{% extends "global/Base.html" %}
{% load otree_tags %}
{% block title %}Bonus Payment{% endblock title %}

{% block content %}

    <p>
        In the following, you are asked to split a wealth of <span style="white-space: nowrap;">£10 000 </span> between two assets, about which you will receive more information soon.
	</p>

    <p>
    Your goal is to select a portfolio such that your selected portfolio

    {% if player.goal_treatment == 1 %}
    has the highest possible expected return. Specifically, please maximize the the median portfolio return
    (the portfolio return, for which the realized return lies with equal probability above or below).

    {% elif player.goal_treatment == 2 %}
    has the lowest-possible risk. Specifically, please minimize the probability
    of a loss (negative return) for the portfolio.

    {% elif player.goal_treatment == 3 %}
    <ul>
      <li>
        either has the highest possible expected return. Specifically, please maximize the the median portfolio return
        (the return, for which the realized return lies with equal probability above or below).
      </li>
      <li>
        or has the lowest-possible risk. Specifically, please minimize the probability of a loss (negative return) for the portfolio.
      </li>
    </ul>


    {% else %}
    best suits your personal preferences.
    {% endif %}
  </p>

<p>
  Based on your selected portfolio,

{% if player.goal_treatment < 4 %}
    we calculate your bonus payment as £2.00 minus "Suboptimality Deduction",
    where the suboptimality deduction is the absolute deviation between
    your selected investment and the optimal portfolio's investment into Asset 2 in £, divided by 5 000.
  <p>
    Example: Assume you have invested {{ inv_asset1 }} and {{ inv_asset2 }} of your £10 000 wealth into Asset 1 and Asset 2,
    respectively. The optimal portfolio---which reaches your portfolio goal as given above---invests {{ optimal_inv2 }}
    into Asset 2. As a consequence, your investment deviates by {{ deviation_from_optimal }} from the optimal portfolio's investment
    into Asset 2. Therefore, your bonus payment is £2.00 - {{ deviation_from_optimal }} / 5 000 = {{ bonus_pay }}
    and your total payment, including the base payment of £2.50, would be £2.50 + {{ bonus_pay }} = {{ total_pay }}.
  </p>


  {% else %}
  we calculate the bonus from a simulation of returns (returns are defined as the percentage growth of your investment)
  based on the formula <br>
   [Amount_Asset1 * (1+Return_Asset1) + Amount_Asset2 * (1+Return_Asset2)] / <span style="white-space: nowrap;">10 000 </span>
  <p>
    Example: Assume you have invested {{inv_asset1}} and {{inv_asset2}} of your <span style="white-space: nowrap;">£10 000 </span> wealth into Asset 1 and Asset 2, respectively.
    The simulation results in a return of {{r_asset1}} for Asset 1 and {{r_asset2}} for Asset 2. As a consequence, your final wealth sums up to
    {{inv_asset1}} * (1 {{r_asset1}}) + {{inv_asset2}} * (1 {{r_asset2}}) = {{inv_asset1}} * {{r_plus11}} + {{inv_asset2}} * {{r_plus12}} = {{total_r}}.
    Therefore, your bonus payment is {{total_r}} / 10 000  = {{bonus_pay}} and your total payment, including the base payment of £2.50, would be {{bonus_pay}} + £2.50 = {{total_pay}}.
  </p>
</p>
  {% endif %}



{% next_button %}

{% endblock %}