Factors that affect the arterial wall compliance ('c') are the tissue properties, the in-vivo pulsatile pressure, and the prestressed condition of the artery. It is necessary to obtain the load-free geometry for determining the physiological prestress in the wall. The previously developed optimization-based inverse algorithm was improved to obtain the load-free geometry and the wall prestress of an idealized tapered femoral artery of a dog under varying arterial wall properties. The 'c' was also evaluated over a range of systemic pressures (72.5-140.7 mmHg), associated blood flows, and wall properties using the prestressed geometry. Results showed that the computed load-free outer diameter at the inlet of the artery was 6.7%, 9.0%, and 12% smaller than the corresponding in-vivo diameter for the 25% softer, baseline, and 25% stiffer wall properties, respectively. Conversely, variations in the prestressed geometry and circumferential wall prestress were less than 2% for variable wall properties. The 'c' at the inlet of the prestressed artery for the baseline wall property was 0.34, 0.19 and 0.13 % diameter change/mmHg for time-averaged pressures of 72.5, 104.1, and 140.7 mmHg, respectively. However, variations in 'c' due to the change in wall property were less than 6%. The load-free and prestressed geometries were accurately (within 1.2% of the in-vivo geometry) computed under variable wall properties. The 'c' was influenced significantly by the change in average pressure, but not due to wall property.