Calculate the present value and the future value of a Geometric

annuity with the following characteristics:

q$=1\mathrm{.}10($annual growth$),$ n$=15$ years, First payment $=1,050$ and

EAIR $=12\%.$

a$.$ PMTS are made at the end of each year.

b$.$ PMTS are made at the beginning of each year.

c$.$ Calculate the financial value, considering the annuity will start

$5$ years from now.

d$.$ Calculate the financial value, if the annuity ended $6$ years ago.