ASYMPTOTIC ANALYSIS FOR FOREIGN EXCHANGE DERIVATIVES WITH STOCHASTIC VOLATILITY

2010 ◽  
Vol 13 (07) ◽  
pp. 1131-1147 ◽  
Author(s):  
CHARLES CUTHBERTSON ◽  
GRIGORIOS PAVLIOTIS ◽  
AVRAAM RAFAILIDIS ◽  
PETTER WIBERG

We consider models for the valuation of derivative securities that depend on foreign exchange rates. We derive partial differential equations for option prices in an arbitrage-free market with stochastic volatility. By use of standard techniques, and under the assumption of fast mean reversion for the volatility, these equations can be solved asymptotically. The analysis goes further to consider specific examples for a number of options, and to a considerable degree of complexity.

2016 ◽  
Vol 20 (4) ◽  
Author(s):  
Mark J. Jensen

AbstractEmpirical volatility studies have discovered nonstationary, long-memory dynamics in the volatility of the stock market and foreign exchange rates. This highly persistent, infinite variance, but still mean reverting, behavior is commonly found with nonparametric estimates of the fractional differencing parameter,


1951 ◽  
Vol 5 (2) ◽  
pp. 380-382

In the period from November 20, 1950, to March 20, 1951, the Fund was consulted in connection with the modification of foreign exchange systems by three of its member governments. On November 20 the Fund announced its agreement to certain modifications proposed by the government of Iran. Iran was to continue to retain in effect three foreign exchange rates: 1) an official rate, 32.5 rials to the dollar, for governmental transactions and transactions with the Anglo-Iranian Oil Company; 2) a certificate rate, 40 rials to the dollar, for essential imports; and 3) a third rate for exports other than oil and for nonessential imports. The latter rate, which formerly had been permitted to fluctuate in a free market, was fixed at 48.75 rials to the dollar and all transactions were to be conducted through official banks. The Fund and the Iranian government were to continue consultations towards the eventual unification of the Iranian foreign exchange system. Agreement was announced on March 3 to the proposed devaluation of Paraguayan currency from 3.09 to 6 guaranies to the dollar. Consultations between Paraguay and the Fund had also been held, according to the announcement, on the modification of the country's multiple currency system. A further announcement of March 20 revealed that Columbia had proposed to the Fund measures to simplify its foreign exchange system and reduce its restrictions on imports. The new system, to which the Fund gave its approval, would not involve a change in Columbia's par value as fixed by the Fund. A new exchange rate of 2.50 pesos to the dollar was established for all foreign exchange payments and all foreign exchange proceeds other than those for coffee exports. For a period of not less than six months, 25 percent of the coffee export exchange would operate at the new rate and the remaining 75 percent would operate at a buying rate of 1.95 pesos to the dollar. All licensing restrictions on imports would be removed, with the exception of a prohibited list of specified luxury products, and the differential exchange taxes, other than a uniform stamp tax, and all mixed rate arrangements would be abolished. The Fund announced on March 19 the establishment of the initial par value for the Pakistani rupee at 3.30852 rupees to the dollar, the rate proposed by the government of Pakistan.


2014 ◽  
pp. 74-89 ◽  
Author(s):  
Vinh Vo Xuan

This paper investigates factors affecting Vietnam’s stock prices including US stock prices, foreign exchange rates, gold prices and crude oil prices. Using the daily data from 2005 to 2012, the results indicate that Vietnam’s stock prices are influenced by crude oil prices. In addition, Vietnam’s stock prices are also affected significantly by US stock prices, and foreign exchange rates over the period before the 2008 Global Financial Crisis. There is evidence that Vietnam’s stock prices are highly correlated with US stock prices, foreign exchange rates and gold prices for the same period. Furthermore, Vietnam’s stock prices were cointegrated with US stock prices both before and after the crisis, and with foreign exchange rates, gold prices and crude oil prices only during and after the crisis.


2010 ◽  
Vol 42 (11) ◽  
pp. 1437-1445 ◽  
Author(s):  
Jinliang Li ◽  
Chihwa Kao ◽  
Wei David Zhang

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