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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:2.1

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

Explanation:

i=j/m

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0 3504
Q:

Sharon Stone deposits $500 at the beginning of each 3 months in an account earning 10% compounded quarterly. Determine how much money she has after 25 years

A) 22681.19 B) 23456
C) 44577 D) 25685
 
Answer & Explanation Answer: A) 22681.19

Explanation:

 

 

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

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0 3490
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 3482
Q:

A retirement benefit of $12,000 is to be paid every 6 months for 25 years at interest rate of 7% compounded semi-annually. Find

(a) the present value to fund the end-of-period retirement benefit.

(b) the end-of-period semi-annual payment needed to accumulate  the value in part (a) assuming regular investments for 30 years in an account yielding 8% compounded semi-annually

A) 245678 B) 234689
C) 281468.06 D) 234578
 
Answer & Explanation Answer: C) 281468.06

Explanation:

 

 

 

 

 

 

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

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0 3468
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 3459
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 3440
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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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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