N.J. Stat. Ann. § 46:8-19.1

The Commissioner of Banking may, in his discretion, promulgate rules and regulations with respect to the establishment of the method of computing the interest due to either the person receiving the money as a security deposit or to the tenant pursuant to the provisions of P.L.1967, c.265 (C.46:8-19 et seq.) or P.L.1971, c.223 (C.46:8-21.1 et seq.) if the money is deposited in an account or in shares of an investment company upon which the interest varies on a periodic basis.