# Horizon Analysis

A method used to estimate a portfolio’s expected total return over a given investment horizon

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## What is Horizon Analysis?

Horizon analysis is a method used to estimate a portfolio’s expected total return over a given investment horizon. It uses scenario analysis to view a given bond swap as a well-defined mixture of components from idealized swap categories at each point in time.

Horizon analysis enables the portfolio manager to associate the primary sources of the expected return with the portfolio. By pursuing such a route, a portfolio manager can explore the vulnerabilities of the portfolio’s expected return over a range of market conditions and eventually define and quantify different forms of risk.

### Summary

• Horizon analysis compares a portfolio’s projected return over different time frames using scenario analysis to arrive at a more realistic estimate of its expected returns.
• It helps portfolio managers estimate market uncertainties and bond market yields.
• Since it is based on the planned investment horizon, the analysis simplifies calculations to give the bond market projection.

### Understanding Horizon Analysis

Horizon analysis comes in handy for portfolio managers to project bonds’ performance for a planned investment period. It also enables managers to determine market risks, future market yields, and reinvestment rates over the planned investment horizon.

Expected returns are broken down into different scenarios to determine which bonds would bring the best gains over a planned horizon period. In part, the approach simplifies the computation of certain risk measures, such as yields spreads and break-even points for yield levels. Profit evaluation of bonds is typically untenable using yield maturity. The dramatic changes in risk structures are also clarified in the horizon analysis.

### Estimating Returns Level

Horizon analysis is based on the passage of time, which usually impacts bond investment decisions. Basically, bond market participants hold two views – one is short-term with day-to-day price movements as the main focus, and the second is long-term with the primary focus on some measures to yield-to-maturity.

However, most investors tend to explore investment horizons earlier than the earliest maturity bonds under consideration rather than those that extend beyond the current calendar year. At the same time, a workout period extending beyond the immediate months ahead – but not further than a few years into the future – gives the most comfortable projections of the bond market.

Horizon analysis is a convenient analytic tool that helps the investor explore the middle ground, “between tomorrow and maturity.” Such an analysis framework indicates the level of returns within the planned investment horizon.

### Using Horizon Analysis to Relate Portfolio With Sources of Return

#### Value of a Bond

When an individual buys a bond, they earn income in three ways – coupon income, interest on interest, and capital gains from the sale of the bond. Coupon in this context entails coupon payments and accrued interest received in case the bond is sold in advance. Interest-on-interest is the return earned by reinvesting and compounding of the coupon income.

The interest amount on the interest-on-interest brings uncertainty because the specific vehicle and the reinvestment rates are future based and hard to predict. However, interest-on-interest can account for a significant proportion of the total return for a long-term bond, implying that it should be included during bond investment evaluation.

One way to overcome this uncertainty is to assume a constant reinvestment rates. Horizon analysis can be used to explore the uncertainty impact associated with reinvestment by breaking down the expected returns across some range of feasible values. The increase in the bond’s market value is represented as the capital gain component of return.

#### Shifting the Capital Gain

The three basic sources of return apply to any investment medium. Bonds produce a higher portion of income in the long term compared to other types of securities. The income results from the relatively predictable coupon and redemption flows. However, having short and intermediate-term investment maturities increases the uncertainty of the bond’s total return as they reduce the potential for capital gains.

Horizon analysis helps to compare and differentiate a bond’s return over the given periods. As a result, horizon analysis leads to an important refinement in the capital gain component through this differentiation.

### Using Horizon Analysis to Estimate the Yield Accumulation Return

Horizon analysis obtains an approximate measure of the accumulating return on bonds by adding the accumulated capital gain component to the bonds return. The capital gain component is relatively free from market uncertainties associated with the daily movement of market rates. The return, also known as the yield accumulation return, can continue to grow over longer investment horizons.

In the early years, the coupon income gives approximately twice as much return as the accumulated capital gain, unlike the interest on interest, which is usually negligible. As the investment horizon gets longer, the coupon income maintains a constant growth, the interest on interest grows at an assumed rate, and the capital gain increases its contribution to the yield.

Horizon analysis uses cumulative percentage return, represented as the percentage of the current investor base. Volatility is also measured in the same fashion by incorporating the idea of volatility over time into the representation of capital gain.

### More Resources

CFI is the official provider of the global Capital Markets & Securities Analyst (CMSA)™ certification program, designed to help anyone become a world-class financial analyst. To keep advancing your career, the additional CFI resources below will be useful:

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