Performance Measurement of Bond Strategies and Management

¶ … structure' theories by making use of a new method. To achieve this, the case study shapes strategies of bond investment centered on diverse term-structure models to decide the best performing strategy. When making use of a "Manipulation-Proof Performance Measure," the case study attains the finding that in agreement with preceding literature, a pro-active method that is grounded on time-changing term premiums may create the foundation of an effective bond strategy, which outdoes an impartial anticipation inspired passive bond "buy and hold" tactic. Nonetheless, this turns out to be accurate for a previous spell when the literature primarily made this assertion. Later on, the study discovers that the passive "buy and hold" method is considerably superior in comparison to all active bond strategies. Generally, it seems that the impartial expectation model has been the most probable justification of the behavior of the term structure for the duration of more current periods. This is as, financially and statistically, substantial higher performance might not be realized if one utilizes data from the "forward-curve" or the "term-structure" to guide him or her in regulating bond portfolios in reaction to term premium variations (Gonzalez, Skinner, & Agyei-Ampomah, 2013).

Introduction

In the contemporary times, findings have suggested that actively managing portfolios of bond by making use of 'forward curve" data or using the interest rates' "term structure" can bring about a greater and better level of performance. Research studies undertaken by Kessler and Scherer (2009) and Cochrane and Piazzesi (2005) discover that the forward curve is able to give a prediction on the returns attained by the bonds in the future. On the other hand, Ang et al. (2005) as well as Estrella and Mishkin (1997, 1998) discover in their research studies that the gradient of the yield curve is able to offer a forecast of the interest rates in the future.

Results from different research studies have all indicated that active strategies that are centered on, or put together with time varying information in the term structure can create feasible strategies for those who want to invest in bonds (Ilmanen 1995, 1997; Ilmanen & Sayood, 2002; Papageorgiou & Skinner, 2002). However, none of the aforementioned research work has taken into account correctly and precisely, whether active strategies that are centered on information in the term structure as well as the forward curve can in fact perform much better in comparison to a passive "buy and hold" strategy. This is because the research studies did not have accessibility to current advanced "Manipulation-Proof Performance Measure" or MPPM which was put forth by Ingersoll and colleagues in 2007. Rather, the only methods of performance measurement that were accessible to these researchers were all static in their nature and therefore not able to offer any adjustment for the intrinsic forceful nature of strategies centered on time varying term premiums integrated in both the forward and term structure.

Taking into consideration this void in the research, this particular paper will aim to determine as to whether dynamic strategies centered on time varying term premiums can in fact have a better performance compared to a standard buy and hold strategy. A significant aspect in the study or examination of this subject is performance measurement. Active strategies purposely endeavor to change the spread of returns by curtailing shortcomings and enhancing positive potential, and in so doing generate positive skewness in their efforts to improve and increase returns. For the time being, a number of strategies might prosper or be unsuccessful in a dramatic way, bringing about unevenness in the distribution. Any performance measure ought to take into consideration for these additional moments in the distribution of proceeds if at all either skewness and kurtosis or both of them are of concern to the investors. Furthermore, active strategies are dynamic as a result of their nature and therefore static performance measures are incapable of capturing their primary nature.

According to Ingersoll et al. (2007) making use of static performance measures for the assessment and evaluation of dynamic strategies can be deceptive since portfolio managers are able to manipulate their strategies, irrespective of whether it is deliberate or not, in order to attain a better score on an extensive assortment of static performance measures even supposing the manager does not have any private information. In particular, the MPPM overrides and overcomes the limitations of all preceding static performance measures on numerous different factors. It can be separated with time (can be expressed as a function of time, time being the variable) and for that reason not cause to experience any sort of dynamic manipulation. In addition, it is curved in, which implies that an individual or manager cannot manipulate his or her score through leveraging. More so, it is constant with evenness while all at once identifying greater performance that is centered on the manipulation of candid arbitrage prospects. Taking these measurement matters into consideration, the study makes an attempt to measure the performance of a selection of bond strategies that are stirred by data that is meant to be confined in the term structure and in the forward curve through five particularly dissimilar performance measures. First off, there is the traditional mean variance Sharpe ratio and secondly there is the one that alters for utility purposes that represent an inclination for positive skewness in addition to mean variance. The third one makes an adjustment for tail risk and the fourth one makes an adjustment for tail risk, skewness, and kurtosis, in addition to mean variance. The last one makes an adjustment for the forceful nature of active strategies. In particular, this last measure is the MPPM, which inhibits the manipulation of performance scores by regulating the return distribution by means of active trading (O Gonzalez, Skinner, & Agyei-Ampomah, 2013).

Objective

The main objective of this case study is the subject matter of how to measure performance

Literature Review

The theoretical validations for each strategy are centered on a central theory of interest rates. For instance, the expectation hypothesis emphasizes that forward rates are associated to the anticipations of the investor regarding future rates of interest and therefore create evenhanded estimates of future interest rates. This theory makes the implication that, considering the fact that term premiums are continuous, there is no predominantly proper or special time to invest at a certain maturity. This means that an investor ought to buy and hold bonds with a maturity that is equivalent to his or her investment horizon. Plenty of the published literature, for instance Cochrane and Piazzesi (2005), Ilmanen (1996), and Fama and Bliss (1987), outright discard the pure expectations theory of interest rates as it is apparent that term premiums do in practice, differ.

In spite of this research study, the expectations hypothesis still has not seen its demise. Froot (1989) discovers that despite the fact that the expectations hypothesis is overruled at the short end of the yield curve, there is some support for the hypothesis at the long end. As per Longstaff (1990), for technical explanations at best, time varying term premiums can at the same time be constant with the expectations hypothesis. De Bondt and Bange (1992) recommend that time varying term premiums might be the outcome of doubtful under-reaction to inflation predictions. Longstaff (2000) demonstrates that the feasibility of the expectations hypothesis is virtuously an empirical matter for the reason that in an imperfect market the presence of the expectations hypothesis does not point toward arbitrage prospects. In recent periods, Galvani and Landon (2012) discover that investors who are fascinated in short time horizons are at an advantage capitalizing in short-term bonds instead of making an attempt to seize term premiums by holding long-term bonds for short spells. Taking all this into consideration, it can be seen that a simple buy and hold strategy is still feasible in its own right and not simply a "straw man" approach to be employed to standardize the attainment of other bond trading approaches.

In the meantime, there is significant empirical backing for a time varying term premium, which suggests that investors ought to abide by a more active approach and alter their allocations in reaction to varying term premiums. Results from a research study by Estrella and Mishkin (1997) show that growths in the gradient of the term structure are linked with rises in inflation, whereas Estrella and Mishkin (1998) and Ang et al. (2006) discover that reductions in the gradient or angle of the term structure can point toward an increased probability of future slumps. It is discovered by Cochrane and Piazzesi (2005) that the forward curve can be employed to forecast imminent Treasury bond yields. Kessler and Scherer (2009) spread out this discovery to six other bond markets. Fascinatingly, Kalev and Inder (2006) discover untapped data in the term structure that is not integrated into anticipations. Taking these findings into consideration, investors ought to regulate their bond holdings in reaction to fluctuations in term premiums. For example, in relation to Estrella and Mishkin (1997), when the term structure and consequently the term premium rises, inflation is anticipated to rise; this implies that impending interest rates are also estimated to rise. This proposes that, as a general rule, one ought to trade long-term bonds and purchase short-term bonds. Ilmanen (1995, 1997) discovers that this sort of an active strategy can overtake a passive, impartial anticipation enthused 'buy and hold' strategy.

It is suggested by Modigliani and Sutch (1966) that, investors are in general worried with income the same way they are with capital risk so that interest rate declines can be as detrimental as interest rate rises for investors such as pension plans and insurance corporations who have certain investment horizons. Therefore, investors who have ideal habitats ought to immunize themselves by corresponding the Macaulay duration of their portfolios to their investment horizons, since this will bring balance between income and capital risk in an optimal manner. With the exception of for Van Horne (1980), nevertheless, the theoretical foundations of immunization have discovered minimal empirical backing. Regardless, immunization continues to be a common approach in industry and disparities of the immunization strategy have continued to appeal academic attention in current papers such as Soto (2001), Ventura and Pereira (2006), and Diaz et al. (2009).

Methodology

The source of the data employed in this case study is Ebscohost and the keywords used are bond strategies, term structure theory, performance measurement and MPPM. Another search of the keywords was also done on Bloomberg. This research study purposes to examine, in an empirical manner, a basic buy and hold long-term bond strategy and make a comparison of how it performs against three other dissimilar bond strategies that are a forward curve, a term structure and an immunization strategy. The intent here is to determine whether the statistically significant information within the forward curve and the term structure can create the context of a superior investment strategy. In this case study, we opted to examine and study the performance of 9-year bond portfolios since nine years seem to be a probable contender for a distinctive, long-term, chosen environment investment horizon. In undertaking this examination, the study proposes to gather the closing bid price of every day together with the date issue, date of maturity, day count convention, the coupon rate, and the ISIN number of all 452 Treasury bonds that can be accessed in Bloomberg from 1 May, 2007. Centered on the aforementioned aspects, the researcher will make the attempt to make a calculation of the yield to maturity, the accumulated interest for every day of trading and Macaulay duration (O Gonzalez, Skinner, & Agyei-Ampomah, 2013).

As the study proxy for the interest rate that is accessible for investment in the short run, the researcher will gather the 3-month LIBOR rates from Bloomberg. Since the researcher is certain of the day count conventions, it is possible to calculate the implicit LIBOR rate of per day of trading ( Gonzalez, Skinner, & Agyei-Ampomah, 2013). In order to be certain that the bond strategies are studied in an integrated context, all of the bond strategies started on the similar date as the same bonds when capitalized in the bond market. To be considered, every bond has to have 9 years of constant daily bid prices from the date of the original portfolio. To decrease any characteristic risk, the researcher will choose a total of 6 bonds from the bonds that are appropriate as of the day the portfolio was formed. At every date of formation, 4 portfolios are formed with each of them being consistent to each of the strategies. In this manner, the asset assortment choice of each of the four strategies is placed constant in order for the researcher to isolate the influence of the timing decision ( Gonzalez, Skinner, & Agyei-Ampomah, 2013). The selection of studies consists of articles with bonds to their portfolios. One bond is required to have a maturity that is near 9 years while a second bond ought to have a Macaulay duration that is near 9 years. Two other bonds must have a Macaulay duration superior than, however still near 9 years, and the ultimate two ought to have a Macaulay period that is a reduced number but still near 9 years ( Gonzalez, Skinner, & Agyei-Ampomah, 2013).

The immunization strategy is similar to the buy and hold strategy with the only difference that the study does not employ equivalent weights for the investing back on coupons or for the creation of the primary bond portfolio. In detail, these weights are selected to ensure that the primary bond portfolio has a Macaulay time period that is equivalent to 9 years. The portfolios for active strategies are fashioned from the similar bonds as the buy and hold bond strategy and immunization strategy. Similar to the buy and hold bond strategy, these portfolios are similarly weighted. Nevertheless, when making use of active strategies, if term premiums differ it will be important to decide when the investor ought to adjust from holding bonds to financial instruments of the money market and the other way round ( Gonzalez, Skinner, & Agyei-Ampomah, 2013).