Valuation of GNMA Mortgage-Backed Securities

GNMA mortgage-backed pass-through securities are supported by pools of amortizing, callable loans. Additionally, mortgagors often prepay their loans when the market interest rate is above the coupon rate of their loans. This paper develops a model for pricing GNMA securities and uses it to examine the impact of the amortization, call, and prepayment features on the prices, risks and expected returns of GNMA's. The amortization and prepayment features each have a positive effect on price, while the call feature has a negative impact. All three features reduce a GNMA security's interest rate risk and, consequently, its expected return.     

Market turbulence creates financing opportunity

The flight to high-quality assets resulting from Standard & Poor's downgrade of the U.S. government's credit rating has dropped the yield on U.S. Treasury securities as investors have sought refuge amid uncertain market conditions. Consequently, hospitals can now obtain mortgage insurance from the U.S. government to finance expansions and refinance their debt with GNMA securities at taxable interest rates that are often more favorable than tax-exempt bond fixed rates. Because GNMA certificates can be sold in a forward purchase transaction that locks in a fixed interest rate while avoiding payment of interest until construction funds are disbursed, they can help avoid the effects of negative arbitrage.     

Pricing interest rate options in a two-factor Cox-Ingersoll-Ross model of the term structure

Solutions are presented for prices on interest rate optionsin a two-factor version of the Cox-Ingersoll-Ross model of theterm structure. Specific solutions are developed for caps onfloating interest rates and for European options on discountbonds, coupon bonds, coupon bond futures, and Euro-dollar futures.The solutions for the options are expressed as multivariateintegrals, and we show how to reduce the calculations to univariatenumerical integrations, which can be calculated very quickly.The two-factor model provides more flexibility in fitting observedterm structures, and the fixed parameters of the model can beset to capture tie variability of the term structure over time.     

Trading activity in the equity market and its contingent claims: An empirical investigation

Little is known about the joint dynamics of volume across the various contingent claims on the equity market. We study the time-series of trading activity in the cash S&P 500 index and its derivatives (options, the legacy and E-mini futures contracts, and the ETF), and consider their dynamic relation with the macroeconomy, over more than 3000 trading days during 1997–2009. Legacy futures volume has trended downward while other series have trended upward. Total futures volume has increased, suggesting that the trading in the legacy contract has been at least partially supplanted by trading in the E-mini contract. All series are highly cross-correlated and jointly dependent. Signed and absolute trading activity in contingent claims (most prominently, options) predicts shifts in aggregate state variables such as the short interest rate, and the term and credit spreads, as well as signed and absolute returns around major macroeconomic announcements. Overall, consistent with the informational role of options, their volume innovations have the strongest forecasting ability for fluctuations in the macroeconomic environment.     

Expiration day effects of stock index derivatives in Germany

There is a significant increase in trading volume on quarterly futures expiration days in Germany. Delays in the opening for the majority of index stocks indicate that a large part of this extraordinary volume is indeed traded right at the opening of the market. an increase in trading activity is also observed over the 10-minute settlement period for index options. Volatility remains unchanged around the expiration of a futures contract. an increase is found for the 10-minute settlement period of DAX options. Return reversals as the measure for the economic costs of contract expirations are significantly higher when a futures contract expires at the open. When an option expires at the close no clear pattern for reversals can be found.     

Strategic trading behavior and price distortion in a manipulated market: anatomy of a squeeze

This paper investigates an attempted delivery squeeze in a bond futures contract traded in London. Using cash and futures trades of dealers and customers, we analyze their strategic trading behavior, price distortion, and learning in a market manipulation setting. We argue that marked differences in settlement failure penalties in the cash and futures markets create conditions that favor squeezes. We recommend that regulators require special flagging of forward term repurchase agreements on the key deliverables that span futures contract maturity dates, and that exchanges mark-to-market their contract specifications more frequently, or consider a cash-settled contract on a basket of bonds.     

Are They Hedgers or Speculators? Evidence from South Korea's Political Elections

This study uses a simultaneous equation model based on a three-stage least squares estimation to offer new empirical evidence that investors are hedgers or speculators during South Korea's elections. Major investor groups include individuals, securities companies, and foreigners in the Korea Composite Stock Price Index (KOSPI 200) market. The results show that cash market volatility and futures market activity have lead behaviors with one another. However, the contemporaneous variables of cash market volatility and options market activity have only unidirectional causality. Most investors will trade futures and options contracts for speculating within the entire sample period. During political election periods, investors prefer to trade options contracts for hedging rather than futures contracts.     

Changing the Size of a Futures Contract: Liquidity and Microstructure Effects

We analyze the relation between contract size and liquidity using data from the respecification of Sydney Future Exchange's (SFE) Share Price Index (SPI) and 90-day Bank Accepted Bill (BAB) futures contracts. Respecification of SPI and BAB contracts presents a unique opportunity to investigate the effects of a change in futures contract size. SFE decreased the size of SPI futures by a factor of four while increasing its minimum tick. The BAB contract was doubled in size with the minimum tick size left unchanged. We find, after controlling for market factors, that the respecification of the SPI futures resulted in higher trading volume, while that of BAB futures decreased trading volume. The results regarding spreads are ambiguous. Based on two cases investigated, we conclude that decreasing the futures contract size was effective in terms of enhancing liquidity while increasing the size resulted in a reduction in liquidity.     

Valuation and Optimal Exercise of the Wild Card Option in the Treasury Bond Futures Market

The Chicago Board of Trade Treasury Bond Futures Contract allows the short position several delivery options as to when and with which bond the contract will be settled. The timing option allows the short position to choose any business day in the delivery month to make delivery. In addition, the contract settlement price is locked in at 2:00 p .m . when the futures market closes, despite the facts that the short position need not declare an intent to settle the contract until 8:00 p .m . and that trading in Treasury bonds can occur all day in dealer markets. If bond prices change significantly between 2:00 and 8:00 p .m ., the short has the option of settling the contract at a favorable 2:00 p .m . price. This phenomenon, which recurs on every trading day of the delivery month, creates a sequence of 6-hour put options for the short position which has been dubbed the “wild card option.” This paper presents a valuation model for the wild card option and computes estimates of the value of that option, as well as rules for its optimal exercise.     

Volatility and trading activity following changes in the size of futures contracts

This paper has two purposes. First, we examine the relationship between daily price volatility and trading activity one year before and after a change in contract size by examining the results of contract splits in the Australian share price index futures and the U.K. FTSE-100 futures contracts and a reverse contract split in the Australian Bank Bill Acceptance futures contract. Second, we evaluate the effect of the change in contract size on the use of the particular futures market. We find that after a contract size change, the change in total trading frequency has the power to explain the change in daily price volatility. Specifically, after a contract split, trading frequency increased, resulting in increased daily price volatility, and vice versa after a reverse contract split. Most of the average trade size variable has an immaterial impact on price volatility. However, decomposing the total trading frequency into four trade size classes, we find that the trading frequency for small and large trade size categories are highly significant in explaining changes in daily price volatility after the contract splits. Finally, we find the change in contract size for each futures market was successful because within three years following the change, the adjusted trading volume and open interest surpassed the levels prior to the change and have continued to increase thereafter.     

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。     

Futures Options and the Volatility of Futures Prices

Assuming nonstochastic interest rates, European futures options are shown to be European options written on a particular asset referred to as a futures bond. Consequently, standard option pricing results may be invoked and standard option pricing techniques may be employed in the case of European futures options. Additional arbitrage restrictions on American futures options are derived. The efficiency of a number of futures option markets is examined. Assuming that at-the-money American futures options are priced accurately by Black's European futures option pricing model, the relationship between market participants' ex ante assessment of futures price volatility and the term to maturity of the underlying futures contract is also investigated empirically.     

中国股指期货合约乘数水平的研究

中国沪深500股指期货已经推出,其合约设计的合理与适用性则需要通过市场的实践来验证,在这其中,对合约乘数水平的检验至关重要,因为它与标的指数点住共同构成了合约的价值,进而直接影响到股指期货市场的稳定性。本文采用中国股指期贷合约推出后的真实交易数据、根据期货交易的一种风险控制理论“2N止损法”来测算投资者账户资产净值与头寸规模的绝对值,以此推导出现行合约乘数水平对投资者价格风险的影响程度,得出当前500元的合约乘数水平偏高的结论;并在此基础上,通过对中国股指期货市场的数据统计分析来检验以上结论,论证当前合约乘数水平的适用性,最后建议适当调整中国沪深500股指期货合约乘数的水平或尽快推出相应的小型合约。     

Taxing transactions in futures markets: Objectives and effects

In the last few years various legislative proposals have been made to impose a transaction or excise tax on securities and derivative market transactions. Although there have been considerable discussion and analysis of the wisdom of imposing such a tax on securities markets, there has been no analysis of the pros and cons of extending the tax to futures markets. This article attempts to fill this gap, first, by examining the various rationales advanced to support a tax on securities markets to determine their applicability to futures markets and, second, by analyzing the likely effects of the tax on the competitiveness and efficiency of futures markets. In addition, the revenue-raising potential of a tax on futures transactions is evaluated. I conclude that a tax on futures markets will not achieve any important social objective and will not generate much revenue.     

CONVERTIBLE SECURITIES: A TOLLBOX OF FLEXIBLE FINANCIAL INSTRUMENTS FOR CORPORATE ISSUERS

During the 1990s, convertible and equity-linked securities emerged as a major source of financing for U.S. corporate issuers. Issuance volume grew steadily throughout the decade and the secondary market value of U.S. convertible securities now exceeds $200 billion. In this overview of the market, the authors discuss the following: (1) the growth of issuance volume in the U.S. equity-linked market; (2) the basic characteristics of convertible securities; (3) convertible debt alternatives; and (4) convertible preferred alternatives.
As a result of the proliferation of new convertible structures, corporate issuers are now able to adjust coupon/dividend, conversion premium, and call protection in order to meet their tax, accounting, rating agency, and cost-of-capital objectives. Historically, the convertible new issue market has had a broad variety of issuers, spanning all industry sectors as well as both investment grade and high yield credits. But in the last two years, the most aggressive issuers have been technology-oriented companies, including telecommunications, Internet, hardware, software, and biotechnology concerns. Such technology-related issuers, which are often rated below investment grade and unable to secure straight debt capital, are generally in heavy-spending phases and view convertible bonds as a source of inexpensive financing. At the same time, investment-grade, "old-economy" issuers have continued to use convertible securities selectively, in most cases as cheap "quasi-equity" in the context of mergers and acquisitions, or as a tax-deferred strategy for selling cross-holdings of stock.     

Activity in futures: does underlying market size relate to futures trading volume?

This study investigates the determinants of trading volume in the futures markets and focuses on underlying market characteristics as an explanation for futures trading volume. Four major futures contracts traded on the Sydney Futures Exchange are investigated: the stock price index (SPI); the 90-day bank accepted bill (BAB); the 3-year bond; and the 10-year bond. An important outcome of this study is an identification of the fundamental drivers of trading volume in the futures markets, which have largely gone undocumented in prior research. We find evidence that futures trading volume is related to underlying market characteristics: the size of the Australian superannuation fund investments in equities (for the SPI), short term treasury notes (for the BAB), non-government bonds on issue (for the 3-year contract) and government bonds on issue (for the 10-year contract).     

ESTIMATING THE VALUE OF DELIVERY OPTIONS IN FUTURES CONTRACTS

We analyze the effect various delivery options embedded in commodity futures contracts have on the futures price. The two embedded options considered are the timing and location options. We show that early delivery is always optimal when only a timing option is present, but not so when joint options are present. The estimates of the combined options are much smaller than the comparable estimates for the timing option alone. The average value of the joint option is about 5% of the average basis on the first day of the maturity month. This suggests that joint options can increase deliverable supplies while potentially having only a small effect on basis behavior.     

Pricing a class of exotic commodity options in a multi-factor jump-diffusion model

In a recent paper, Crosby introduced a multi-factor jump-diffusion model which would allow futures (or forward) commodity prices to be modelled in a way which captured empirically observed features of the commodity and commodity options markets. However, the model focused on modelling a single individual underlying commodity. In this paper, we investigate an extension of this model which would allow the prices of multiple commodities to be modelled simultaneously in a simple but realistic fashion. We then price a class of simple exotic options whose payoff depends on the difference (or ratio) between the prices of two different commodities (for example, spread options), or between the prices of two different (i.e. with different tenors) futures contracts on the same underlying commodity, or between the prices of a single futures contract as observed at two different calendar times (for example, forward start or cliquet options). We show that it is possible, using a Fourier transform-based algorithm, to derive a single unifying form for the prices of all these aforementioned exotic options and some of their generalizations. Although we focus on pricing options within the model of Crosby, most of our results would be applicable to other models where the relevant ‘extended’ characteristic function is available in analytical form.     

Prepayment and the Valuation of Mortgage-Backed Securities

This paper puts forward a valuation framework for mortgage-backed securities. Rather than imposing an optimal, value-minimizing call condition, we assume that at each point in time there exists a probability of prepaying; this conditional probability depends upon the prevailing state of the economy. To implement our valuation procedure, we use maximum-likelihood techniques to estimate a prepayment function in light of recent aggregate GNMA prepayment experience. By integrating this empirical prepayment function into our valuation framework, we provide a complete model to value mortgage-backed securities.     

Convertible Debt Issuance and Market Completeness

Recent empirical evidence on option listings supports the notion that equity options help to span the market. This paper investigates the role of convertible debt in market completion. To the extent that the warrant portion of convertible instruments is similar to a call option, the securities can provide payoffs in states of nature that were previously unspanned. Stockholders of firms without listed options or pre-existing warrant-related securities suffer less severe wealth declines around convertible offerings than do owners of firms with contingent claims on their stock. The results suggest that, particularly before the rise of options on index futures, convertible debt played a market-spanning role similar to that of equity options.