Compound Interest problems
- 1. Calculate the periodic interest rate corresponding to 9.5% compounded monthly
Options- A. 0.7916
- B. 0.8916
- C. 0.9916
- D. 0.6916 Discuss
Correct Answer: 0.7916
Explanation:
i=j/m
- 2. Determine the nominal rate of interest if: The periodic rate is 0.83% per month
Options- A. 7%
- B. 8%
- C. 9%
- D. 10% Discuss
Correct Answer: 10%
Explanation:
j=mi
- 3. Other things being equal, would an investor prefer an interest rate of 10.5% compounded monthly or 11% compounded annually for a two-year investment?
Options- A. 1232
- B. 1243
- C. 1254
- D. 1262 Discuss
Correct Answer: 1232
Explanation:
i=j/m
FV= PV(1+ i)^n
- 4. If an investment can earn 4% compounded monthly, what amount must you invest now in order to accumulate $10,000 after 3 years?
Options- A. 8695.61
- B. 6786
- C. 3478
- D. 4092 Discuss
Correct Answer: 8695.61
Explanation:
i=j/m
PV = FV (1+ i)^-n
- 5. Kramer borrowed $4000 from George at an interest rate of 7% compounded semiannually. The loan is to be repaid by three payments. The first payment, $1000, is due two years after the date of the loan. The second and third payments are due three and five years, respectively, after the initial loan. Calculate the amounts of the second and third payments if the second payment is to be twice the size of the third payment.
Options- A. 1389
- B. 1359
- C. 1379
- D. 1339.33 Discuss
Correct Answer: 1339.33
Explanation:
Given:j=7% compounded semiannually making m=2 and i = j/m= 7%/2 = 3.5%
Let x represent the third payment. Then the second payment must be 2x.
PV1,PV2, andPV3 represent the present values of the first, second, and third payments.
Since the sum of the present values of all payments equals the original loan, then
PV1 + PV2 +PV3 =$4000 -------(1)
PV1 =FV/(1 + i)^n =$1000/(1.035)^4= $871.44
At first, we may be stumped as to how to proceed for
PV2 and PV3. Let?s think about the third payment of x dollars. We can compute the present value of just $1 from the x dollars
pv=1/(1.035)^10=0.7089188
PV2 =2x * 0.7089188 = 1.6270013x
PV3 =x * 0.7089188=0.7089188x
Now substitute these values into equation ? and solve for x.
$871.442 + 1.6270013x + 0.7089188x =$4000
2.3359201x =$3128.558
x=$1339.326
Kramer?s second payment will be 2($1339.326) =$2678.65, and the third payment will be $1339.33
- 6. What amount must you invest now at 4% compounded monthly to accumulate $10,000 after 3 year
Options- A. 8695
- B. 7695
- C. 3695
- D. 4695 Discuss
Correct Answer: 8695
Explanation:
Given: j = 4%, m= 12, FV = $10,000, Term= 3.5 years
Then n =m *Term 12(3.5) 42
- 7. What periodic payment will an investor receive from a $9000, four-year, monthly payment GIC earning a nominal rate of 5.25% compounded monthly?
Options- A. 29.38
- B. 39.38
- C. 49.38
- D. 59.38 Discuss
Correct Answer: 39.38
Explanation:
i=j/m
The monthly payment will be=PV*I
- 8. At what rate of compound interest per annum will a sum of Rs 10000 become Rs 12321 in 2 years?
Options- A. 22 percent
- B. 11 percent
- C. 7 percent
- D. 15 percent Discuss
Correct Answer: 11 percent
- 9. If the amount received at the end of 2nd and 3rd year as Compound Interest on a certain Principal is Rs 2100, and Rs 2268 respectively, what is the rate (in %) of interest?
Options- A. 7
- B. 8
- C. 9
- D. 10 Discuss
Correct Answer: 8
- 10. A bank offers 15% compound interest per half year. A customer deposits Rs 7200 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by means of interest is
Options- A. Rs 6803
- B. Rs 850
- C. Rs 3402
- D. Rs 1701 Discuss
Correct Answer: Rs 3402
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