For each case below, find the future value at end of year six of an amount $1,300 invested today in an account with a stated annual interest rate of 9 Percent?

a. Compounded annually?

b. Compounded semi-annually?

c, Compounded monthly?

d, Compounded continuously?

e, Based on the calculations above, explain by referring to some specific principle that as the compounding period shortens, the future value increase.