Compound Interest problems
- 1. If you deposit $5000 into an account paying 6% annual interest compounded monthly, how long until there is $8000 in the account?
Options- A. 6.9
- B. 7.9
- C. 8.9
- D. 9.9 Also asked in: Bank Exams, Bank PO
Correct Answer: 7.9
Explanation:
FV=P(1+r/n)^nt
- 2. Calculate the future value of $3,000 invested at 7% for 5 years
Options- A. 4207.66
- B. 5207
- C. 4376
- D. 5687 Also asked in: Bank Exams, Bank PO
Correct Answer: 4207.66
Explanation:
F=P(1+i)^n
- 3. Assume that money can be invested at 8% compounded quarterly,which is larger,$2500 now or $3800 in 5 years?
Options- A. 1557.29
- B. 2557.29
- C. 2567
- D. 2457 Also asked in: Bank Exams, Bank PO
Correct Answer: 2557.29
Explanation:
First find the present value of $3800,then compare present values:
M = p(1+i/4)^4n
- 4. The periodic interest rate corresponding to: 9.75% compounded semiannually
Options- A. 4.875
- B. 3.785
- C. 4.865
- D. 4.975 Also asked in: Bank Exams, Bank PO
Correct Answer: 4.875
Explanation:
i=j/m
- 5. Two payments of $10,000 each must be made one year and four years from now. If money can earn 9% compounded monthly, what single payment two years from now would be equivalent to the two scheduled payments?
Options- A. 19296
- B. 19396
- C. 19496
- D. 19596 Also asked in: Bank Exams, Bank PO
Correct Answer: 19296
Explanation:
The single equivalent payment will be PV + FV.
FV = Future value of $10,000, 12 months later
$10,000 *(1.0075)/12
$10,938.07
PV= Present value of $10,000, 24 months earlier
$10,000/(1.0075)24
$8358.31
The equivalent single payment is
$10,938.07 + $8358.31 = $19,296.38
- 6. A chartered bank offers a five-year Escalator Guaranteed Investment Certificate.In successive years it pays annual interest rates of 4%, 4.5%, 5%, 5.5%, and 6%, respectively, compounded at the end of each year. The bank also offers regular five-year GICs paying a fixed rate of 5% compounded annually. Calculate and compare the maturity values of $1000 invested in each type of GIC. (Note that 5% is the average of the five successive one-year rates paid on the Escalator GIC.)
Options- A. 1276.28
- B. 1234
- C. 1278
- D. 1256 Also asked in: Bank Exams, Bank PO
Correct Answer: 1276.28
Explanation:
FV = $1000(1.04)(1.045)(1.05)(1.055)(1.06) = $1276.14
the maturity value of the regular GIC is
FV = $ 1000 x = $1276.28
- 7. If the rate of inflation for the next 20 years is 2.5% per year, what annual income will be needed 20 years from now to have the same purchasing power as a $30,000 annual income today?
Options- A. 39158
- B. 49158
- C. 59158
- D. 69158 Also asked in: Bank Exams, Bank PO
Correct Answer: 49158
Explanation:
i=j/m
FV = PV(1+ i)^n
- 8. Payments of $2000 and $1000 were originally scheduled to be paid one year and five years, respectively, from today. They are to be replaced by a $1500 payment due four years from today, and another payment due two years from today. The replacement stream must be economically equivalent to the scheduled stream. What is the unknown payment, if money can earn 7% compounded semiannually?
Options- A. 1548
- B. 1348
- C. 1648
- D. 1748 Also asked in: Bank Exams, Bank PO
Correct Answer: 1648
Explanation:
FV1 = Future value of $2000, 1 year later
= PV (1+ i)^n
- 9. The compound interest on a certain sum for 2 years at 10% per annum is Rs. 1155. The simple interest on the same sum for double the time at half the rate percent per annum is ?
Options- A. Rs. 1100
- B. Rs. 5500
- C. Rs. 1400
- D. Rs. 4120 Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: Rs. 1100
Explanation:
Let the sum be Rs.x. Then,
=> x =5500
sum = Rs. 5500.
So, S.I = Rs. = 1100
- 10. In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ?
Options- A. Quarter months
- B. Half year
- C. 2 years
- D. 1 year Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: Half year
Explanation:
3300 ----- 3% ? (1st time interval, 99) ? 3399.
Here, time interval is given as half-yearly i.e. 6 months.
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