Received 13.01.2022
Revised 13.05.2022
Accepted 14.06.2022
Retrieved from Iss. 111, 2022
Pages 382 -390
Abstract
The effectiveness of modern mathematical methods of implementation the comparative approach in real estate evaluation is analyzed in the work. Within this approach the following mathematical methods of determining corrective amendments to the value of the valuation object were analyzed: expert method, method based on solving a system of linear equations, calculation method based on normalized distances in the space of price-forming factors, and correlation-regression method. The main computing formulas and the sequence of calculations for each of the researched methods are outlined. The main criteria for choosing one or another method are defined on the basis of their advantages and disadvantages and application restrictions. The results of a computational experiment investigating the degree of sensitivity of mathematical methods regarding ways of formalization (digitization) of the initial qualitative information in determining the value of real estate objects within a comparative approach are presented. It is represented that the method of determining corrective amendments based on the solution of a system of linear equations is the most sensitive to the choice of the method of digitization of the initial data, the method of calculation based on normalized distances in the space of price-forming factors is less sensitive, and the correlation-regression method is not sensitive at all.
Keywords:
real estate, valuation of property and real estate, digitization of original data, comparative approach in real estate valuation, value of real estate objectNatsionalʹnyy standart №1 “Zahalʹni zasady otsinky mayna ta maynovykh prav”. Zatverdzheno Postanovoyu Kabinetu Ministriv Ukrayiny vid 10 veresnya 2003 r. N 1440 – [Elektronnyy resurs]. – Rezhym dostupu: https://zakon.rada.gov.ua/laws/show/1440-2003-%D0%BF#Text
Otsinka ta upravlinnya nerukhomistyu: navchalʹnyy posibnyk / [V. R. Kucherenko, M. A. Zayetsʹ, O. V. Zakharchenko, N. V. Smentyna, V. O. Ulybina]. – Odesa: Vydavnytstvo TOV «Leradruk», 2013. – 272 s.
Primeneniye metodov matrichnoy algebry pri otsenke imushchestva / [S.A.Sivets, I.L.Levykina (pod obshchey redaktsiyey Ya.I.Markusa)] // Praktika otsenki/ - K. Yekonomíka, 2008. – 66s.
Gribovskiy S.V., Sivets S.A., Levykina I.A. Novyye vozmozhnosi sravnitel'nogo podkhoda pri reshenii starykh problem // Gosudarstvennyy informatsionnyy byuleten' o privatizatsii, №4, 2003
Olena Slavinska, Vyacheslav Savenko, Lyudmila Bondarenko, Andrey Bubela. (2017). Іmprovement of methods of the property valuation based on mathematical and numerical modeling / Eureka: physics and engineering - Vol.6. – P.3-14
Bondarenko L.P. Zastosuvannya metodiv matematychnoho modelyuvannya dlya pryynyattya upravlinsʹkykh rishenʹ v otsintsi nerukhomosti / Savenko V.YA., , Bondarenko L.P, Usychenko O.YU. // Avtomobilʹni dorohy i dorozhnye budivnytstvo –Vyp.98. – 2016. – S.204-212
Teoriya ymovirnostey ta matematychna statystyka: navchalʹnyy posibnyk / O. I. Ohirko, N. V. Halayko. – Lʹviv: LʹvDUVS, 2017. – 292 s.
Bubela A.V., Bondarenko L.P., Kvatadze YE.I. Osoblyvosti formalizatsiyi yakisnykh tsinoutvoryuyuchykh faktoriv pry realizatsiyi matematychnykh metodiv v otsintsi nerukhomosti // Ekonomichnyy rozvytok: teoriya, metodolohiya, upravlinnya [materialy VII Mizhnarodnoyi naukovo-praktychnoyi konferentsiyi]. – Nemeros s.r.o. – Prague. – 2021.- S.22-29.