South Korea Treasury Bond 6M Estimated Yield

KRKTB6M is the yield-to-maturity estimated at the six-month maturity point of the Korea Treasury Bond coupon curve, expressed in percent per annum, and KRED applies no transformation to this value. No six-month Korea Treasury Bond is issued, so the yield at this point is not observed directly from a traded bond but is interpolated and estimated from a fitted yield curve.

Here the yield-to-maturity is the single discount rate that equates a bond's price to the present value of its remaining cash flows, a concept formalized by Macaulay (1938) and embedded in the term-structure decomposition of Hicks (1939).

The six-month point sits at the short end of the curve, whose level, slope, and curvature are summarized by the parametric form of Nelson and Siegel (1987) and its extension in Svensson (1994). The continuous discount function is recovered from coupon-bond prices by the spline methods of McCulloch (1971, 1975) and Vasicek and Fong (1982). The estimated value corresponds to the operational daily zero-and-par-yield construction described by Gürkaynak, Sack, and Wright (2007).

It reflects the full zero-coupon term structure underlying Fisher and Weil (1971) and is one of the maturity-specific yields whose construction methods are catalogued and compared by Bliss (1997). Because the six-month point lies near the policy-controlled short end, the estimated yield closely tracks the operating-target framework of Bindseil (2004) and the corridor mechanics surveyed by Borio (1997).

KRED applies no transformation to KRKTB6M and stores the estimated six-month yield exactly as supplied, so the methodology is limited to the measurement basis by which such a value comes to exist.

A yield-to-maturity is the internal rate of return that discounts a coupon bond's remaining cash flows to its market price, the construct introduced by Macaulay (1938) and organized into a term structure of expected short rates plus premia by Hicks (1939).

Because no six-month Korea Treasury Bond is issued, the level at this point is not read from a traded price but is interpolated from a fitted discount function recovered from observed coupon-bond prices. This recovery may proceed by any of the cubic spline of McCulloch (1971) with the tax-adjusted refinement of McCulloch (1975), the exponential spline of Vasicek and Fong (1982), the parsimonious level-slope-curvature parameterization of Nelson and Siegel (1987), or the second-hump extension of Svensson (1994).

The daily operational version of this construction, producing par and zero yields at any maturity, follows Gürkaynak, Sack, and Wright (2007). The comparative properties of these competing estimators are documented by Bliss (1997), and the immunization mapping between the zero-coupon term structure and the quoted yield is given by Fisher and Weil (1971). At six months the estimated yield also reflects the secured-funding conditions analysed by Duffie (1996).

At a six-month horizon the recorded yield is predominantly an expectation of the near-term path of the overnight policy rate plus a small term premium. This is the decomposition formalized by Hicks (1939), so the series functions as a market read on the operating-target rate whose corridor mechanics are described by Bindseil (2004) and Borio (1997).

Movements at this point of the curve trace how the overnight rate is determined day to day. Namely, they reflect how the operating target is steered around its level as modelled by Bartolini, Bertola, and Prati (2002), how the overnight unsecured rate that anchors the front end is determined as characterized by Hamilton (1996) and measured transaction by transaction in Furfine (1999), and how secured overnight financing sits below the riskless rate as analysed by Duffie (1996).

Read against the longer maturities summarized by the curve shape of Nelson and Siegel (1987) and the historical yield record of Macaulay (1938), the six-month level conveys the slope of the short end, the realized-return relationship of Fisher and Weil (1971), and the daily measurement conventions standardized by Gürkaynak, Sack, and Wright (2007).

For pricing and risk management the six-month yield is a discount factor for near-dated cash flows and a building block for money-market and short-bond valuation. Its sensitivity to rate moves is captured by the duration concept of Macaulay (1938) and the term-structure immunization of Fisher and Weil (1971).

Practitioners interpolate and extrapolate the curve around this point, using the fitted curves of Nelson and Siegel (1987) and Svensson (1994), the discount-function splines of McCulloch (1971) and Vasicek and Fong (1982), and the daily zero-and-forward extraction of Gürkaynak, Sack, and Wright (2007). The relative accuracy of these methods at the short end is assessed by Bliss (1997).

The level feeds carry, roll-down, and forward-rate calculations whose forward decomposition originates with Hicks (1939), and informs repo and collateral pricing in the secured-financing framework of Duffie (1996). It also serves as a hedging reference against the operating-target rate dynamics set out by Bartolini, Bertola, and Prati (2002).

On the 6,350 daily observations spanning 2000-12-19 to 2026-06-10, fit with a constant and trend, the unit-root battery agrees that the six-month Treasury par yield is integrated of order one. The augmented Dickey-Fuller test of Dickey and Fuller (1979), in the ARMA-consistent lag-augmented form of Said and Dickey (1984) and with lag length set as in Ng and Perron (2001), does not reject a unit root with p = 0.7033, the nonparametric Phillips and Perron (1988) test concurs with p = 0.6412, and the Kwiatkowski et al. (1992) stationarity test rejects its trend-stationary null at p < 0.01, so the verdict is an unambiguous I(1). The GLS-detrended power escalation of Elliott, Rothenberg, and Stock (1996) is reserved for ambiguous outcomes under the house protocol and is not required on this clean reading.

Because the level is integrated, the mean-shift and serial-correlation diagnostics are run on the first difference, the stationary object those procedures require, since a break search or a portmanteau on an integrated level would spuriously segment and read near-unit autocorrelations (Bai and Perron 1998; Perron 1989). The multiple-break procedure of Bai and Perron (1998), computed by the dynamic-programming algorithm of Bai and Perron (2003), finds no break in the mean of the differenced series, consistent with the parameter-instability inference of Andrews (1993). The Ljung and Box (1978) portmanteau statistic, refining the original Box and Pierce (1970) form, is computed on the first difference and rejects the white-noise null at lags 10 and 20, with Q = 662.69 and Q = 837.10 and p = 0.000 and p = 0.000, and the automatic portmanteau test of Escanciano and Lobato (2009) concurs with a statistic of 152.83 at p = 0.000.

The series is daily and has no low-integer seasonal period, so the seasonal-unit-root machinery of Hylleberg et al. (1990) and the Canova and Hansen (1995) seasonal-stationarity test are inapplicable and are deliberately not run, the degeneracy of the seasonal auxiliary regression at a daily period being the standard ground (Beaulieu and Miron 1992; Ghysels and Osborn 2001).