AIFA AIFA Quantitative Methods & Financial Modeling

Question 1

A US investor deposits $50,000 into an account earning 6% annual interest compounded monthly. What is the approximate future value after 5 years?

Accepted Answer

$67,443

Answer

Using FV = PV × (1 + r/n)^(n×t) = $50,000 × (1 + 0.06/12)^60 ≈ $67,443.

Question 2

In a discounted cash flow (DCF) model, which rate is used to convert future cash flows to present value?

Accepted Answer

Weighted average cost of capital (WACC)

Answer

The WACC is commonly used as the discount rate in DCF models because it reflects the blended cost of both debt and equity financing.

Question 3

Which statistical measure describes how much individual data points in a dataset deviate from the mean on average?

Accepted Answer

Standard deviation

Answer

Standard deviation measures the average dispersion of data points around the mean and is expressed in the same units as the original data.

Question 4

A bond with a face value of $1,000 pays a 5% annual coupon and matures in 10 years. If the required yield is 6%, the bond is trading at a:

Accepted Answer

Discount to par

Answer

When the required yield exceeds the coupon rate, the bond trades below par (at a discount) because its cash flows are worth less when discounted at the higher rate.

Question 5

What does a correlation coefficient of -1.0 between two assets indicate for portfolio construction?

Accepted Answer

The assets move in exactly opposite directions, offering maximum diversification

Answer

A correlation of -1.0 means the assets move in perfectly opposite directions, which theoretically allows a portfolio to eliminate unsystematic risk entirely through diversification.

AIFA - Applied Investment & Finance Analyst Practice Test

AIFA - Applied Investment & Finance Analyst Practice Test

AIFA AIFA Quantitative Methods & Financial Modeling