Patrick is a 3D drawing designer, and he has just been appointed as a designer for a project which will last for 3 years. Patrick is offered the following two different pay packages to choose from: Package 1: He will be paid $30,000 at the beginning of each month in the following three years. Package 2: He will be paid $25,000 at the end of each month in the following three years, along with a $300,000 bonus when the contract is over in three years. If the relevant yearly interest rate is 12.6825%, which pay package is more valuable today? Explain with supporting calculations