Final answer:
To find the equivalent annual annuity amount for combining two cash flows, we can use the annuity formula. In this case, the equivalent annual annuity amount is (option B) approximately $438.
Step-by-step explanation:
To find the equivalent annual annuity amount for combining two cash flows, we can use the annuity formula:
A = (C × r) / (1 - (1 + r)^-n)
Where A is the annuity amount, C is the cash flow, r is the interest rate, and n is the number of years.
In this case, we have two cash flows of $1,000 each, located at year 3 and year 6. We want to find the equivalent annual annuity amount located from year 3 to year 7 at an annual interest rate of 8%. Plugging in the values, we have:
A = (1000 × 0.08) / (1 - (1 + 0.08)^-5)
Solving this equation gives us an equivalent annual annuity amount of (option B) approximately $438.