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                    STK-MAT3700 - Introduction to Mathematical Finance and Investment Theory
                  
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        <h1>Messages
          
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              <div class="vrtx-result-1 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/the-solutions-for-the-trial-exam.html">The solutions for the trial exam</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Dec. 12, 2025 2:26 PM            </div>


            <div class="description introduction">
                <p>The solutions are?<a href="/studier/emner/matnat/math/STK-MAT3700/h25/timeplan/examstkmat3700-1.pdf"> here</a></p>
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              <div class="vrtx-result-2 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/import-information-about-the-exam-form.html">Import information about the exam form</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 21, 2025 1:17 PM            </div>


            <div class="description introduction">
                <p>The exam in STK-MAT 3700 \ 4700 this year will require you to write the exam in so-called digital sketches. This means the following for you as a student:</p><p>The exam is formally a digital exam and will take place in Silurveien.</p><p>You will not be given the exam questions in print; it will be available in Inspera on the computer assigned to you in Silurveien.</p><p>You must answer all questions on paper using a ballpoint pen. These sheets are not copy paper (?gjennomslagsark?).</p><p>You must write a unique code on each sheet that is linked to each question, in addition to the usual information: date, course code, candidate number, question number and sheet number. The unique question code can be found in Inspera and must be written on all sheets before the end of the exam time. Note that no extra time is given for this.</p><p>When the exam is finished, click "Submit now" in Inspera and then hand in the physical sheets in the order they sho...</p>
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                    <a href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/import-information-about-the-exam-form.html" class="more">
Read more ...                    </a>
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              <div class="vrtx-result-3 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/nb!.html">NB!</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 21, 2025 11:09 AM            </div>


            <div class="description introduction">
                <p>Dear students,</p><p>The exam is listed as digital because an exam with digital hand drawings uses Inspera and is therefore technically a digital exam. The format that was considered is exactly the one that will be used.</p><p>A PDF with the tasks will be attached in the test in Inspera, and you will view the problems on the computer. However, you will write your answers by hand using a pen on the paper that is handed out during the exam. This paper contains special machine-readable codes that will be used for scanning your answers.</p>
            </div>
        </div>



              <div class="vrtx-result-4 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/trial-exam-materials-released.html">Trial Exam Materials Released</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 16, 2025 11:28 PM            </div>


            <div class="description introduction">
                <p>Dear students,</p><p>The trial exam for STK-MAT3700/4700 is now available.</p><p>You can find the full set of problems, formatted in the same style as the official exam, at the following location:</p><p>→ <a href="/studier/emner/matnat/math/STK-MAT3700/h25/timeplan/examstkmat3700trial2025.pdf">Trial Exam: STK-MAT3700/4700?</a></p><p>? strongly encourage you to look through the exercises and attempt them under exam-like conditions. The topics covered in the trial exam reflect the structure and level of difficulty you may expect on the actual examination.</p><p>If you have any questions regarding the material, please feel free to contact me.</p><p>Good luck with your preparation!</p>
            </div>
        </div>



              <div class="vrtx-result-5 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/reading-assignments-for-exam-preparation.html">Reading Assignments for Exam Preparation</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 16, 2025 12:54 AM            </div>


            <div class="description introduction">
                <p><strong>1. Arlie O. Petters &amp; Xiaoying Dong</strong> " <i>An Introduction to Mathematical Finance with Applications</i>"</p><p>Section 2.10, Sections 3.1- 3.3</p><p>Sections 4.11, 4.13, Subsection 4.2.5, Sections 6.1, 6.5?</p><p>Sections 7.2, 7.3, Sections 8.5.1, 8.5.2, 8.5.3, 8.8.3</p><p><strong>2. Stanley R. Pliska?</strong> "<i>Introduction to Mathematical Finance: Discrete Time Models</i>"</p><p>Section 1: pp. 1–28</p><p>Section 2: Subsections 2.1–2.2</p><p>Section 3: Subsections 3.1–3.5</p>
            </div>
        </div>



              <div class="vrtx-result-6 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/materials-on-the-risk-neutral-computational-approach-(portfolio-optimization).html">Materials on the Risk-Neutral Computational Approach (Portfolio Optimization)</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 10, 2025 2:39 PM            </div>


            <div class="description introduction">
                <p>In the attached file (<a href="/studier/emner/matnat/math/STK-MAT3700/h25/timeplan/optport.pdf">here)</a> you will find notes on the risk-neutral computational approach to portfolio optimization. The example with two assets is explained step-by-step, including how to derive the optimal terminal wealth and determine the trading strategy that generates it. The calculations of the Lagrange multiplier and the resulting optimal utility are also provided.</p><p>Please review this material carefully</p>
            </div>
        </div>



              <div class="vrtx-result-7 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/test-questions-with-answers.html">Test questions with answers</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 10, 2025 2:24 PM            </div>


            <div class="description introduction">
                <p><a href="/studier/emner/matnat/math/STK-MAT3700/h25/timeplan/test.pdf">?Test</a> questions with answers</p>
            </div>
        </div>



              <div class="vrtx-result-8 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/reading-for-the-next-class.html">Reading for the next class</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 3, 2025 4:26 PM            </div>


            <div class="description introduction">
                <p data-end="75" data-start="42">Please read from <em data-end="102" data-start="94">Pliska</em>:</p>

<ul data-end="266" data-start="104">
	<li data-end="146" data-start="104">
		<p data-end="146" data-start="106">§4.4 <strong data-end="146" data-start="111">Complete and Incomplete Markets</strong></p>
	</li>
	<li data-end="266" data-start="147">
		<p data-end="266" data-start="149">Chapter 5: §5.1 <strong data-end="211" data-start="165">Optimal Portfolios and Dynamic Programming</strong> and §5.2 <strong data-end="266" data-start="221">Optimal Portfolios and Martingale Methods</strong></p>
	</li>
</ul>

<p data-end="392" data-is-last-node="" data-is-only-node="" data-start="268">It’s helpful to note key definitions (marketability, market completeness, risk-neutral measure) and skim examples/exercises.</p>

            </div>
        </div>



              <div class="vrtx-result-9 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/attainable-contingent-claim.html">Attainable contingent claim</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 27, 2025 3:08 PM            </div>


            <div class="description introduction">
                <p>Presentation <a href="/studier/emner/matnat/math/STK-MAT3700/h25/timeplan/cl.pdf">here</a></p>

            </div>
        </div>



              <div class="vrtx-result-10 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/check-out-these-exercises-and-a-movie-clip-from-%E2%80%9C21%E2%80%9D.html">Check Out These Exercises and a Movie Clip from “21”</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 13, 2025 2:37 PM            </div>


            <div class="description introduction">
                <p>In the attached <a href="/studier/emner/matnat/math/STK-MAT3700/h25/timeplan/3700__copy_.pdf">file</a>, you will find a couple of exercises and a short clip from the movie <em data-end="193" data-start="189">21</em>. The professor in the video explains the topic in a very engaging way!</p>

<p>What is the probability of winning the car given that Ben changes his choice after the instructor’s move?(link <a href="https://www.youtube.com/watch?v=CYyUuIXzGgI">here</a>)</p>

            </div>
        </div>



              <div class="vrtx-result-11 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/conditional-expectation-and-risk-neutral-probability.html">Conditional Expectation and Risk-Neutral Probability</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 13, 2025 11:35 AM            </div>


            <div class="description introduction">
                <p>This week (13-15 October), we will review the main statements related to <strong data-end="135" data-start="108">conditional expectation</strong>, solve several exercises, and introduce the concepts of <strong data-end="219" data-start="192">arbitrage opportunities</strong> in a <strong data-end="258" data-start="225">multi-period financial market</strong> and <strong data-end="291" data-start="263">risk-neutral probability</strong>.</p>

            </div>
        </div>



              <div class="vrtx-result-12 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/new-materials-on-bonds-and-stocks-%E2%80%93-now-in-the-schedule.html">New Materials on Bonds and Stocks – Now in the Schedule</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 6, 2025 2:26 PM            </div>


            <div class="description introduction">
                <p>You can now find the materials on bonds and stocks in the “Schedule” (on October 6).</p>

            </div>
        </div>



              <div class="vrtx-result-13 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/important-october-1-class-canceled.html">Important: October 1 Class Canceled</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 30, 2025 2:27 PM            </div>


            <div class="description introduction">
                <p>There will be no class on Wednesday, October 1. The next lecture will take place on Monday, October 6, as scheduled.</p>

            </div>
        </div>



              <div class="vrtx-result-14 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/solutions.html">Solutions</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 21, 2025 1:56 PM            </div>


            <div class="description introduction">
                <p>Solutions to exercises from September 10 are now to be found in the "Schedule" (on that date)</p>

            </div>
        </div>



              <div class="vrtx-result-15 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/exercises-2.html">Exercises</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 18, 2025 3:29 PM            </div>


            <div class="description introduction">
                <p>There are exercises posted for one-period option pricing, see "Schedule" Monday September 15.&nbsp;</p>

            </div>
        </div>



              <div class="vrtx-result-16 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/mandatory-assignment.html">Mandatory assignment</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 11, 2025 8:30 AM            </div>


            <div class="description introduction">
                <p>Here is the <a href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/obligforside-eng.pdf">mandatory assignment</a>. It will soon also appear in Canvas.</p>

<p><strong>Note 1</strong>: It must be handed in in Canvas</p>

<p><strong>Note 2</strong>: It must be passed before you are admitted to the final exam</p>

<p><strong>Note 3</strong>: There is no second chance.....only one attempt. In order to pass, you must provide a decent answer to ALL exercises!&nbsp;</p>

            </div>
        </div>



              <div class="vrtx-result-17 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/new-exercises.html">New exercises</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 11, 2025 8:27 AM            </div>


            <div class="description introduction">
                <p>Pleas see the "Schedule" on September 10 for a new set of exercises.&nbsp;</p>

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            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/solutions-to-exercises.html">Solutions to exercises</a>
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Published              </span>
Sep. 11, 2025 8:04 AM            </div>


            <div class="description introduction">
                <p>Please check out the "Schedule" on September 1 and 3 for suggested solutions to last week's exercises.</p>

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            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/exercises.html">Exercises</a>
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Published              </span>
Sep. 4, 2025 1:16 PM            </div>


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                <p>There are new exercises posted, see Schedule on Wednesday Sept 3!</p>

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            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/finance-data.html">Finance Data</a>
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Published              </span>
Sep. 1, 2025 8:34 AM            </div>


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                <p>Here you can find<a href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/finance_data.csv"> 5 data series</a> of daily stock prices. These data are for the exercises and the mandatory assignment.&nbsp;</p>

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            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/curriculum-to-this-edition-of-stk-mat3700-.html">Curriculum to this edition of STK-MAT3700 </a>
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Published              </span>
Aug. 22, 2025 6:44 AM            </div>


            <div class="description introduction">
                <p>The lectures will be based on the book by Petters and Dong: An Introduction to Mathematical Finance with Applications (see syllabus-link). We refer to this book in the "Schedule" and in lectures.</p>

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            <a class="vrtx-title" href="/studier/emner/matnat/math/STK-MAT3700/h25/beskjeder/welcome.html">Welcome</a>
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Published              </span>
Aug. 10, 2025 9:47 AM            </div>


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                <p>You are all welcome to this year's edition of STK-MAT3700!</p>

<p>The first lecture is on Wednesday August 20 (Monday's lecture is cancelled!).&nbsp;</p>

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