The formula for the compound amount after t years is:

A = P(1 + i)^n

where

A is the future (maturity) value;

P = $50,000 is the principal;

r = 0.04 or 4% is the annual interest rate;

m = 12 is the number of compounding periods per year (compounded monthly)

t = 6 years is the number of years;

n = m*t = 12*6 = 72 is the number of compounding periods;

i = r/m = 0.04/12 = is the interest rate per period;

A = 50000(1 + 0.04/12)^72

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click here to see the step by step calculation for A

........

A = $102,356.80

After 6 years the future value will be $102,356.80.