Ivanov, Sergei (2013): Interest rate paradox.
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Abstract
System’s properties are not always determined by properties of its elements. In this paper was made an attempt to analyze securities not isolated, but with respect to environment, i.e. participants’ operations on a market, which results depend on securities. It was shown that risk-neutral probability density, implied in prices, depends on these operations. No arbitrage conditions were developed for this case. Using them it was shown that there are operations that make function that must be a probability density function not a probability density function. These operations are possible if there are assets with positive price and non-zero interest rate. Arbitrage is possible in this case and such market is inefficient.
Item Type: | MPRA Paper |
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Original Title: | Interest rate paradox |
Language: | English |
Keywords: | market efficiency, probability density, interest rate, arbitrage, efficiency conditions |
Subjects: | G - Financial Economics > G1 - General Financial Markets > G10 - General G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates |
Item ID: | 48296 |
Depositing User: | Mr. Sergei Ivanov |
Date Deposited: | 15 Jul 2013 13:34 |
Last Modified: | 30 Sep 2019 00:55 |
References: | Black, F., Scholes M. (1973). The Pricing of Options and Corporate Liabilities. Journal of Political Economy 81 (3): 637–654. Cox, J. and Ross S. (1976). The valuations of options for alternative stochastic processes. Journal of Financial Economics 3: 145-166. Fama, E. (1998). Market Efficiency, Long-Term Returns and Behavioural Finance. Journal of Financial Economics 49: 283–306. Harrison J.M. and Kreps D.M. (1979). Martingales and arbitrage in multiperiod arbitrage markets. Journal of Economic Theory 20: 381-408. Harrison, J. M and Pliska, S. R. (1981). Martingales and Stochastic integrals in the theory of continuous trading. Stochastic Processes and their Applications 11 (3): 215–260. Jamshidian, F. (1989). An Exact Bond Option Pricing Formula. The Journal of Finance 44: 205–209. Merton, R. C. (1973). Theory of Rational Option Pricing. Bell Journal of Economics and Management Science 4 (1): 141–183. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/48296 |
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Interest rate paradox. (deposited 21 Jun 2013 16:38)
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Interest rate paradox. (deposited 23 Jun 2013 19:56)
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Interest rate paradox. (deposited 26 Jun 2013 09:44)
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Interest rate paradox. (deposited 26 Jun 2013 09:44)
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Interest rate paradox. (deposited 23 Jun 2013 19:56)