What amount must be invested today to allow for quarterly payments of $2,500 at the end of every quarter for 15 years after a six-year deferral period? Assume that the funds will earn 5% compounded semi-annually.

Compounded semi-annually

The process of adding interest to the principal sum of a loan or deposit, or "compounding," twice each year.

Deferral period

The time span during which payments or obligations are postponed or delayed.

Incorporate and utilize the principles of time value of money in calculating present and future worth of various financial tools.
Gauge the value of annuities and perpetuities, factoring in ordinary annuities, annuities due, deferred annuities, and perpetuities, considering different rates of compounding.
Determine the size and duration of payments needed to fund specific financial goals, including retirement savings, loan repayments, and savings for education or other future expenses.

Verified Answer

Final Answer :

$78,297.55

Learning Objectives

Incorporate and utilize the principles of time value of money in calculating present and future worth of various financial tools.
Gauge the value of annuities and perpetuities, factoring in ordinary annuities, annuities due, deferred annuities, and perpetuities, considering different rates of compounding.
Determine the size and duration of payments needed to fund specific financial goals, including retirement savings, loan repayments, and savings for education or other future expenses.