Compound Interest Questions

FACTS  AND  FORMULAE  FOR  COMPOUND  INTEREST  QUESTIONS

 

 

Let Principal = P, Rate = R% per annum, Time = n years.

I.

1.  When interest is compound Annually:

Amount =P1+R100n

2.  When interest is compounded Half-yearly:

Amount = P1+(R2)1002n

3.  When interest is compounded Quarterly:

Amount = P1+R41004n

 

II.

1.  When interest is compounded Annually but time is in fraction, say 325 years.

Amount = P1+R1003×1+25R100

2.  When Rates are different for different years, say R1%, R2%, R3% for 1st, 2nd and 3rd year respectively.

Then, Amount = P1+R11001+R21001+R3100

 

III.  Present worth of Rs. x due n years hence is given by:

Present Worth = x1+R100n

Q:

For a nominal interest rate of 8.4%, what is the compounding frequency if the periodic interest rate is:2.1

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: D) 4

Explanation:

i=j/m

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Q:

A loan is made for $3500 with an interest rate of 9% and payments made annually for 4 years. What is the payment amount?

A) 8906 B) 1089
C) 1070 D) 1080.34
 
Answer & Explanation Answer: D) 1080.34

Explanation:

 

A=R[(1+i)^n-1]/i(1+i)^n

 

 

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Q:

Find the finance charge for an average daily balance of $8431.10 with monthly interest rate of 1.4%

A) 98.04 B) 88.04
C) 68.04 D) 118.04
 
Answer & Explanation Answer: D) 118.04

Explanation:

0.014*8431.10

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Q:

For a nominal interest rate of 8.4%, what is the compounding frequency if the periodic interest rate is 4.2

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:

i=j/m

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Q:

Calculate the future value of $3,000 invested at 7% for 5 years

A) 4207.66 B) 5207
C) 4376 D) 5687
 
Answer & Explanation Answer: A) 4207.66

Explanation:

F=P(1+i)^n

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Q:

Determine the nominal rate of interest if:
The periodic rate is 1.75% per quarter.

A) 7% B) 8%
C) 9% D) 10%
 
Answer & Explanation Answer: A) 7%

Explanation:

j=mi

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Q:

A bank offers 10% compound interest per half year. A customer deposits Rs. 5200 each on 1st January and 1st July of a year. At the end of the year, the amount he would have profit by way of interest is:

A) Rs 3224 B) Rs 1612
C) Rs 806 D) Rs 403
 
Answer & Explanation Answer: B) Rs 1612

Explanation:
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Q:

Find the annual interest rate that produces $100,000 from $20,000 in 15 years.

A) 9.33% B) 10.33%
C) 11.33% D) 12.33%
 
Answer & Explanation Answer: C) 11.33%

Explanation:

l=(F/P)^1/n-1

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