energy of a system of size $L$ should not exceed the mass of a black hole of the same size otherwise it would decay into a black hole. The saturation of the inequality means $\rho_{\Lambda} = \frac{3n^2~m_p^2}{L^2}$ where $m_p$ is the reduced Planck Mass ($m_p^{-2} = 8\pi G$). The UV cut-off is related to the vacuum energy and the IR cut-off is related to the large scale of the universe. The holographic dark energy scenario is viable if we set the IR cut-off by the future event horizon and also makes a concrete prediction about the equation of state of the DE [@f14]. On the other hand the new agegraphic DE model is based on the K$\acute{a}$rolyh$\acute{a}$zy relation which considers energy density of quantum fluctuations of the metric and matter in the universe. The energy density of the new agegraphic DE model has the same form as the holographic dark energy but the conformal time takes care of the IR cut-off instead of considering the future event horizon of the universe. The model not only account the observed value of DE in the universe but also predicts an accelerated expansion. Among various theoretical approaches to explain the present cosmic accelerated 