Q: $10,000 face value strip bond has 15 years remaining until maturity. If the prevailing market rate of return is 6.5% compounded semiannually, what is the fair market value of the strip bond?

i=j/m n =m(Term) = 2(15.5) =31 Fair market value Present value of the face value =FV(1+ i)^-n

Q: A five-year promissory note with a face value of $3500, bearing interest at 11% compounded semiannually, was sold 21 months after its issue date to yield the buyer 10% compounded quarterly.What amount was paid for the note

i=j/m Maturity value = PV(1 + i)^n Term = 5 years - 21 months= 3.25 years Price paid = FV(1+ i )^-n

Question 1

What will Rs.1500 amount to in three years if it is invested in 20% p.a. compound interest, interest being compounded annually?

Accepted Answer

The usual way to find the compound interest is given by the formula A = .p(1+r/100)^n In this formula, A is the amount at the end of the period of investment P is the principal that is invested r is the rate of interest in % p.a And n is the number of years for which the principal has been invested. In this case, it would turn out to be A =1500(1+20/100)^3 = 2592.

Question 2

Mr. Gupta borrowed a sum of money on compound interest. What will be the amount to be repaid if he is repaying the entire amount at the end of 2 years? I. The rate of interest is 5 p.c.p.a. II. Simple interest fetched on the same amount in one year …

Accepted Answer

I. gives, Rate = 5% p.a. II. gives, S.I. for 1 year = Rs. 600. III. gives, sum = 10 x (S.I. for 2 years). Now I, and II give the sum. For this sum, C.I. and hence amount can be obtained. Thus, III is redundant. Again, II gives S.I. for 2 years = Rs. (600 x 2) = Rs. 1200. Now, from III, Sum = Rs. (10 x 1200) = Rs . 12000. Thus,Rate = 100 * 1200 2 * 12000 =5% Thus, C.I. for 2 years and therefore, amount can be obtained. Thus, I is redundant. Hence, I or III redundan

Question 3

At 3% annual interest compounded monthly, how long will it take to double your money?

Accepted Answer

At first glance it might seem that this problem cannot be solved because we do not have enough information. It can be solved as long as you double whatever amount you start with. If we start with $100, then P = $100 and FV = $200. FV=P(1+r/n)^nt

Question 4

Find the principal if the interest compounded at the rate of 10% per annum for two years is Rs. 420 ?

Accepted Answer

Given, Compound rate, R = 10% per annum Time = 2 years C.I = Rs. 420 Let P be the required principal. A = (P+C.I) Amount, A = P 1 + r 100 n (P+C.I) = P 1 + 10 100 2 (P+420) = P[11/10][11/10] P-1.21P = -420 0.21P = 420 Hence, P = 420/0.21 = Rs. 2000

Question 5

Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit ?

Accepted Answer

Amount = 8000 1 + 5 100 2 = 8000 x 21/20 x 21/20 = Rs. 8820

Question 6

An article costs Rs 50 presently. The rate of inflation is 300%. What will be cost of this article after two years?

Accepted Answer

A = P ( 1 + r / 100 ) n ⇒ 50 ( 1 + 300 / 100 ) 2 ⇒ 50 ( 4 ) 2 ⇒ 800

Question 7

The compound interest earned in two years at 12% per annum is Rs 10176. What is the sum (in Rs) invested?

Accepted Answer

40000

Question 8

If you deposit $8000 into an account paying 7% annual interest compounded quarterly, how long until there is $12400 in the account?

Accepted Answer

FV=P(1+r/n)^nt

Question 9

$10,000 face value strip bond has 15 years remaining until maturity. If the prevailing market rate of return is 6.5% compounded semiannually, what is the fair market value of the strip bond?

Accepted Answer

i=j/m n =m(Term) = 2(15.5)  =31 Fair market value  Present value of the face value  =FV(1+  i)^-n

Question 10

A five-year promissory note with a face value of $3500, bearing interest at 11% compounded semiannually, was sold 21 months after its issue date to yield the buyer 10% compounded quarterly.What amount was paid for the note

Accepted Answer

i=j/m Maturity value = PV(1 + i)^n Term = 5 years - 21 months=  3.25 years Price paid = FV(1+ i )^-n

Question 11

There is 50% increase in an amount in 5 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate ?

Accepted Answer

Let p = Rs. 100. Then, S.I is Rs. 50 and time = 5 years. ∴ R = 100 × 50 100 × 5 = 10% p.a. Now, p = Rs. 12,000 , T = 3 years and R = 10% p.a. C.I. = Rs. 12000 × 1 + 10 100 3 - 1 = Rs. 3972

Question 12

Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest ?

Accepted Answer

Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year. Rate of interest = (100 x 240) / (1200) = 20% p.a

Question 13

On a certain principal if the simple interest for two years is Rs 2800 and compound interest for the two years is Rs 2996, what is the rate of Interest?

Accepted Answer

14 percent

Question 14

If the difference between the compound interest and the simple interest on a certain sum at the rate of 5% per annum for 2 years is Rs. 20, then the sum is

Accepted Answer

Rs. 8000

Question 15

Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually

Accepted Answer

Amount = Rs[7500x(1+4/100)²] =Rs.(7500 * 26/25 * 26/25) =Rs.8112 C.I = Rs(8112 - 7500) =Rs.612

Question 16

In what time will Rs.1000 become Rs.1331 at 10% per annum compounded annually?

Accepted Answer

Principal = Rs. 1000; Amount = Rs. 1331; Rate = 10% p.a. Let the time be n years. Then, [ 1000 (1+ (10/100))^n ] = 1331 or (11/10)^n = (1331/1000) = (11/10)^3 n = 3 years

Question 17

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

Accepted Answer

j=mi

Question 18

A $1000 face value Series S50 compound interest Canada Savings Bond (CSB) was presented to a credit union branch for redemption.What amount did the owner receive if the redemption was requested on:January 17, 2001?

Accepted Answer

I  = ptr Therefore, the total amount the owner received on January 17, 2001 was $1295.57 + $10.47 = $1306.04

Question 19

What is the difference (in Rs) between the compound interests on Rs. 1000 for 1 year at 10% per annum compounded yearly and half-yearly?

Accepted Answer

2.5

Question 20

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 1,800, and Rs 1,926 respectively, what is the rate of interest?

Accepted Answer

7%

Compound Interest Questions