scholarly journals Projection of the two-dimensional Black-Scholes equation for options with underlying stock and strike prices in two different currencies

2021 ◽  
Vol 68 (1 Jan-Feb) ◽  
Author(s):  
Guillermo Chacón-Acosta ◽  
Rubén O. Salas
Keyword(s):  
Exchange Rate ◽  
Interest Rates ◽  
Stock Price ◽  
Option Price ◽  
One Dimensional ◽  
Several Variables ◽  
Exercise Price ◽  
Black Scholes ◽  
Reduction Methods ◽  
The Exchange Rate

The two-variable Black-Scholes equation is used to study the option exercise price of two different currencies. Due to the complexity of dealing with several variables, reduction methods have been implemented to deal with these problems. This paper proposes an alternative reduction by using the so-called Zwanzig projection method to one-dimension, successfully developed to study the diffusion in confined systems. In this case, the option price depends on the stock price and the exchange rate between currencies. We assume that the exchange rate between currencies will depend on the stock price through some model that bounds such dependence, which somehow influences the final option price.As a result, we find a projected one-dimensional Black-Scholes equation similar to the so-called Fick-Jacobs equation for diffusion on channels. This equation is an effective Black-Scholes equation with two different interest rates, whose solution gives rise to a modified Black-Scholes formula. The properties of this solution are shown and were graphically compared with previously found solutions, showing that the corresponding difference is bounded.

scholarly journals PENGARUH INFLASI, SUKU BUNGA DAN NILAI TUKAR RUPIAH TERHADAP HARGA SSAHAM PERUSAHAAN SEKTOR PROPERTI DAN REAL ESTATE YANG TERCATAT DI BURSA EFEK INDONESIA

2018 ◽  
Vol 6 (1) ◽  
Author(s):  
Fitri Ramadani
Keyword(s):  
Exchange Rate ◽  
Data Analysis ◽  
Interest Rates ◽  
Stock Prices ◽  
Stock Price ◽  
Least Square ◽  
Ordinary Least Square ◽  
Analysis Techniques ◽  
Negative Effect ◽  
The Exchange Rate

Thepurpose of this research is to knowthe influence of inflation,interestrates, and the exchange rate of the rupiah against the stock price. This research wasconducted on 30 companies secto rproperty and real estatelisted onthe IndonesiastockexchangePeriod 2012 – 2014. Data analysis techniques used in research namely OLS (Ordinary Least Square)through the help of multiple software SPSS version 18.0. Research results indicate that simultaneous inflation, interest rates, the rupiah exchanger ateand effect on stock prices. Research partially indicate that inflation is not a negative and apositive effect against the stock price, while the negative effect of interest rates significantly to the stock price and the exchange rate of rupiah apositive significant effect against the stock price.

scholarly journals PENGUJIAN EMPIRIK ATAS EKSPOSUR EKONOMI YANG DIHADAPI OLEH PERUSAHAAN SEKTOR OTOMOTIF DI INDONESIA

2018 ◽  
Vol 4 (2) ◽  
Author(s):  
Romikul Ghurub
Keyword(s):  
Exchange Rate ◽  
Interest Rates ◽  
Small Proportion ◽  
Stock Price ◽  
Stock Exchange ◽  
Automotive Sector ◽  
Distributed Lag ◽  
Foreign Currencies ◽  
The Exchange Rate ◽  
Japanese Yen

The purpose of the research is to know whether the automotive sector companies operating in Indonesia is facing economic exposure. This study uses the Distributed Lag regression to determine whether there is economic exposure that must be faced by the automotive subsector in Indonesian companies listed on the Indonesia Stock Exchange during the period 2008 to 2013 or not.The results of the analysis show that the effect of the company's external economic exposure in the show by the exchange rate against foreign currencies (U.S. dollar and Japanese yen) are not shown to significantly affect the price of shares in companies listed automotive sector The Indonesia Stock Exchange. The results of this analysis can occur due to factors that affect economic exposure not only fixated on the exchange rate against foreign currencies but also there are other factors that affect the economy, such as interest rates and inflation.The results of simultaneous test (F test ) and partial test ( t test ) which found results that support each addition has no significant effect , the rupiah exchange rate against the U.S. Dollar and Japanese Yen also has a coefficient of determination with such a small proportion is 2.8 % and 0.01%. Small proportion of this which reinforce that the rupiah exchange rate against foreign currencies does not have an influence on company's stock price. Keywords: Economic Exposure, Exchange Rate, Stock Price, Regression Distributed Lag

scholarly journals Estimasi permintaan indeks harga saham gabungan di Indonesia

2020 ◽  
Vol 8 (2) ◽  
pp. 65-76
Author(s):  
Ade Nugraha Paer ◽  
Syamsurijal Tan ◽  
Emilia Emilia
Keyword(s):  
Exchange Rate ◽  
Interest Rates ◽  
Money Supply ◽  
Stock Price ◽  
Price Index ◽  
Linear Regression Analysis ◽  
Least Square ◽  
Stock Price Index ◽  
The Exchange Rate ◽  
Index Exchange

The purpose of this study is (a) to see the development of the composite stock price index, exchange rate, inflation, interest rates, and the money supply in Indonesia. (b) analyze the effect of the exchange rate, inflation, interest rate, and money supply on the composite stock price index in Indonesia. The method used in this study is a quantitative descriptive method with multiple linear regression analysis tools using the Ordinary Least Square (OLS) method. The data used is in the form of a time series. The results of this study average the development of the composite stock price index by 0.22 percent, the exchange rate by 2.57 percent, inflation by -0.90 percent, interest rates by -2.73 percent, and the Money Supply by 0.06 percent. Based on the results of the analysis conducted, exchange rates and interest rates have a negative and significant effect on the composite stock price index, inflation and the money supply have a positive and significant effect on the composite stock price index. Keywords: Composite stock price index, Exchange rate, Inflation, Interest rates, Money supply.

scholarly journals PENGARUH EKONOMI MAKRO TERHADAP INDIKATOR PERGERAKAN (INDEKS) HARGA SAHAM

2020 ◽  
Vol 32 (02) ◽  
pp. 134-144
Author(s):  
Yusup Hari Subagya
Keyword(s):  
Exchange Rate ◽  
Interest Rates ◽  
Stock Prices ◽  
Stock Price ◽  
Price Index ◽  
Stock Exchange ◽  
Linear Regression Analysis ◽  
Significance Level ◽  
Stock Price Index ◽  
The Exchange Rate

The purpose of this research activity is to find out how the macroeconomic influence on the indicators of movement (index) of stock prices on the IDX. The research method uses multiple linear regression analysis and in the form of quantitative descriptive data, sampling with a sampling technique in the form of purposive sampling from publication data from 2009-2019. The results showed that inflation and interest rates have a significant effect on the stock price index on the Indonesia Stock Exchange, inflation with a significance level of 0.007 < 0.05 for the interest rate with a significance level of 0.000 < 0.05 and the exchange rate with a significance level of 0.126 > 0 , 05 then the exchange rate has no significant effect on the stock price index on the Indonesia Stock Exchange. Simultaneously, inflation, interest rates and exchange rates have a significant effect on the stock price index on the Indonesia Stock Exchange.

scholarly journals EFFECT OF EXCHANGE RATE AND INTEREST RATES SBI RUPIAHS TO GAIN SHARE PT. INDOFOOD SUKSES MAKMUR TBK

2019 ◽  
pp. 28-40
Keyword(s):  
Exchange Rate ◽  
Data Analysis ◽  
Interest Rate ◽  
Exchange Rates ◽  
Interest Rates ◽  
Stock Price ◽  
The World ◽  
The Exchange Rate ◽  
Model Equations ◽  
Variable Exchange

This study aimed to determine the effect of exchange rate and interest rate SBI to simultaneously benefit the company's shares, determine the effect of the exchange rate to gain partial shares of the company and determine the effect of SBI interest rate of the company's stock price partially. The study was conducted at PT. Indofood CBP Sukses Makmur Tbk. The data used for 4 years were taken monthly or as many as 48 data. The data is sourced from the website of Bank Indonesia, Foam Indonesia, and the World Investment Securities. Based on data analysis known that the variable exchange rates and interest rates SBI affect the company's stock gains simultaneously. Calculated F value of 16.943 with a significance of 0.00. The significance value of less than 0.05 is the value of alpha. R squared value of 43.0%. It means variable exchange rate and the SBI interest rate effect on profit shares of the company amounted to 43.0% while the rest influenced by other variables not included in the model equations. The exchange rate has no effect on the company's stock gains were studied. T value of 0.872 with a significance value of 0.388. The significance values greater than 0.05. R squared value of 1.6%. This value shows the effect of the exchange rate variable to stock gains of 1, 6% and the rest is influenced by other variables that are not included in the analysis tables. Variable SBI affects the profit shares of the company being investigated. T value of 4.498 with a significance value of 0.00. The significance value less than 0.05. R squared value of 30.5%. This value indicates the SBI variables influence on stock gains of 30.5% and the rest is influenced by other variables that are not included in the analysis tables.

scholarly journals A Theory of Foreign Exchange Interventions

2021 ◽  
Author(s):  
Sebastián Fanelli ◽  
Ludwig Straub
Keyword(s):  
Exchange Rate ◽  
Central Bank ◽  
Interest Rates ◽  
Open Economy ◽  
Small Open Economy ◽  
Bond Markets ◽  
Pecuniary Externality ◽  
Optimal Intervention ◽  
The Exchange Rate ◽  
Intervention Policy

Abstract We study a real small open economy with two key ingredients (1) partial segmentation of home and foreign bond markets and (2) a pecuniary externality that makes the real exchange rate excessively volatile in response to capital flows. Partial segmentation implies that, by intervening in the bond markets, the central bank can affect the exchange rate and the spread between home- and foreign-bond yields. Such interventions allow the central bank to address the pecuniary externality, but they are also costly, as foreigners make carry trade profits. We analytically characterize the optimal intervention policy that solves this trade-off: (1) the optimal policy leans against the wind, stabilizing the exchange rate; (2) it involves smooth spreads but allows exchange rates to jump; (3) it partly relies on “forward guidance,” with non-zero interventions even after the shock has subsided; (4) it requires credibility, in that central banks do not intervene without commitment. Finally, we shed light on the global consequences of widespread interventions, using a multi-country extension of our model. We find that, left to themselves, countries over-accumulate reserves, reducing welfare and leading to inefficiently low world interest rates.

scholarly journals OPTIONS WRITTEN ON STOCKS WITH KNOWN DIVIDENDS

2004 ◽  
Vol 07 (07) ◽  
pp. 901-907
Author(s):  
ERIK EKSTRÖM ◽  
JOHAN TYSK
Keyword(s):  
Stock Price ◽  
Option Price ◽  
Option Prices ◽  
Strike Price ◽  
Call Options ◽  
Alternative Approach ◽  
Black Scholes ◽  
Market Practice ◽  
The Difference ◽  
Risk Free Rate

There are two common methods for pricing European call options on a stock with known dividends. The market practice is to use the Black–Scholes formula with the stock price reduced by the present value of the dividends. An alternative approach is to increase the strike price with the dividends compounded to expiry at the risk-free rate. These methods correspond to different stock price models and thus in general give different option prices. In the present paper we generalize these methods to time- and level-dependent volatilities and to arbitrary contract functions. We show, for convex contract functions and under very general conditions on the volatility, that the method which is market practice gives the lower option price. For call options and some other common contracts we find bounds for the difference between the two prices in the case of constant volatility.

Pricing currency options in the Heston/CIR double exponential jump-diffusion model

2017 ◽  
Vol 04 (01) ◽  
pp. 1750013 ◽  
Author(s):  
Rehez Ahlip ◽  
Laurence A. F. Park ◽  
Ante Prodan
Keyword(s):  
Exchange Rate ◽  
Interest Rates ◽  
Analytical Formula ◽  
Jump Diffusion ◽  
Stochastic Volatility Model ◽  
Currency Options ◽  
Volatility Model ◽  
Double Exponential ◽  
Jump Diffusion Model ◽  
The Exchange Rate

We examine currency options in the double exponential jump-diffusion version of the Heston stochastic volatility model for the exchange rate. We assume, in addition, that the domestic and foreign stochastic interest rates are governed by the CIR dynamics. The instantaneous volatility is correlated with the dynamics of the exchange rate return, whereas the domestic and foreign short-term rates are assumed to be independent of the dynamics of the exchange rate and its volatility. The main result furnishes a semi-analytical formula for the price of the European currency call option in the hybrid foreign exchange/interest rates model.

scholarly journals The Role of Exchange Rates in the Stock Price Development of Chemical Companies in the Visegrad Four Countries

2019 ◽  
Vol 22 (3) ◽  
pp. 117-129
Author(s):  
Jana Šimáková ◽  
Nikola Rusková
Keyword(s):  
Exchange Rate ◽  
Pharmaceutical Industry ◽  
Exchange Rates ◽  
Stock Prices ◽  
Stock Price ◽  
Stock Exchanges ◽  
The Exchange Rate ◽  
Chemical Companies ◽  
The Empirical Analysis

The aim of the paper is to evaluate the effect of exchange rates on the stock prices of companies in the chemical industry listed on the stock exchanges in the Visegrad Four countries. The empirical analysis was performed from September 2003 to June 2016 on companies from the petrochemical and pharmaceutical industry. The effect of the exchange rate on stock prices is analyzed using Jorion’s approach on monthly data. In contrast to the selected petrochemical companies, the pharmaceutical companies did not use any hedging instruments in the tested period. The effect of the exchange rate on the stock price was proved only in the case of companies from the pharmaceutical industry. This suggests that exchange rate risk could be eliminated by using hedging instruments.

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