Macaulay gave two alternative measures: 1  Expression (1) is FisherâWeil duration which uses zero-coupon bond prices as discount factors, and. 2  Expression (3) which uses the bond's yield to maturity to calculate discount factors.
An electronic oscillator is an electronic circuit that produces a periodic, oscillating electronic signal, often a sine wave or a square wave.Oscillators convert direct current (DC) from a power supply to an alternating current signal. They are widely used in many electronic devices.he most common form of linear oscillator is an electronic amplifier such as a transistor or op amp connected in a feedback loop with its output fed back into its input through a frequency selective electronic filter to provide positive feedback.
Quartz crystal resonator (left) and quartz crystal oscillator (right) A crystal oscillator is an electronic oscillator circuit that uses a piezoelectric resonator, a crystal, as its frequency-determining element. Crystal is the common term used in electronics for the frequency-determining component, a wafer of quartz crystal or ceramic with electrodes connected to it. A more accurate term for it is piezoelectric resonator. Crystals are also used in other types of electronic circuits, such as crystal filters.