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 Compound Interest Questions

Popular Latest Rated Important Formulae

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:

An amount of 5,000 is invested at a fixed rate of 8 per cent per annum. What amount will be the value of the investment in five years time, if the interest is compounded annually

A) 7346.64 B) 8346
C) 3456 D) 4567
 
Answer & Explanation Answer: A) 7346.64

Explanation:

The only part of this type of calculation that needs particular
care is that concerning the interest rate. The formula assumes that
r is a proportion, and so, in this case:
r = 0.08
In addition, we have P = 5,000 and n = 5, so:
V = P(1 + r)5 = 5,000 x (1 + 0.08)5 = 5,000 x 1.469328 = 7,346.64
Thus the value of the investment will be 7,346.64

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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:

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:

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:

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:

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:

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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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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