CAA Financial Mathematics — Questions and Answers
Question 1: What is the formula for compound interest?
- A = P(1 + rt)
- A = P(1 + r/n)^(nt) (Correct answer)
- A = P(1 - r)^t
- A = P(rt)
Correct answer: A = P(1 + r/n)^(nt)
The compound interest formula is A = P(1 + r/n)^(nt), where P is the principal, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
Question 2: What is the present value of an annuity?
- The future value of payments
- The sum of discounted future cash flows (Correct answer)
- The total number of payments made
- The interest rate over time
Correct answer: The sum of discounted future cash flows
The present value of an annuity is the sum of all future cash flows discounted to the present using a given interest rate.
Question 3: Which of the following best describes an actuarial present value?
- The nominal value of future payments
- The expected value of future payments, discounted for time and probability (Correct answer)
- The total payout without discounting
- The current interest rate
Correct answer: The expected value of future payments, discounted for time and probability
The actuarial present value represents the expected value of future cash flows, discounted for both time and probability of occurrence.
Question 4: What does the time value of money principle state?
- Money has no value over time
- A dollar today is worth more than a dollar in the future (Correct answer)
- Interest rates have no impact on value
- Only inflation affects money’s value
Correct answer: A dollar today is worth more than a dollar in the future
The time value of money principle states that a dollar today is worth more than a dollar in the future due to its potential earning capacity.
Question 5: Which type of interest grows exponentially over time?
- Simple interest
- Compound interest (Correct answer)
- Fixed interest
- Linear interest
Correct answer: Compound interest
Compound interest grows exponentially because interest is earned on both the initial principal and the accumulated interest.
Question 6: What does an amortization schedule show?
- A summary of bank transactions
- A breakdown of loan payments over time (Correct answer)
- The total interest rate
- The highest possible loan amount
Correct answer: A breakdown of loan payments over time
An amortization schedule provides a detailed breakdown of loan payments over time, showing principal and interest portions.
CAA Financial Mathematics
What is the formula for compound interest?