Finance and Investment Concepts: Compounding, Present & Future Value, Annuities, and Loan Calculations

Question 1: How does compounding affect the growth of an investment over time compared to simple interest? (a) Compounding leads to faster growth (b) Compounding leads to slower growth than simple interest (c) Compounding only affects short-term investments (d) Compounding and simple interest result in the same growth

Compounding leads to faster growth

Question 2: If Project X has a Future Value of $150,000 and Project Y has a Future Value of $140,000 after the same time period and at the same interest rate, which project had a higher initial investment? (a) Both had the same initial investment (b) It's impossible to determine without more information (c) Project Y (d) Project X

Project X

Question 3: Calculate the number of months required to pay off a loan of $22,000 with an annual interest rate of 5.00% (compounded monthly) if you make monthly payments of $444. (a) 49.55 (b) 8.00 (c) 55.61 (d) 45.14

45.14

Question 4: You're offered $3,000 today or $1,000 at the start of each year for 3 years. If the interest rate is 5%, what is the difference in dollars between the present values of both options? (a) $450.71 (b) $310.13 (c) $140.59 (d) $0

$0

Question 5: 5 years ago, you invested $180,000 in a rental house that has generated rental income of $2,780 every month over that same period. You just sold the house, and achieved a total annualized rate of return of 28.60%. How much did you sell the house for? (a) $608,639 (b) $43,128 (c) $376,988 (d) $176,543

$376,988

Question 6: Calculate the absolute difference in dollars between the future values of two investments: one with $4,000 invested for 6 years at 5.10% compounded annually and the other with the same amount invested for the same period at 5.10% compounded monthly. (a) $1,122 (b) $37 (c) $10,782 (d) $5,428

$10,782

Question 7: Determine the number of months required to reach $280,000 when starting with $190,000 and adding $397 monthly at an annual return of 6.80% compounded monthly. (a) -52.59 (b) 68.62 (c) 52.59 (d) 1,059.46

1,059.46

Question 8: What is the future value of $1,200 invested for 6 years at a 6.80% annually compounded interest rate? (a) $809 (b) $1,282 (c) $1,831 (d) $1,781

$1,781

Question 9: How does the concept of time affect the relationship between Present Value and Future Value? (a) As time increases, Present Value and Future Value converge (b) As time increases, the difference between Present Value and Future Value typically grows larger (c) Time has no effect on the relationship between Present Value and Future Value (d) The relationship is only affected by interest rates, not time

As time increases, the difference between Present Value and Future Value typically grows larger

Question 10: Why is the present value of a perpetuity a finite number, even though it represents an infinite stream of payments? (a) The formula artificially limits the value (b) Payments eventually stop (c) Due to discounting, far future payments are worth ~0 (d) Formula cuts off after 100 years

Due to discounting, far future payments are worth ~0

Question 11: Calculate the present value needed to accumulate $45,000 in 10 years with an annual compound interest rate of 3.70%. (a) $31,291 (b) $121,622 (c) $30,866 (d) $45,000

$121,622

Question 12: In the context of savings accounts, how does comparing EAR instead of APR benefit the consumer? (a) No benefit (b) APR better (c) EAR lower (d) EAR more accurate

EAR provides a more accurate representation of the actual return

Question 13: What is the present value of $9,000 to be received in 5 years, discounted at 6.00% annually? (a) $12,044 (b) $6,725 (c) $6,605 (d) $12,263

$6,725

Question 14: In present value calculations, how does an ordinary annuity differ from a perpetuity? (a) Neither ends (b) Perpetuity ends (c) Both end (d) Annuity ends, perpetuity infinite

An ordinary annuity has a specific end date, while a perpetuity's payments continue indefinitely

Question 15: Which of the following is an example of an annuity? 1. Mortgage 2. Student loan 3. Lump-sum lottery payoff (a) 1 and 2 only (b) All (c) 1 and 3 (d) 2 and 3

1 and 2 only

Question 16: In loan repayment, what does a shorter number of periods imply? (a) Higher payments, less interest (b) Lower payments, less interest (c) Lower payments, more interest (d) Higher payments, more interest

Higher monthly payments but less total interest paid

Question 17: If an investment grows by a factor of 3 over 10 years, what is the annual rate of return? (a) 0.92% (b) 6.67% (c) 3.33% (d) 11.61%

11.61%

Question 18: What happens to annuity payment if number of periods increases? (a) Increases (b) Decreases (c) Unpredictable (d) Same

The payment amount decreases

Question 19: In a mortgage, what does the annuity payment represent? (a) Principal only (b) Interest only (c) Both principal and interest (d) Down payment

The regular instalment that covers both principal and interest

Question 20: What effect does halving the interest rate have on the present value of an annuity? (a) Increases PV (b) No effect (c) Doubles PV (d) Halves PV

It increases the present value