Modeling and Application of a New Nonlinear Fractional Financial Model

Table 2

The first equation in (9) under the several time steps of discretization.

	Δ𝑡
	0.6	0.7	0.8	0.9	1
𝑐	−0.08301**	−0.0818**	−0.0797**	−0.0769**	−0.0736**
	(0.0227)	(0.0227)	(0.0227)	(0.0227)	(0.0227)
𝑥
	𝑦	0.3933**	0.3876**	0.3774**	0.3641**	0.3488
(0.0131)		(0.0131)	(0.0131)	(0.0131)	(0.0131)
𝑧	4.0327**	3.9749**	3.8703**	3.7338**	3.5763**
	(0.0481)	(0.0481)	(0.0481)	(0.0481)	(0.0481)
𝑥𝑦
	𝑦𝑧	−21.8019**	−21.4897**	−20.9243**	−20.1863**	−19.3349**
(0.0128)		(0.0128)	(0.0128)	(0.0128)	(0.0128)
𝑧𝑥	29.9767***	29.5474***	28.7700***	27.7553***	26.5846***
	(0.0010)	(0.0010)	(0.0010)	(0.0010)	(0.0010)
𝑥^2	−6.1145***	−6.0269***	−5.8684***	−5.6614***	−5.4226**
	(0.0002)	(0.0002)	(0.0002)	(0.0002)	(0.0002)
𝑦^2
	𝑧^2
SSR		4.5𝑒−3	4.3𝑒−3	4.2𝑒−3	3.9𝑒−3	3.6𝑒−3
Prob(F)	0.0068	0.0068	0.0068	0.0068	0.0068

Note. ***, **, and * denote statistical significance at the 1%, 5%, and 10% levels. SSR is the sum squared residuals. Prob is the P value of F-statistic.