Question

Laura says that the present value of $700 to be received one year from today if the interest rate is 6 percent is less than the present value of $700 to be received two years from today if the interest rate is 3 percent. Cassie says that $700 saved for one year at 6 percent interest has a smaller future value than $700 saved for two years at 3 percent interest.

A) Both Laura and Cassie are correct.
B) Both Laura and Cassie are incorrect.
C) Only Laura is correct.
D) Only Cassie is correct.

Answer 1

The correct answer is A. Both Laura and Cassie are correct.

Step-by-step explanation:

Since Laura says that the present value of $ 700 to be received one year from today if the interest rate is 6 percent is less than the present value of $ 700 to be received two years from today if the interest rate is 3 percent, and Cassie says that $ 700 saved for one year at 6 percent interest has a smaller future value than $ 700 saved for two years at 3 percent interest, to determine who is right, the following calculations must be performed:

700 x 1.06 = 742

700 x 1.03 ^ 2 = 742.63

Therefore, both Laura and Cassie are correct in their claims.