The Costs of Implementing a Unilateral One-Sided Exchange Rate Target Zone

In the aftermath of the recent financial crisis, the central banks of small open economies such as the Czech National Bank and the Swiss National Bank (SNB) both implemented a unilateral one-sided exchange rate target zone vis-a-vis the euro currency to counteract deflationary pressures. Recently, the SNB abandoned its minimum exchange rate regime of CHF 1.20 per euro, arguing that after having analyzed the costs and benefits of this non-standard exchange rate policy measure, it was no longer sustainable. This paper proposes a model that allows central banks to estimate ex-ante the costs of implementing and maintaining a unilateral one-sided target zone and to monitor these costs during the period where it is enforced. The model also offers central banks a tool to identify the right timing for the discontinuation of a minimum exchange rate regime. An empirical application to the Swiss case shows the actual size of these costs and reveals that these costs would have been substantial without the abandonment of the minimum exchange rate regime, which accords with the official statements of the SNB

On the valuation of fader and discrete barrier options in Heston's stochastic volatility model

We focus on closed-form option pricing in Hestons stochastic volatility model, where closedform formulas exist only for a few option types. Most of these closed-form solutions are constructed from characteristic functions. We follow this closed-form approach and derive multivariate characteristic functions depending on at least two spot values for different points in time. The derived characteristic functions are used as building blocks to set up (semi-) analytical pricing formulas for exotic options with payoffs depending on finitely many spot values such as fader options and discretely monitored barrier options. We compare our result with different numerical methods and examine the computational accuracy