47.8k views
3 votes
What is the future value of an annuity due if your required return is 12.24%, and annual payments are $11,655 for 7 years (to the penny)?

User Chrismealy
by
8.0k points

1 Answer

2 votes

Final answer:

The future value of an annuity due is calculated using a specific formula which takes into account the annual payments, interest rate, and number of periods. However, the exact future value calculation for the given scenario cannot be provided without the necessary formula and additional information.

Step-by-step explanation:

The question asks about calculating the future value of an annuity due, which is a series of equal payments made at the beginning of consecutive periods. The provided annual payments are $11,655 for 7 years and the required return is 12.24%. To calculate the future value of an annuity due, one would typically use the future value formula for an annuity due, which is FV = Pmt × {[((1 + r)^n - 1) / r] × (1 + r)} where Pmt is the payment amount, r is the interest rate per period, and n is the number of periods.

However, since the exact future value is not provided in the question and we only have examples of present value (PV) and bond calculations, we cannot compute the exact future value without the annuity due formula and additional context or numbers. The examples given discuss how an investment would grow over time with a specific return rate and how to calculate the present discounted value of a bond, both of which are related to the concept of time value of money.

User Mark Connell
by
8.2k points