Question

Ted purchased an annuity today that will pay $1,000 a month for five years. He received his first monthly payment today. Allison purchased an annuity today that will pay $1,000 a month for five years. She will receive her first payment one month from today. Which one of the following statements is correct concerning these two annuities?
a) Both annuities are of equal value today.
b) Ted’s annuity is an ordinary annuity.
c) Allison’s annuity is an annuity due.
d) Allison’s annuity has a higher present value than Ted’s.
e) Ted’s annuity has a higher present value than Allison’s.

Answer 1

Answer:

The correct option is E,Ted's annuity has a higher present value than Allison's

Explanation:

Both annuities do not have equal amount today as $1000 received today is higher in value terms than $1000 receivable in a month's time since cash receivable earlier is much more valued than the one receivable later.

Ted's annuity is an  annuity due not an ordinary annuity

Allison's annuity is an ordinary annuity not annuity due

Allison's annuity has a lower present value than Ted's and not the other way round.

The only correct statement is option E,since Ted is expected to receive $1000 today, his annuity has a higher present value compared to Allison's