Structured Certificates of Deposit: Introduction and Valuation
By: Geng Deng, Tim Dulaney, Tim Husson, and Craig McCann (Jul 2013)
Published in the Financial Services Review, Volume 23, Number 3, 2014.
This paper examines the properties and valuation of market-linked certificates of deposit (structured CDs). Structured CDs are similar to structured products -- debt securities with payoffs linked to market indexes -- but while structured products have garnered significant interest in both the financial media and in the academic literature, structured CDs have received relatively little attention. We review the market for structured CDs in the United States and provide valuations for several common product types. Using our methodology, we find significant mispricing of several common types of structured CDs across multiple issuers, which is similar in magnitude to the well-documented mispricing in the structured products market. In particular, we estimate that structured CDs are typically worth approximately 93% of the value of a contemporaneously issued fixed-rate CD. These results suggest that unsophisticated investors may not understand the value, risks, and subtleties of these ostensibly conservative investments.
Using EMMA to Assess Municipal Bond Markups
By: Geng Deng and Craig McCann (Jun 2013)
Published in the PIABA Bar Journal, 20 (1): 99-122, 2013.
In the past, assessment of the reasonableness of municipal bond markups depended on anecdotal recollection of markups and subjective judgment about what was customary. Interested parties including regulators can now use the MSRB's EMMA service to determine the markups charged on a set of transactions and can make precise and accurate statements about how unusual such markups were, controlling for many factors thought to effect the reasonableness of markups.
We analyze over 13.7 million customer trades, totaling $3.9 trillion in par amount traded in fixed-coupon, long-term municipal bonds. We estimate that investors were charged $10.65 billion in municipal bond markups between 2005 and 2013 in our sample - $6.45 billion in trades on which excessive markups appear to have been charged.
Our sample includes about 30 percent of the fixed-coupon municipal bond trades and so the total markups charged from 2005 to 2013 is likely to be at least $20 billion. $10 billion of this $20 billion in markups were charged on trades on which excessive markups appear to have been charged. These markups are a transfer from taxpayers and investors to the brokerage industry and could be largely eliminated with simple, low-cost improvements in disclosure.
The Rise and Fall of Apple-linked Structured Products
By: Geng Deng, Tim Dulaney, Craig McCann, and Mike Yan (Jan 2013)
The rise in Apple's market capitalization in 2012 coincided with a dramatic increase in single-observation reverse convertibles, reverse convertibles and autocallable notes linked to Apple's stock price. These notes all transfer the downside risk of owning Apple to investors but cap the upside at somewhat more than corporate bond yields. Issuers use individual stocks like Apple as the reference obligations for reverse convertible structured products because investors underestimate the risk of suffering losses when the individual stock's price falls.
The decline in Apple's stock price from over $700 in September 2012 to $450 in January 2013 has resulted in over one hundred million dollars of losses in Apple-linked structured products. In this paper, we summarize our published reports on over 650 Apple-linked structured products and identify the impact of Apple's recent stock price decline on investors in these structured products.
Dual Directional Structured Products
By: Geng Deng, Tim Dulaney, Tim Husson, and Craig McCann (Jan 2013)
Published in the Journal of Derivatives & Hedge Funds, (5 June 2014).
We analyze and value dual directional structured products - or simply dual directionals
(DDs) - which have been issued in large amounts since the beginning of 2012. DD's evolved
out of another type of structured product called absolute return barrier notes (ARBNs);
however, DD's lack principal protection and have different embedded options positions, which
have yet to be described in the literature. We find that DDs can be broadly organized into
two categories: single observation dual directionals (SODDs) and knock-out dual directionals
(KODDs). We determine the appropriate option decomposition for these categories and
provide analytical formulas for their valuation. We confirm our analytic results using Monte
Carlo simulation and use both techniques to value a large sample of DDs registered with the
Securities and Exchange Commission up to December 2012. Our results indicate that like
many types of structured products, DDs tend to be priced at a significant premium to present
value across issuers and underlying securities and that the present value of the decomposition
is smaller than the face value net of commissions. We find that DDs with embedded leverage
or a single observation feature tend to be worth less than products either without leverage
or with a knock-out option.
Are VIX Futures ETPs Effective Hedges?
By: Geng Deng, Craig McCann, and Olivia Wang (Jun 2012)
Published in The Journal of Index Investing, Winter 2012, Vol. 3, No. 3, pp. 35-48.
Exchange-traded products (ETPs) linked to futures contracts on the CBOE S&P 500 Volatility Index (VIX) have grown in volume and assets under management in recent years, in part because of their perceived potential to hedge against stock market losses.
In this paper we study whether VIX-related ETPs can effectively hedge a portfolio of stocks. We find that while the VIX increases when large stock market losses occur, ETPs which track short term VIX futures indices are not effective hedges for stock portfolios because of the negative roll yield accumulated by such futures-based ETPs. ETPs which track medium term VIX futures indices suffer less from negative roll yield and thus appear somewhat better hedges for stock portfolios. Our findings cast doubt on the potential diversification benefit from holding ETPs linked to VIX futures contracts.
We also study the effectiveness of VIX ETPs in hedging Leveraged ETFs (LETFs) in which rebalancing effects lead to significant losses for buy-and-hold investors during periods of high volatility. We find that VIX futures ETPs are usually not effective hedges for LETFs.
Isolating the Effect of Day-Count Conventions
By: Geng Deng, Tim Dulaney, Tim Husson, and Craig McCann (May 2012)
Day-count conventions are a ubiquitous but often overlooked aspect of interest-bearing investments. While many market traded securities have adopted fixed or standard conventions, over-the-counter agreements such as interest rate swaps can and do use a wide variety of conventions, and many investors may not be aware of the effects of this choice on their future cash flows. Here, we show that the choice of day-count convention can have a surprisingly large effect on the market value of swap agreements. We highlight the importance of matching day-count conventions on obligations and accompanying swap agreements, and demonstrate various factors which influence the magnitude of day-count convention effects. As interest rate swaps are very common amongst municipal and other institutional investors, we urge investors to thoroughly understand these and other `fine print' terms in any potential agreements. In particular, we highlight the ability of financial intermediaries to effectively increase their fees substantially through their choice of day-count conventions.
Optimizing Portfolio Liquidation Under Risk-Based Margin Requirements
By: Geng Deng, Tim Dulaney, and Craig McCann (Apr 2012)
Published in the Journal of Finance and Investment Analysis, 2(1): 121-153, 2013.
This paper addresses a situation wherein a retail investor must liquidate positions in her portfolio -- consisting of assets and European options on those assets -- to meet a margin call and wishes to do so with the least disruption to her portfolio. We address the problem by first generalizing the usual risk-based haircuts methodology of determining the portfolio margin requirement given the current positions of a portfolio. We derive first and second-order analytic estimates for the margin requirements given the positions. Given this generalization, we determine the liquidation strategy that minimizes the total positions liquidated and meets the margin requirement. We implement the strategy on example portfolios and show advantages over traditional piece-wise liquidation approaches. The analytic approach outlined here is more general than the margin context discussed. Our approach is applicable whenever an investor is attempting to maximize the impact of their capital subject to leverage limits and so has obviously applications to the hedge fund industry.
Valuing Partial Interests in Trusts
By: Geng Deng, Tim Husson, and Craig McCann (Dec 2011)
The financial interests of a trust's beneficiaries are often diametrically opposed and conflict among trust beneficiaries is common. Although applicable law requires that trustees adhere to lofty standards of 'good faith' and 'fair dealing' they must make tangible, specific decisions, and sometimes under circumstances in which the settlor's expectations regarding investments and distributions as set forth in the trust document are unclear. Traditional methods for valuing partial interests in trusts offer insufficient guidance to courts in assessing the prudent investor standard, as they often disregard many of the important factors which go into investment decisions--notably, the allocations to different asset classes.
In this paper, we develop a valuation methodology based on Monte Carlo Simulation techniques which allows for economically feasible ex ante valuation of partial interests in trusts. The MCS technique is widely used in modern finance and economics, and is especially useful for valuing partial interests because it can incorporate mortality risk, portfolio asset allocation, varying distributions and the discretionary sale of the trust's assets to fund distributions. We explain how the MCS method can incorporate a variety of assumptions about the income beneficiary's mortality and the trustee's decisions, and show how these factors affect the valuation of partial interests.
The Properties of Short Term Investing in Leveraged ETFs
By: Geng Deng and Craig McCann (Jul 2011)
Published in the Journal of Financial Transformation, Fall 2012, Journal 35.
The daily returns on leveraged and inverse-leveraged exchange-traded funds (LETFs) are a multiple of the daily returns of a reference index. Because LETFs rebalance their leverage daily, their holding period returns can deviate substantially from the returns of a leveraged investment. While about half of LETF investors hold their investments for less than a month, the standard analysis of these investments uses a continuous time framework that is not appropriate for analyzing short holding periods, so the true effect of this daily rebalancing has not been properly ascertained.
In this paper, we model tracking errors of LETFs compared to a leveraged investment in discrete time. For a period lasting a month or less, the continuous time model predicts tracking errors to be small. However, we find that in a discrete time model, daily portfolio rebalancing introduces tracking errors that are not captured in the continuous time framework. On average, portfolio rebalancing accounts for approximately 25% of the total tracking error, and in certain scenarios the rebalancing tracking error could rise to as high as 5% in 3 weeks and can dominate the total tracking error. Since investors in LETFs have short average holding periods and high average turnover ratios, the effects of portfolio rebalancing must be accurately accounted for in the analysis of LETF returns.
Modeling Autocallable Structured Products
By: Geng Deng, Joshua Mallett, and Craig McCann (Mar 2011)
Published in the Journal of Derivatives & Hedge Funds 17, 326-340 (November 2011).
Since first introduced in 2003, the number of autocallable structured products in the U.S. has increased exponentially. The autocall feature immediately converts the product if the reference asset's value rises above a pre-specified call price. Because an autocallable structured product matures immediately if it is called, the autocall feature reduces the product's duration and expected maturity.
In this paper, we present a flexible Partial Differential Equation (PDE) framework to model autocallable structured products. Our framework allows for products with either discrete or continuous autocall dates. We value the autocallable structured products with discrete autocall dates using the finite difference method, and the products with continuous autocall dates using a closed-form solution. In addition, we estimate the probabilities of an autocallable structured-product being called on each call date. We demonstrate our models by valuing a popular autocallable product and quantify the cost to the investor of adding this feature to a structured product.
