Quantitative Aptitude ยท Commerce Accountancy

Interest and Annuities

621 Questions

Interest and annuities represent a critical quantitative aptitude section focusing on the mathematical calculation of simple interest, compound interest, and future values of investments. Questions challenge candidates to determine maturity values, compute recurring deposit returns, and calculate prevailing interest rates. Mastery of this topic is essential for scoring high in banking and SSC examinations.

Simple and compound interestFuture value of annuitiesRecurring deposit calculationsInterest rate determinationPresent value formulas

Interest and Annuities Questions

Multiple choice

What is the formula for calculating the future value of an annuity?

  1. FV = PMT * [(1 + r)^n - 1] / r

  2. FV = PMT * [(1 - r)^n - 1] / r

  3. FV = PMT * r^n

  4. FV = PMT / [(1 + r)^n - 1] / r
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The formula for calculating the future value (FV) of an annuity is FV = PMT * [(1 + r)^n - 1] / r, where PMT is the periodic payment, r is the interest rate, and n is the number of compounding periods.

Multiple choice

What is the formula for calculating the present value of an annuity?

  1. PV = PMT * [1 - (1 + r)^-n] / r

  2. PV = PMT * [1 - (1 - r)^-n] / r

  3. PV = PMT * r^n

  4. PV = PMT / [1 - (1 + r)^-n] / r
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The formula for calculating the present value (PV) of an annuity is PV = PMT * [1 - (1 + r)^-n] / r, where PMT is the periodic payment, r is the interest rate, and n is the number of compounding periods.

Multiple choice

What is the formula for calculating the internal rate of return (IRR) of an investment?

  1. IRR = (FV - PV) / PV

  2. IRR = (FV + PV) / PV

  3. IRR = (FV - PV) / FV

  4. IRR = (FV + PV) / FV
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The formula for calculating the internal rate of return (IRR) of an investment is IRR = (FV - PV) / PV, where FV is the future value, PV is the present value, and n is the number of compounding periods.

Multiple choice

What is the interest rate on federal student loans?

  1. 4.99%

  2. 5.05%

  3. 5.75%

  4. 6.88%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The interest rate on federal student loans is 4.99%.

Multiple choice

What is the interest rate charged on outstanding income tax dues?

  1. 1% per month

  2. 2% per month

  3. 3% per month

  4. 4% per month
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Interest at the rate of 1% per month is charged on outstanding income tax dues.

Multiple choice

What is the interest rate charged on outstanding GST dues?

  1. 1% per month

  2. 2% per month

  3. 3% per month

  4. 4% per month
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Interest at the rate of 1% per month is charged on outstanding GST dues.

Multiple choice

A sum of money doubles itself in 10 years at a certain rate of simple interest. What is the rate of interest per annum?

  1. 5%

  2. 10%

  3. 15%

  4. 20%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the sum of money be P and the rate of interest be r. According to the question, P * (1 + r * 10) = 2P. Dividing both sides by P, we get 1 + r * 10 = 2. Subtracting 1 from both sides, we get r * 10 = 1. Therefore, r = 1 / 10 = 0.1 = 10%.

Multiple choice

A sum of money doubles itself in 10 years at a certain rate of simple interest. What is the rate of interest per annum?

  1. 5%

  2. 10%

  3. 15%

  4. 20%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the sum of money be P and the rate of interest be r. According to the question, P * (1 + r * 10) = 2P. Dividing both sides by P, we get 1 + r * 10 = 2. Subtracting 1 from both sides, we get r * 10 = 1. Therefore, r = 1 / 10 = 0.1 = 10%.

Multiple choice

What is the interest rate on federal student loans?

  1. 4.99%

  2. 5.99%

  3. 6.99%

  4. 7.99%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The interest rate on federal student loans is 4.99% for undergraduate students and 6.99% for graduate students.

Multiple choice

What is the typical repayment period for a state loan?

  1. 5 years

  2. 10 years

  3. 15 years

  4. 20 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The typical repayment period for a state loan is 10 years.

Multiple choice

A sum of money becomes (\frac{13}{12}) of itself in 2 years at a certain rate of simple interest. What is the rate of interest per annum?

  1. 6%

  2. 8%

  3. 10%

  4. 12%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Simple Interest = (Principal * Rate * Time) / 100. Let the principal be (P) and the rate of interest be (R\%). In 2 years, the amount becomes (\frac{13}{12}P). Therefore, (\frac{13}{12}P = P + (P * R * 2) / 100). Simplifying the equation, we get (R = 12\%.

Multiple choice

A sum of money becomes (\frac{13}{12}) of itself in 2 years at a certain rate of simple interest. What is the rate of interest per annum?

  1. 6%

  2. 8%

  3. 10%

  4. 12%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Simple Interest = (Principal * Rate * Time) / 100. Let the principal be (P) and the rate of interest be (R\%). In 2 years, the amount becomes (\frac{13}{12}P). Therefore, (\frac{13}{12}P = P + (P * R * 2) / 100). Simplifying the equation, we get (R = 12\%.

Multiple choice

What is the interest rate on federal student loans?

  1. 3.73%

  2. 4.73%

  3. 5.73%

  4. 6.73%
Reveal answer Fill a bubble to check yourself
Correct answer
Explanation

The interest rate on federal student loans is 3.73%.

Multiple choice

What is the interest rate applicable on delayed GST refunds?

  1. 6%

  2. 9%

  3. 12%

  4. 15%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The interest rate applicable on delayed GST refunds is 6% per annum.

Multiple choice

What is the current mortgage rate for a 30-year fixed loan?

  1. 2%

  2. 3%

  3. 4%

  4. 5%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The current mortgage rate for a 30-year fixed loan is around 3%.