Here we use the following notation:

• REO — real estate objects.

     General properties of the task:

• mode of investment — to buy alien real estate;
• payback factor — average return over a given initial period on a specified part of used investment amount;
• the need for statistical modeling — is.

     Given:

• 4 restrictions for the choice of REO;
• investment amount, which consists of two parts:
  • investor's own funds;
  • credit funds, involved by him;
• interest rate on the loan;
• 4 payback parameters, the last of which — number of values ​​of a rate of return (number of investment options);
• a set of REO available for purchase, for each of them are given:
  • possible sign of selecting the REO before applying restrictions;
  • REO sample description;
  • its cost;
  • number of REO upgrade options, for each of them are given:
    • description of this option;
    • REO upgrade cost;
    • duration of its upgrade;
    • number of REO exploiting options, for each of them are given:
      • expected specific income (per time unit) from subsequent exploiting the REO in stationary mode;
      • tabular function of distribution of a random delay for the start of exploiting.

     Maximized quality criterion: relative income (per time unit) from exploiting purchased REO after their possible upgrade while performing specified condition of payback.