To determine the compound amount of an investment of $10,000 with an interest rate of 6% compounded monthly after 4 years requires you to use a table factor that goes beyond the Compound Interest Table. Calculate the new table factor for this investment.

To calculate the compound amount of an investment, you can use the formula:

A = P(1 + r/n)^(nt)

where:
A = the final amount
P = the principal amount (initial investment)
r = annual interest rate (as a decimal)
n = number of times interest is compounded per year
t = number of years

In this case, the initial investment is $10,000, the interest rate is 6%, compounded monthly, and time is 4 years.

First, you need to convert the interest rate to a decimal by dividing it by 100: 6% / 100 = 0.06.

Next, you need to determine the number of times interest is compounded per year. Since it is compounded monthly, there are 12 compounding periods in a year.

Now, you can plug in the values into the formula:

A = 10,000(1 + 0.06/12)^(12*4)

Calculating this will give you the compound amount of the investment after 4 years.

However, if you specifically want to calculate the new table factor for this investment, you need to divide the compound amount by the initial investment:

Table Factor = A / P

Table Factor = 10,000(1 + 0.06/12)^(12*4) / 10,000

Simplifying this will give you the specific table factor for this investment.