Here we use the following notations:

• SI — sources of income;
• PPI — payback period of investment.

     General properties of this type tasks:

• physical nature of SI — securities;
• diversity of SI profitability — varying (see definit.);
• option of SI realization — on their definite profitability;
• option of accounting SI realization period:
  • by its limitation (option 1);
  • by setting its parameters (option 2);
• number of same-type SI purchased by one request — all;
• payback factor:
  • absent (option 3);
  • return on investment in absence of initial SI (option 4);
  • return on initial SI cost in absence of investment (option 5);
• the need for statistical modeling:
  • for options 2 and 3 (their conjunction) — not is;
  • for other options — is.

     Variant of task statement for option 3:

• number of investment options, for each of them are given:
  • investment amount, which consists of two parts:
    • investor's own funds;
    • credit funds, involved by him;
• interest rate on the loan;
• for option 1:
  • deadline of realizing acquired SI;
• for option 2:
  • control period of realizing acquired SI;
  • maximum probability of incomplete realizing SI of each type during this period;
• number of SI types, for each of them are given:
  • SI sample description;
  • number of initial SI;
  • minimum and permissible numbers of being acquired SI samples;
  • cost of one SI;
  • specific income (per time unit) from owning one SI;
  • number of proceeds options for SI realization, for each of them are given:
    • expected proceeds from realizing one SI (selling price);
    • number of points of a tabular function of distributing a random time to the moment of entering a request for SI realization, for each of them are given:
      • value of argument: a current time to entering a request for reasizing SI;
      • value of function of this time distribution;
  • for option 1 — markdown factor for remaining SI at their clearance sale.

     Variant of task statement for option 4:

• investment amount, which consists of two parts:
  • investor's own funds;
  • credit funds, involved by him;
• interest rate on the loan;
• payback parameters:
  • PPI;
  • maximum and minimum values of a rate of return during PPI on the consumed investment amount;
  • number of values ​​of this rate;
• for option 1:
  • deadline of realizing acquired SI;
• for option 2:
  • control period of realizing acquired SI;
  • maximum probability of incomplete realizing SI of each type during this period;
• number of SI types, for each of them are given:
  • SI sample description;
  • minimum and permissible numbers of being acquired SI samples;
  • cost of one SI;
  • specific income from owning one SI;
  • number of proceeds options for SI realization, for each of them are given:
    • expected proceeds from realizing one SI (selling price);
    • number of points of a tabular function of distributing a random time to the moment of entering a request for SI realization, for each of them are given:
      • value of argument: a current time to entering a request for reasizing SI;
      • value of function of this time distribution;
  • for option 1 — markdown factor for remaining SI at their clearance sale.

     Variant of task statement for option 5:

• total cost of all initial SI;
• payback parameters:
  • maximum and minimum values ​​of PPI;
  • number of PPI values;
  • rate of return during PPI on the cost of all initial SI;
• for option 1:
  • deadline of realizing acquired SI;
• for option 2:
  • control period of realizing acquired SI;
  • maximum probability of incomplete realizing SI of each type during this period;
• number of SI types, for each of them are given:
  • SI sample description;
  • number of initial SI;
  • specific income from owning one SI;
  • number of proceeds options for SI realization, for each of them are given:
    • expected proceeds from realizing one SI (selling price);
    • number of points of a tabular function of distributing a random time to the moment of entering a request for SI realization, for each of them are given:
      • value of argument: a current time to entering a request for reasizing SI;
      • value of function of this time distribution;
  • for option 1 — markdown factor for remaining SI at their clearance sale.

     Maximized quality criterion: absolute income from realization of SI and their previous exploitation.