Noah invested Php118,703 at 5% interest compounded quarterly for 1 years. What is the compound amount (future value) of his investment?

To calculate the future value of Noah's investment, we will use the formula for compound interest which is:

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

where: A = the future value of the investment/loan, including interest P = the principal investment amount (Php118,703 in this case) r = annual interest rate (5% or 0.05 in decimal form) n = number of times that interest is compounded per year (quarterly means 4 times per year) t = the time the money is invested for in years (1 year in this case)

Substituting the given values into the formula, we get:

A = 118703 * (1 + 0.05/4)^(4*1)

Now, calculate the values inside the parentheses:

A = 118703 * (1 + 0.0125)^(4)

A = 118703 * (1.0125)^4

A = 118703 * 1.0512676805

Finally, multiply the principal amount by the calculated factor:

A = Php124,618.77

So, the future value of Noah's investment after 1 year will be approximately Php124,618.77.