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This book provides a first, basic introduction into the valuation of financial options via the numerical solution of partial differential equations (PDEs). It provides readers with an easily accessible text explaining main concepts, models, methods and results that arise in this approach. In keeping with the series style, emphasis is placed on intuition as opposed to full rigor, and a relatively basic understanding of mathematics is sufficient. The book provides a wealth of examples, and ample numerical experiments are givento illustrate the theory. The main focus is on one-dimensional financial PDEs, notably the Black-Scholes equation. The book concludes with a detailed discussion of the important step towards two-dimensional PDEs in finance.
How is finance related to economic processes, and why should it be viewed as a public good requiring policy action? This book provides an answer. The book develops a practical framework for safeguarding financial stability, which encompasses both prevention and resolution of problems. It also examines on-going and future challenges to financial stability posed by globalization, a growing reliance on derivatives and their markets, and the capital market activities of insurers and reinsurers.
Russia is one of the world's largest growing economies. With this exciting new growth and development, there is a wealth of knowledge to be discovered from the strategies and models being used and created throughout Russia's economy.
What is the role of central banks in ensuring financial stability? This paper addresses this controversial subject, in part by drawing on the experiences in Europe, Japan, and the United States, and by examining four questions. What is meant by financial stability? Do central banks have a natural role in ensuring financial stability? What does a central bank need to execute this role effectively? How far have central banks actually gone in safeguarding financial stability? The experience drawn on in the paper suggest that central banks: have a natural role to play; at times may require supervisory information to execute this natural role; and have incurred risks to their balance sheets to ensure financial stability.
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The April 2014 Global Financial Stability Report finds that, despite much progress, the global financial system remains in a transitional period with stability conditions far from normal. Advanced and emerging market economies alike need to make a successful shift from liquidity- to growth-driven markets, which will require a number of elements, including a normalization of U.S. monetary policy; financial rebalancing in emerging markets; further progress in the euro area integration; and continued implementation of “Abenomics” in Japan. This report also examines how changes in the investor base and financial deepening affect emerging market economies as well as looks at the issue of banks considered too important to fail, providing new estimates of the implicit funding subsidy these banks receive.