Approach of Cobb Douglas Function Into Scheme of Ijarah Muntahiya Bittamlik (IMBT)

Ijarah Muntahiya Bittamlik (IMBT) is a scheme for the sale of goods or services that combines a sale and purchase contract and a lease agreement ending with the ownership of the goods or services that are the object of the contract in the hands of the tenant. In the IMBT scheme, the tenant makes payments for the compensation agreed in the contract to a sharia financing company (PPS) which is generally done every month and is called Ujroh. Thus, Ujroh is a compensation payment, which becomes monthly profit of the company. In this research, Ujroh calculation was conducted in 2019 for PT Adira Finance using approach of Cobb Douglas function, especially profit function. Financial data of PT Adira Finance since 2011 up to 2018 was taken secondary then analyzed using the maximum likelihood estimation method assisted with methods of Newton Raphson and Matlab software, so that obtained a model of profit function of Cobb Douglas will be used to calculate Ujroh for next year. It was obtained results that Ujroh scores for 2019 were not too far from Ujroh scores in previous years so it can be said that the Cobb Douglas functional approach in the IMBT scheme is quite good.