Discount or premium? Pricing of structured products: An analysis of Chinese market

Structured products combine elementary instruments from the spot and derivative markets. The existing evidence on mature markets shows that structured products are commonly charged with large implicit premiums compared to their theoretical values. However, this paper finds that structured products in Chinese market are, on average, priced closely to their theoretical values, which no longer favors the issuing institution. This is reasonable as the issuing banks' market power in China is relatively low compared to those in mature markets, given three characteristics in Chinese market (the intense competition from Internet finance, strict short-sell constraints, and the lack of secondary market as well as redeemable claims). Specifically, based on a database including 126 structured products with various underlying assets and durations from two main structured products issuing banks in China, this paper finds two more interesting results. First, structured products with call option and double option components are generally issued at a small discount, while most structured products with put options components are issued at a small premium. Second, a significantly negative correlation is also found between implicit premium and duration, indicating that the implicit premium rates of short-term products are higher than those of long-term products. Overall, these findings suggest that issuing banks' market power is weakened by the competitive market and incomplete market structure.     

Are structured products ‘fairly’ priced? An analysis of the German market for equity-linked instruments

Based on a unique data set, this paper examines the pricing of equity-linked structured products in the German market. The daily closing prices of a large variety of structured products are compared to theoretical values derived from the prices of options traded on the Eurex (European Exchange). For the majority of products, the study reveals large implicit premiums charged by the issuing banks in the primary market. A set of driving factors behind the issuers’ pricing policies is identified, for example, underlying and type of implicit derivative(s). For the secondary market, the product life cycle is found to be an important pricing parameter.     

A reduced PDE method for European option pricing under multi-scale,multi-factor stochastic volatility

The number of tailor-made hybrid structured products has risen more prominently to fit each investor’s preferences and requirements as they become more diversified. The structured products entail synthetic derivatives such as combinations of bonds and/or stocks conditional on how they are backed up by underlying securities, stochastic volatility, stochastic interest rates or exchanges rates. The complexity of these multi-asset structures yields lots of difficulties of pricing the products. Because of the complexity, Monte-Carlo simulation is a possible choice to price them but it may not produce stable Greeks leading to a trouble in hedging against risks. In this light, it is desirable to use partial differential equations with relevant analytic and numerical techniques. Even if the partial differential equation method would generate stable security prices and Greeks for single asset options, however, it may result in the curse of dimensionality when pricing multi-asset derivatives. In this study, we make the best use of multi-scale nature of stochastic volatility to lift the curse of dimensionality for up to three asset cases. Also, we present a transformation formula by which the pricing group parameters required for the multi-asset options in illiquid market can be calculated from the underlying market parameters.     

Divergence in credit ratings

During the recent credit crisis credit rating agencies (CRAs) became increasingly lax in their rating of structured products, yet increasingly stringent in their rating of corporate bonds. We examine a model in which a CRA operates in both the market for structured products and for corporate debt, and shares a common reputation across the two markets. We find that, as a CRA’s reputation becomes good enough, it can be optimal for it to inflate its ratings with probability one in the structured products market, but inflate its ratings with probability zero in the corporate bond market.     

Time‐changed Lévy jump processes with GARCH model on reverse convertibles

For decades, financial institutions have been very motivated in creating structured high-yield financial products, especially in the economic environment of lower interest rates. Reverse convertible notes (RCNs) are the type of financial instruments, which in recent years first in Europe and then in the US – have become highly desirable financial structured products. They are complex financial structured products because they are neither plain bonds nor stocks. Instead, they are structured products embedding equity options, which involve a significant amount of asset returns' uncertainty. Given this fact, pricing of reverse convertible notes becomes a really big challenge, where both the general Black–Scholes option pricing model and the compound Poisson jump model which are designed to catch large crashes, are not suitable in valuing these kinds of products. In this paper, we propose a new asset-pricing framework for reverse convertible notes by extending the pure Brownian increments to Lévy jump risks for the underlying stock return movements. Our framework deals with time-changing volatilities of stock options with Lévy jump processes by considering the stocks' infinite-jump possibilities. We then use a discrete-time GARCH with time-changed dynamics Lévy Jump processes in order to derive the assets' valuations. The results from our new model are close to the market's valuations, especially with the normal-inverse-Gaussian model of the Lévy jump family.     

The volatility target effect in structured investment products with capital protection

Designing a structured investment product with capital protection which would be characterized by high capital protection level as well as high equity participation rate is a challenging task in the current market environment. Low interest rates and high volatility levels negatively affect the above key parameters of such investment products. One way to increase the participation rate of a structured investment product with a fixed capital protection level is to use a volatility target (VolTarget) strategy as an underlying asset for a financial option embedded in such a product. We introduce an extended VolTarget mechanism with interest rate dependent volatility target levels and provide a detailed comparative numerical study of European options linked to VolTarget strategies within a hybrid Heston–Vasi?ec model with stochastic volatility and stochastic interest rate.     

结构性金融衍生产品之探讨

结构性金融衍生产品是把固定收益金融产品和金融衍生品进行组合设计出的一种新型金融产品,种类繁多、结构多样。在美洲、欧洲和亚洲都有非常大的市场规模和繁多的产品种类。结构性金融衍生产品增加了资本市场的完备性、深化了市场的风险配置功能、增强了资本的流动性以及提高了金融衍生市场的信用水平。在我国结构性金融衍生产品首先以外币结构性存款的形式出现,自2003年以来得到快速发展。借鉴国际经验,应在鼓励结构性衍生产品发展的同时,着重加速金融衍生品交易所市场的发展。     

The pricing of leverage products: An empirical investigation of the German market for ‘long’ and ‘short’ stock index certificates

This paper describes the first thorough empirical analysis of the pricing of leverage products in the German retail market. These mainly exchange-traded products with an impressive trading volume are frequently advertised as long and short futures contracts, although they are theoretically equivalent to one-sided barrier options. Issuers’ daily quotes for stock index products are compared to (i) theoretical values derived from the prices of Eurex options and to (ii) boundaries obtained from semi-static superhedging strategies. For the vast majority of products, bid and ask quotes significantly exceed both theoretical values and upper hedging boundaries, thus providing almost risk-free profits for the issuers.     

全球股指期货与期权市场的发展动向及启示

本文通过对近年来全球股指期货及期权场内交易发展态势及动向分析,指出全球股指期货及期权呈现出交易量稳居各类产品之首、交易高度集中于几家交易所的几种产品、中国概念股指备受关注、创新步伐不断加快等四大趋势,启示我们适时推出股指期货,研究股指期权,不但可以拓展期货市场发展空间,推动境内资本市场的健康发展,建立完善的股指市场体系,而且是股票类衍生品创新的基础。     

Valuación de un producto estructurado de compra sobre el SX5E cuando la incertidumbre de los rendimientos está modelada con procesos log-estables

We report the participation level, we pricing a first generation's European call options on the Eurostoxx structured product, when returns’ uncertainty is modeled by log-stable processes, we present the basic statistics of the index's returns, we estimate the α-estable parameters, and we compare the structured products pricing by the both log-stable and log-Gaussian models using inputs of the debt markets. We conclude that investors get higher returns than debt markets using both models and returns’ differences depend of the participation level and the maturity.     

Pricing of a structured product on the SX5E when the uncertainty of returns is modeled as a log-stable process

This work presents the participation factor and the valuation of a first-generation structured product with European call options on the Eurostoxx, when the uncertainty of the yields is modeled through log-stable processes. The basic statistics of the index yields are also exposed, the α-stable parameters are estimated, and the valuation of the of the structured models is compared through the log-stable and log-Gaussian models using inputs from the bond markets; concluding that investors obtain higher yields than those of the bond market through both models, and that the differences of the yields depend on the participation factor and on the value of the index at the time of liquidation.     

结构化产品收益分配及投资策略的优化——基于结构化定增劣后级投资者视角

依据A公司投资伊利股份定向增发项目的样本数据,运用蒙特卡罗模拟方法,考量优先级收益分配及投资策略的改进效果.结果发现:改进后的私募结构化产品收益分配更为合理,具有更优的风险收益配置,从而,揭示市场价格波动在结构化产品内部的传递过程,劣后级资金的收益有相当比例是优先级资金收益的让渡.     

Co-monotonicity of optimal investments and the design of structured financial products

We prove that, under very weak conditions, optimal financial products on complete markets are co-monotone with the reversed state price density. Optimality is meant in the sense of the maximization of an arbitrary preference model, e.g., expected utility theory or prospect theory. The proof is based on a result from transport theory. We apply the general result to specific situations, in particular the case of a market described by the Capital Asset Pricing Model or the Black–Scholes model, where we derive a generalization of the two-fund-separation theorem and give an extension to APT factor models and structured products with several underlyings. We use our results to derive a new approach to optimization in wealth management, based on a direct optimization of the return distribution of the portfolio. In particular, we show that optimal products can (essentially) be written as monotonic functions of the market return. We provide existence and nonexistence results for optimal products in this framework. Finally we apply our results to the study of bonus certificates, show that they are not optimal, and construct a cheaper product yielding the same return distribution.     

The options market response to accounting earnings announcements

We examine the reaction of the equity options market to accounting earnings announcements over the period 1996–2008 using changes in implied volatility to measure the options market response to earnings news. We find that positive earnings surprises and positive profit announcements produce a larger uncertainty resolution than negative earnings surprises and loss announcements. We demonstrate an inverse relation between the change in implied volatility and earnings news in a three-day window immediately after an earnings announcement. We refer to the magnitude of this relation as the ‘options market earnings response coefficient’. This ‘options market earnings response coefficient’ is stronger for both bad news announcements and positive profit announcements. We do not find any significant relation between changes in implied volatility and earnings news in the pre- or post-announcement periods. We conclude that the options market efficiently absorbs earnings information.     

Expensive martingales

We characterize strictly arbitrage-free markets of European options where only a discrete set of options is traded. We then construct martingales which reprice all given options and which are ‘most expensive’ among all martingales with this property. We also present algorithms to adjust real-life market data and to construct expensive martingales while taking into account additional ‘weak’ information: estimated prices of more exotic products such as, for example, forward started options.     

Informed trading under different market conditions and moneyness: Evidence from TXO options

We examine the informational role of options across exercise prices under different market conditions. We analyze the influence of options' leverage effect, and market cycles on the cause–effect relation between stock and options markets based on an emerging options market—the Taiwan stock index options market. When aggregating market data irrespective of market cycles and options moneyness, we find that the equity market leads the options market. However, as we control options' moneyness and market cycles, we find that out-of-the-money options lead the stock market by up to 90 min with more pronounced results in downtrends and periods of political tension. Our findings suggest that the informational role of options is interacted with leverage effect and market conditions.     

Managerial flexibility and the wealth effect of new product introductions

This paper examines whether investors recognize the value of managerial flexibilities, as proxied by real options, in their valuation of new product introductions. We define a firm’s real options portfolio as the difference between the firm’s market value and its assets in place. A firm’s strategic flexibilities are modeled as the ratio of its real option portfolio to its book value. Using a sample of new product introductions from 1998–2007, we find our real options measure is positively related to announcement period abnormal returns. This result holds after we control for other variables known to be correlated with the announcement effect in previous studies. Our result is robust to alternative measures of real options based on analysts’ earnings expectations and whether a firm has one or multiple segments. In summary, our results suggest that a firm’s perceived strategic and operating flexibilities are an important factor in the valuation of new products.     

Pricing,issuance volume,and design of innovative securities: The role of investor information

This study investigates the role of asymmetric information for the pricing, issuance volume, and design of innovative securities. By analyzing the information that structured product issuers provide to the investors of those products, we can identify specific sources of asymmetric information between the issuers and investors in this market. We show that issuers exploit this information friction to offer products to investors that appear more profitable for the issuer. In addition, we find that the friction induces issuers to design products with higher information asymmetry. Our results suggest that product issuers’ behavior increases information frictions in the financial system.     

Informed Trading around Merger Announcements: An Empirical Test Using Transaction Volume and Open Interest in Options Market

This paper provides empirical evidence on the level of trading activity in the stock options market prior to the announcement of a merger or an acquisition. Our analysis shows that there is a significant increase in the trading activity of call and put options for companies involved in a takeover prior to the rumor of an acquisition or merger. This result is robust to both the volume of option contracts traded and the open interest. The increased trading suggests that there is a significant level of informed trading in the options market prior to the announcement of a corporate event. In addition, abnormal trading activity in the options market appears to lead abnormal trading volume in the equity market. This finding supports the hypothesis that the options market plays an important role in price discovery.     

Can utility optimization explain the demand for structured investment products?

In this paper, we first show that for classical rational investors with correct beliefs and constant absolute or constant relative risk aversion, the utility gains from structured products over and above a portfolio consisting of the risk-free asset and the market portfolio are typically much smaller than their fees. This result holds irrespectively of whether the investors can continuously trade the risk-free asset and the market portfolio at no costs or whether they can just buy the assets and hold them to maturity of the structured product. However, when considering behavioural utility functions, such as prospect theory, or investors with incorrect beliefs (arising from probability weighting or probability misestimation), the utility gain can be sizable.