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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:

For a nominal interest rate of 8.4%, what is the compounding frequency if the periodic interest rate is:0.7

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: D) 12

Explanation:

i=j/m

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0 3040
Q:

A certain sum is invested for 2 years in scheme M at 20% p.a. compound interest (compounded annually), Same sum is also invested for the same period in scheme N at k% p.a. simple interest. The interest earned from scheme M is twice of that earned from scheme N. What is the value of k?

A) 7 B) 11
C) 9 D) 13
 
Answer & Explanation Answer: B) 11

Explanation:

Interest earned in scheme M =   

P1 + 201002  - 1  = 11P25

Interest earned in scheme N =  

P x k x 2100 = Pk50

 

Now, from the given data,

 

11P25 = 2 x Pk50

k = 11

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20 3033
Q:

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?

A) 1232 B) 1243
C) 1254 D) 1262
 
Answer & Explanation Answer: A) 1232

Explanation:

i=j/m

 

FV=  PV(1+  i)^n 

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0 3015
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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2 3010
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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0 2987
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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0 2979
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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0 2979
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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0 2959