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Return Enhancement can be explained using following heads:
Use of a Valuation Model: An investor having access to a bond valuation model can build a bond portfolio from bonds that are designated as mispriced on the low side by the model. A significant point here is - the nature of a bond valuation model is much more technical compared to equities. Further, fungibility or interchangeability between bonds in terms of their risk characteristics is more than that found in equities. In other words, the switches in between bonds that may be suggested by a valuation model have more true arbitrage characteristics than the switches among equities.
Options Overwriting: A portfolio manager can enhance the returns of a bond portfolio through options overwriting, which means writing interest rate related calls or puts. The forecast for bonds depends on the timing of long-term interest rates.
Minimization of the Value of the Bond Portfolio: The portfolio manager can minimize the value of the bond portfolio while implementing liability funding methods. For example, let us discuss the return enhancement technique while immunizing a single liability. Suppose the problem of the portfolio manager is
The two constraints the portfolio manager experiences are:
In the above equations Pi denotes price of bond i.
The first constraint results in an asset portfolio composed of only bonds. The second constraint causes the duration of the bond portfolio to match the duration of the liability. This technique of optimization is popularly known as linear programming. Such a problem can be solved in a simple way by using well established algorithms. The portfolio manager has to make sure whether the internal rate of return of the bond portfolio thus constructed is more or less similar to the rate he has used to discount the present value of the liability. If not, the portfolio manager in order to discount the liability must optimize again using the internal rate of return of the earlier optimal portfolio.
An important point here is the choice of the set of bonds over which the optimization will take place. Such set must be homogeneous in terms of quality rating. Otherwise, the optimized portfolio will concentrate just on those bonds that result in higher yields as they are cheap and does not consider their risky nature.
Project Evaluation The expected value calculations are crucial to project investment decisions. The following example explains the use of probabilities in project evaluation.
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