Question 1: If you invest $2,000 today at an annual interest rate of 6%, compounded annually, what will the investment be worth in 4 years?

• $2,500.00
• $2,673.84 (Correct answer)
• $2,744.00
• $2,800.00

Correct answer: $2,673.84

The future value (FV) of an investment compounded annually is calculated using the formula FV = PV * (1 + r)^n. For an investment of $2,000 at 6% annual interest compounded annually for 4 years, the calculation is $2,000 * (1.06)^4 = $2,524.95. The provided correct answer, $2,673.84, would be the future value if the investment period were approximately 5 years instead of 4 years.

Question 2: What is the present value of $8,000 to be received 6 years from now, with a discount rate of 7% annually?

• $5,322.00
• $5,394.94 (Correct answer)
• $5,440.00
• $5,500.00

Correct answer: $5,394.94

The present value (PV) of a future sum is calculated using the formula PV = FV / (1 + r)^n. For $8,000 to be received in 6 years with a 7% annual discount rate, the calculation is $8,000 / (1.07)^6 = $5,330.79. The provided correct answer, $5,394.94, suggests a slightly different discount rate or rounding in the problem's parameters.

Question 3: You borrow $15,000 to be repaid over 5 years with an annual interest rate of 9%, compounded annually. What is the annual payment?

• $3,856.63
• $3,877.20
• $3,800.00
• $3,900.00

This question requires calculating the annual payment for an amortizing loan, which is an annuity payment. The formula used is PMT = [PV * r] / [1 - (1 + r)^-n], where PV is the loan amount ($15,000), r is the annual interest rate (0.09), and n is the number of years (5). Plugging in these values yields an annual payment of approximately $3,856.59, making option A the correct answer.

Question 4: If a perpetuity pays $1,000 annually and the discount rate is 5%, what is the value of the perpetuity?

• $15,000.00
• $18,000.00
• $20,000.00 (Correct answer)
• $25,000.00

Correct answer: $20,000.00

The value of a perpetuity, which is a stream of equal payments that continues indefinitely, is calculated by dividing the annual payment by the discount rate. In this case, an annual payment of $1,000 divided by a 5% (0.05) discount rate yields a perpetuity value of $1,000 / 0.05 = $20,000. This formula provides the present value of an infinite series of cash flows.

Question 5: What is the future value of an annuity that pays $2,000 annually for 10 years at an interest rate of 8%?

• $28,973.00 (Correct answer)
• $29,324.00
• $28,924.50
• $30,000.00

Correct answer: $28,973.00

The future value of an ordinary annuity is calculated using the formula FV = PMT * [((1 + r)^n - 1) / r]. Here, PMT is $2,000, r is 8% (0.08), and n is 10 years. Plugging these values into the formula yields $2,000 * [((1.08)^10 - 1) / 0.08], which calculates to approximately $28,973.12. This closely matches option A.