466297c193c3775ae5c4" >
<span class="submit-label">Submit</span>
</button>
<div class="submission-feedback" id="submission_feedback_5852f1bf0b13466297c193c3775ae5c4">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
</div>
</div>
<div class="problem-action-buttons-wrapper">
</div>
</div>
<div class="notification warning notification-gentle-alert
is-hidden"
tabindex="-1">
<span class="icon fa fa-exclamation-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="5852f1bf0b13466297c193c3775ae5c4-problem-title">
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification warning notification-save
is-hidden"
tabindex="-1">
<span class="icon fa fa-save" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="5852f1bf0b13466297c193c3775ae5c4-problem-title">None
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification general notification-show-answer
is-hidden"
tabindex="-1">
<span class="icon fa fa-info-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="5852f1bf0b13466297c193c3775ae5c4-problem-title">Answers are displayed within the problem
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
</div>
"
data-graded="False">
<p class="loading-spinner">
<i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i>
<span class="sr">Loading…</span>
</p>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-init="VerticalStudentView" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@vertical+block@aea5ab36250f410ebb42f7acc06ab380" data-runtime-class="LmsRuntime" data-block-type="vertical" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<h2 class="hd hd-2 unit-title">What Does Risk Look Like?</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.482x+1T2019+type@video+block@8a1dde87e60d4d4bb35327c86dcad5ca">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-init="XBlockToXModuleShim" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@video+block@8a1dde87e60d4d4bb35327c86dcad5ca" data-runtime-class="LmsRuntime" data-block-type="video" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">What Does Risk Look Like?</h3>
<div
id="video_8a1dde87e60d4d4bb35327c86dcad5ca"
class="video closed"
data-metadata='{"speed": null, "saveStateEnabled": false, "streams": "1.00:Sb2q-zLnh4I", "savedVideoPosition": 0.0, "ytTestTimeout": 1500, "generalSpeed": 1.0, "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/6becff0f22f244baa6c50a6d5931a7fe.png?Expires=1714104040&AWSAccessKeyId=ASIA4QDFFSUR2AYPWADK&Signature=3k6Clj24B1fsO4pFq%2Ft0A8JyEnI%3D&x-amz-security-token=IQoJb3JpZ2luX2VjEGwaCXVzLWVhc3QtMSJHMEUCIEWS6qI67s1WPl2ppW0c9s%2BKeDtbTaSUoN62YbZPl8e7AiEArRG6MxoBjExSC3gXQnkniFzHSERycQXbaZRduIxftIQqwwUItP%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARADGgw4NTkyMDU2Mzc0MTEiDB2DBjAjOHUReOaCwiqXBUCAwHfZG54mdRpp8GRvDOAtAfayPOUwd4%2Bl3nC9YSHPxs2%2BJVwsmnpe4sMc5ykJCxtlU42SehBH0jjh9SJyEtjTgZqjH02lsurMggMM4J0544WLcvEF6DMPEu9pHcvRQAxpR8hUKyeCjEo7%2F%2Be9bPaAit3Selu1BmGF3H1XVbQnVBtca8yRUX1BcSUfI7A5ci%2FHJRVOlVwOT0qgkt2VLYKjRJy0TZp2Df1Mo%2FEQmove5PY9%2B684Ew%2FylYmNEZxFqZiz3Cw79FbVO%2FEvmiJG2Hd6WwP0p9Aiq0j59UkWmrHPzHArk8aQZ1lpgVzsllPbQ6xaS6KhHdbwuvfsYgmIdSg0PpooTSsTY7sI2429NEmNHGkUGkiXHD93CY2H5hAMc5JEVmXIi9YVJBtKL%2BYtgOnQg9r1PBiaIDAw%2FmIFXGXnJyilyqMvn8VwErxjpefViI2hPf29RrVyoGx5yAG5U8gE61Q%2FUhfoXFv9qq7NYox0uCUewlEa1q5rVxaNbwMbMCE7%2BUqjXJ3lDe0MbAYmP7qRDIP1StZumyU4iqQvHjkIy%2BQ2nfBapn%2BUMnGl67spo%2FbA9FbHtdSfCExJz3fjtyQNtyMs9Ts0Os%2FFzVbMAqbR3wQa4KybQlQAKp7wByioOp6Nqr46QEHcCW40o%2Fu5762RnReXQ3dzhqUgIultEWKA5f%2BvPlJztll3gl%2FpsBcWhJhA0frremzt8dq1%2BYgtHNUj9kyK9mcAnLwPCXWvN8m8xcvQE2XhUyvd1MnTR9yz3nyjndK%2B%2BhPU%2Bcyq42mfBsSJuDEzgKFyrkUguyw9qbQ1Tm%2FztsHBHg9j0lJLYXdaQj2ymmLVDrDHBlYw73QX4Jht%2FxlWLmef92ehJwsUNYxfw9iof5gR%2FDDAu6yxBjqxAQ8gjBc%2FNmKjHDoZZ%2FleGemGDaaQo8HgEPPs04Vk6W2ViklU%2FMe6lpEzGKbz9i5LRY5TKDV6udpg8NvttHc3Iyv%2FZD5bucuJXoK3fKpesKaEu3Q%2Fp9ucI43SkCr8p9MndIqH3BwuUjAajH8njgIljF1e3Dm3ahQwEenbDMM7b0hRf11sE18A2N1tqF6RhXlSOL%2F%2B%2F%2FAXgCrU1wxbg1wA%2F41xfT36hawffVY46LltW13x7Q%3D%3D", "publishCompletionUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@8a1dde87e60d4d4bb35327c86dcad5ca/handler/publish_completion", "completionEnabled": false, "autoplay": false, "completionPercentage": 0.95, "captionDataDir": null, "duration": 330.03, "saveStateUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@8a1dde87e60d4d4bb35327c86dcad5ca/handler/xmodule_handler/save_user_state", "ytApiUrl": "https://www.youtube.com/iframe_api", "start": 0.0, "transcriptLanguage": "en", "lmsRootURL": "https://openlearninglibrary.mit.edu", "prioritizeHls": false, "autoAdvance": false, "transcriptLanguages": {"en": "English"}, "autohideHtml5": false, "transcriptTranslationUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@8a1dde87e60d4d4bb35327c86dcad5ca/handler/transcript/translation/__lang__", "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@8a1dde87e60d4d4bb35327c86dcad5ca/handler/transcript/available_translations", "ytMetadataEndpoint": "", "recordedYoutubeIsAvailable": true, "sources": ["https://d2f1egay8yehza.cloudfront.net/MITx15.482x-V005700_DTH.mp4", "https://d2f1egay8yehza.cloudfront.net/MITx15.482x-V005700/MITx15.482x-V005700.m3u8"], "showCaptions": "true", "end": 0.0}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="8a1dde87e60d4d4bb35327c86dcad5ca"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-init="VerticalStudentView" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@vertical+block@fe945c33c73d4abbb979dbf7a906969b" data-runtime-class="LmsRuntime" data-block-type="vertical" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<h2 class="hd hd-2 unit-title">Exercise: What Does Risk Look Like?</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.482x+1T2019+type@problem+block@be3454d10113479c99c8a384d80b297e">
<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-init="XBlockToXModuleShim" data-has-score="True" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@problem+block@be3454d10113479c99c8a384d80b297e" data-runtime-class="LmsRuntime" data-block-type="problem" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Problem"}
</script>
<div id="problem_be3454d10113479c99c8a384d80b297e" class="problems-wrapper" role="group"
aria-labelledby="be3454d10113479c99c8a384d80b297e-problem-title"
data-problem-id="block-v1:MITx+15.482x+1T2019+type@problem+block@be3454d10113479c99c8a384d80b297e" data-url="/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@problem+block@be3454d10113479c99c8a384d80b297e/handler/xmodule_handler"
data-problem-score="0"
data-problem-total-possible="1"
data-attempts-used="0"
data-content="
<h3 class="hd hd-3 problem-header" id="be3454d10113479c99c8a384d80b297e-problem-title" aria-describedby="block-v1:MITx+15.482x+1T2019+type@problem+block@be3454d10113479c99c8a384d80b297e-problem-progress" tabindex="-1">
Exercise: What Does Risk Look Like?
</h3>
<div class="problem-progress" id="block-v1:MITx+15.482x+1T2019+type@problem+block@be3454d10113479c99c8a384d80b297e-problem-progress"></div>
<div class="problem">
<div>
<p>Historically, large stocks have had an average return of 10.0% with a volatility of 20.0%. If you assume that large stock returns have a normal distribution with mean 10.0% and standard deviation 20.0%, what is the probability of observing a return less than &#8211;10%? (<i>Note</i>: Your answer should be a number in percentage form. Do not enter '%'.)</p>
<p>Hint: How many standard deviations away from the mean is &#8211;10%?</p>
<center>
<img src="/assets/courseware/v1/9e7c7e64609a03b00de6c419990b6101/asset-v1:MITx+15.482x+1T2019+type@asset+block/Standard_deviation_diagram.png" width="50%"/>
</center>
<p><p style="display:inline"/>\(p = \) <div class="inline" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_be3454d10113479c99c8a384d80b297e_2_1" class=" capa_inputtype inline textline">
<div class="unanswered inline">
<input type="text" name="input_be3454d10113479c99c8a384d80b297e_2_1" id="input_be3454d10113479c99c8a384d80b297e_2_1" aria-describedby="status_be3454d10113479c99c8a384d80b297e_2_1" value=""/>
<span class="trailing_text" id="trailing_text_be3454d10113479c99c8a384d80b297e_2_1"/>
<span class="status unanswered" id="status_be3454d10113479c99c8a384d80b297e_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_be3454d10113479c99c8a384d80b297e_2_1" class="answer"/>
</div>
</div><p style="display:inline">%</p></div></p>
<div class="solution-span">
<span id="solution_be3454d10113479c99c8a384d80b297e_solution_1"/>
</div></div>
<div class="action">
<input type="hidden" name="problem_id" value="Exercise: What Does Risk Look Like? " />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_be3454d10113479c99c8a384d80b297e" >
<span class="submit-label">Submit</span>
</button>
<div class="submission-feedback" id="submission_feedback_be3454d10113479c99c8a384d80b297e">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
</div>
</div>
<div class="problem-action-buttons-wrapper">
</div>
</div>
<div class="notification warning notification-gentle-alert
is-hidden"
tabindex="-1">
<span class="icon fa fa-exclamation-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="be3454d10113479c99c8a384d80b297e-problem-title">
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification warning notification-save
is-hidden"
tabindex="-1">
<span class="icon fa fa-save" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="be3454d10113479c99c8a384d80b297e-problem-title">None
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification general notification-show-answer
is-hidden"
tabindex="-1">
<span class="icon fa fa-info-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="be3454d10113479c99c8a384d80b297e-problem-title">Answers are displayed within the problem
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
</div>
"
data-graded="False">
<p class="loading-spinner">
<i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i>
<span class="sr">Loading…</span>
</p>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-init="VerticalStudentView" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@vertical+block@6ca9f4032f14410592a6cac198f44557" data-runtime-class="LmsRuntime" data-block-type="vertical" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<h2 class="hd hd-2 unit-title">The Five Levels of Risk & Uncertainty</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.482x+1T2019+type@video+block@cf1f43bf03e14a85a4f1bc0dd5e81e5d">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-init="XBlockToXModuleShim" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@video+block@cf1f43bf03e14a85a4f1bc0dd5e81e5d" data-runtime-class="LmsRuntime" data-block-type="video" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">The Five Levels of Risk & Uncertainty</h3>
<div
id="video_cf1f43bf03e14a85a4f1bc0dd5e81e5d"
class="video closed"
data-metadata='{"speed": null, "saveStateEnabled": false, "streams": "1.00:0qTHapbzCvI", "savedVideoPosition": 0.0, "ytTestTimeout": 1500, "generalSpeed": 1.0, "poster": null, "publishCompletionUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@cf1f43bf03e14a85a4f1bc0dd5e81e5d/handler/publish_completion", "completionEnabled": false, "autoplay": false, "completionPercentage": 0.95, "captionDataDir": null, "duration": 485.58, "saveStateUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@cf1f43bf03e14a85a4f1bc0dd5e81e5d/handler/xmodule_handler/save_user_state", "ytApiUrl": "https://www.youtube.com/iframe_api", "start": 0.0, "transcriptLanguage": "en", "lmsRootURL": "https://openlearninglibrary.mit.edu", "prioritizeHls": false, "autoAdvance": false, "transcriptLanguages": {"en": "English"}, "autohideHtml5": false, "transcriptTranslationUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@cf1f43bf03e14a85a4f1bc0dd5e81e5d/handler/transcript/translation/__lang__", "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@cf1f43bf03e14a85a4f1bc0dd5e81e5d/handler/transcript/available_translations", "ytMetadataEndpoint": "", "recordedYoutubeIsAvailable": true, "sources": ["https://d2f1egay8yehza.cloudfront.net/MITx15.482x-V005900_DTH.mp4", "https://d2f1egay8yehza.cloudfront.net/MITx15.482x-V005900/MITx15.482x-V005900.m3u8"], "showCaptions": "true", "end": 0.0}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="cf1f43bf03e14a85a4f1bc0dd5e81e5d"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-init="VerticalStudentView" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@vertical+block@3fb9033a75574af380dae4561532fa28" data-runtime-class="LmsRuntime" data-block-type="vertical" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<h2 class="hd hd-2 unit-title">Drug Development & Risk</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.482x+1T2019+type@video+block@034a9b820c05424ebfb1c0681a53046a">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-init="XBlockToXModuleShim" data-has-score="False" data-runtime-version="1" data-graded="False" data-usage-id="block-v1:MITx+15.482x+1T2019+type@video+block@034a9b820c05424ebfb1c0681a53046a" data-runtime-class="LmsRuntime" data-block-type="video" data-request-token="d82e4404038011efb62602329aca76dd" data-course-id="course-v1:MITx+15.482x+1T2019">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Drug Development & Risk</h3>
<div
id="video_034a9b820c05424ebfb1c0681a53046a"
class="video closed"
data-metadata='{"speed": null, "saveStateEnabled": false, "streams": "1.00:L5Pvy47Xoig", "savedVideoPosition": 0.0, "ytTestTimeout": 1500, "generalSpeed": 1.0, "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/f0ff14c25f2c46a19b53ae4eee0ea582.png?Expires=1714104040&AWSAccessKeyId=ASIA4QDFFSUR2AYPWADK&Signature=OR5MVlZJAq%2F%2BjK2VJclhzH4%2FNWU%3D&x-amz-security-token=IQoJb3JpZ2luX2VjEGwaCXVzLWVhc3QtMSJHMEUCIEWS6qI67s1WPl2ppW0c9s%2BKeDtbTaSUoN62YbZPl8e7AiEArRG6MxoBjExSC3gXQnkniFzHSERycQXbaZRduIxftIQqwwUItP%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARADGgw4NTkyMDU2Mzc0MTEiDB2DBjAjOHUReOaCwiqXBUCAwHfZG54mdRpp8GRvDOAtAfayPOUwd4%2Bl3nC9YSHPxs2%2BJVwsmnpe4sMc5ykJCxtlU42SehBH0jjh9SJyEtjTgZqjH02lsurMggMM4J0544WLcvEF6DMPEu9pHcvRQAxpR8hUKyeCjEo7%2F%2Be9bPaAit3Selu1BmGF3H1XVbQnVBtca8yRUX1BcSUfI7A5ci%2FHJRVOlVwOT0qgkt2VLYKjRJy0TZp2Df1Mo%2FEQmove5PY9%2B684Ew%2FylYmNEZxFqZiz3Cw79FbVO%2FEvmiJG2Hd6WwP0p9Aiq0j59UkWmrHPzHArk8aQZ1lpgVzsllPbQ6xaS6KhHdbwuvfsYgmIdSg0PpooTSsTY7sI2429NEmNHGkUGkiXHD93CY2H5hAMc5JEVmXIi9YVJBtKL%2BYtgOnQg9r1PBiaIDAw%2FmIFXGXnJyilyqMvn8VwErxjpefViI2hPf29RrVyoGx5yAG5U8gE61Q%2FUhfoXFv9qq7NYox0uCUewlEa1q5rVxaNbwMbMCE7%2BUqjXJ3lDe0MbAYmP7qRDIP1StZumyU4iqQvHjkIy%2BQ2nfBapn%2BUMnGl67spo%2FbA9FbHtdSfCExJz3fjtyQNtyMs9Ts0Os%2FFzVbMAqbR3wQa4KybQlQAKp7wByioOp6Nqr46QEHcCW40o%2Fu5762RnReXQ3dzhqUgIultEWKA5f%2BvPlJztll3gl%2FpsBcWhJhA0frremzt8dq1%2BYgtHNUj9kyK9mcAnLwPCXWvN8m8xcvQE2XhUyvd1MnTR9yz3nyjndK%2B%2BhPU%2Bcyq42mfBsSJuDEzgKFyrkUguyw9qbQ1Tm%2FztsHBHg9j0lJLYXdaQj2ymmLVDrDHBlYw73QX4Jht%2FxlWLmef92ehJwsUNYxfw9iof5gR%2FDDAu6yxBjqxAQ8gjBc%2FNmKjHDoZZ%2FleGemGDaaQo8HgEPPs04Vk6W2ViklU%2FMe6lpEzGKbz9i5LRY5TKDV6udpg8NvttHc3Iyv%2FZD5bucuJXoK3fKpesKaEu3Q%2Fp9ucI43SkCr8p9MndIqH3BwuUjAajH8njgIljF1e3Dm3ahQwEenbDMM7b0hRf11sE18A2N1tqF6RhXlSOL%2F%2B%2F%2FAXgCrU1wxbg1wA%2F41xfT36hawffVY46LltW13x7Q%3D%3D", "publishCompletionUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@034a9b820c05424ebfb1c0681a53046a/handler/publish_completion", "completionEnabled": false, "autoplay": false, "completionPercentage": 0.95, "captionDataDir": null, "duration": 355.0, "saveStateUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@034a9b820c05424ebfb1c0681a53046a/handler/xmodule_handler/save_user_state", "ytApiUrl": "https://www.youtube.com/iframe_api", "start": 0.0, "transcriptLanguage": "en", "lmsRootURL": "https://openlearninglibrary.mit.edu", "prioritizeHls": false, "autoAdvance": false, "transcriptLanguages": {"en": "English"}, "autohideHtml5": false, "transcriptTranslationUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@034a9b820c05424ebfb1c0681a53046a/handler/transcript/translation/__lang__", "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.482x+1T2019/xblock/block-v1:MITx+15.482x+1T2019+type@video+block@034a9b820c05424ebfb1c0681a53046a/handler/transcript/available_translations", "ytMetadataEndpoint": "", "recordedYoutubeIsAvailable": true, "sources": ["https://d2f1egay8yehza.cloudfront.net/MITx15.482x-V005600_DTH.mp4", "https://d2f1egay8yehza.cloudfront.net/MITx15.482x-V005600/MITx15.482x-V005600.m3u8"], "showCaptions": "true", "end": 0.0}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="034a9b820c05424ebfb1c0681a53046a"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
</div>
</div>
</div>
</div>
</div>
© All Rights Reserved