Final answer:
To calculate the value of the tax credit, we need to determine the present value of the excess credit. Using the discount rate of 4 percent, we can discount the future value of the credit to its present value. The value of the credit, considering the discount rate, is $115,384.62.
Step-by-step explanation:
To calculate the value of the tax credit, we need to determine the present value of the credit. Given that Perkin Corporation has tax liability before credits of $75,000 and qualifies for a tax credit of $120,000, we can calculate the present value of the excess credit. Using the discount rate of 4 percent, we can discount the future value of the credit to its present value. The formula to calculate present value is:
Present Value = Future Value / (1 + Discount Rate)^n
Here, the future value is $120,000, the discount rate is 4 percent (or 0.04), and the number of periods (n) is 1, since we are calculating the present value for the current year. Plugging in the values into the formula:
Present Value = $120,000 / (1 + 0.04)^1 = $120,000 / 1.04 = $115,384.62
Therefore, the value of the credit, considering the discount rate, is $115,384.62.