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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:

What lump sum deposited today would allow payments of $2000/year for 7 years at 5% compounded annually?

A) 11572.71 B) 11876
C) 189756 D) 11576
 
Answer & Explanation Answer: A) 11572.71

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:2.1

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

Explanation:

i=j/m

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0 3113
Q:

The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: A) 2

Explanation:

Amount = Rs. (30000 + 4347) = Rs. 34347

(1+7/100)^n=34347

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0 3107
Q:

What amount must you invest now at 4% compounded monthly to accumulate $10,000 after 3 year

A) 8695 B) 7695
C) 3695 D) 4695
 
Answer & Explanation Answer: A) 8695

Explanation:

Given: j = 4%, m=  12, FV = $10,000, Term=  3.5 years
Then n  =m  *Term  12(3.5)  42

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0 3104
Q:

Calculate the effective interest rate compounded quarterly of a 13% annual rate.

A) 13.65% B) 14.665%
C) 15.65% D) 16.65%
 
Answer & Explanation Answer: A) 13.65%

Explanation:

E=(1+i/n)^n-1

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0 3099
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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1 3085
Q:

Calculate the periodic interest rate corresponding to 9.5% compounded monthly

A) 0.7916 B) 0.8916
C) 0.9916 D) 0.6916
 
Answer & Explanation Answer: A) 0.7916

Explanation:

i=j/m

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0 3084
Q:

Calculate the effective interest rate of a 10% annual rate compounded continuously.

A) 9.52% B) 10.52%
C) 11.52% D) 12.52%
 
Answer & Explanation Answer: B) 10.52%

Explanation:

E=e^i-1

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