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A stochastic model of the South African gold mines

A stochastic model of the South African Gold mines was constructed using Contingent Claims Analysis. This method allows the modelling of the major sources of uncertainty that the gold mines face, namely, uncertainty surrounding the future gold price, the exchange rate, the inflation rate, and the in...

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Main Author: Beelders, Owen
Format: Thesis
Language:English
Published: School of Economics 2023
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access_status_str Open Access
author Beelders, Owen
author_browse Beelders, Owen
author_facet Beelders, Owen
author_sort Beelders, Owen
collection Thesis
description A stochastic model of the South African Gold mines was constructed using Contingent Claims Analysis. This method allows the modelling of the major sources of uncertainty that the gold mines face, namely, uncertainty surrounding the future gold price, the exchange rate, the inflation rate, and the interest rate. The trajectories of these variables were modelled by stochastic differential equations. By applying the principles of contingent claims analysis, we could obtain a valuation partial differential equation that described the value of the mine contingent on the current values of the state variables mentioned above. This partial differential equation was solved by the Monte Carlo method and the solution was compared to current estimates of the mines' value.
format Thesis
id oai:open.uct.ac.za:11427/38813
institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:33:54.099Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2023
publishDateRange 2023
publishDateSort 2023
publisher School of Economics
publisherStr School of Economics
record_format dspace
source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/38813 A stochastic model of the South African gold mines Beelders, Owen Gold Mines A stochastic model of the South African Gold mines was constructed using Contingent Claims Analysis. This method allows the modelling of the major sources of uncertainty that the gold mines face, namely, uncertainty surrounding the future gold price, the exchange rate, the inflation rate, and the interest rate. The trajectories of these variables were modelled by stochastic differential equations. By applying the principles of contingent claims analysis, we could obtain a valuation partial differential equation that described the value of the mine contingent on the current values of the state variables mentioned above. This partial differential equation was solved by the Monte Carlo method and the solution was compared to current estimates of the mines' value. 2023-09-21T13:27:54Z 2023-09-21T13:27:54Z 1991 2023-09-21T13:27:11Z Master Thesis Masters MA http://hdl.handle.net/11427/38813 eng application/pdf School of Economics Faculty of Commerce
spellingShingle Gold Mines
Beelders, Owen
A stochastic model of the South African gold mines
thesis_degree_str Master's
title A stochastic model of the South African gold mines
title_full A stochastic model of the South African gold mines
title_fullStr A stochastic model of the South African gold mines
title_full_unstemmed A stochastic model of the South African gold mines
title_short A stochastic model of the South African gold mines
title_sort stochastic model of the south african gold mines
topic Gold Mines
url http://hdl.handle.net/11427/38813
work_keys_str_mv AT beeldersowen astochasticmodelofthesouthafricangoldmines
AT beeldersowen stochasticmodelofthesouthafricangoldmines