Which of the Following Is a Required Property of the Cubic

question 5

Multiple Choice

Which of the following is a required property of the cubic spline approach to estimating the yield curve and discount functions $d ( t )$ ? Recall that the approach fits functions $d _ { k } ( t )$ to $k$ regions between $( k + 1 )$ knot points.

• A) \(d ( 0 ) > 1\)
• B) \(d _ { k } \left( T _ { k + 1 } \right) = d _ { k + 1 } \left( T _ { k + 1 } \right)\)
• C) \(d _ { k } ^ { \prime } \left( T _ { k + 1 } \right) > d _ { k + 1 } ^ { t } \left( T _ { k + 1 } \right)\)
• D) \(d _ { k } ^ { \prime \prime } \left( T _ { k + 1 } \right) < d _ { k + 1 } ^ { \prime \prime } \left( T _ { k + 1 } \right)\)Where
• \(d ^ { \prime } ( t )\)And
• \(d ^ { \prime \prime } ( t )\)Denote first and second derivatives of the function
• \(d ( t )\)With respect to\(t\)

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Definitions:

Phase Current

The current flowing through one phase circuit in a polyphase system, which could vary in magnitude and phase angle compared to currents in other phases.

Wye

A connection in three-phase systems where the ends of each phase are connected at a common point, forming a Y-like shape.

Delta

A method of connection for a three-phase electrical circuit that forms a triangle-like configuration.

Balanced Three-Phase System

A three-phase electrical system where all three phases carry equal currents and have the same voltage magnitude but are out of phase with each other by 120 degrees.