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L10: Compound interest application

Total questions: 10

Worksheet time: 25mins

Name
Class
Date
1.

Sean invests $2000 at 6% compounded quarterly for three years.  Find the amount of the investment at the end of three years.

a)

a)     $2382

b)

b)    $2091

c)

c)     $2370

d)

d)    $2391

2.

A non-interest bearing promissory note has a face value of $950.  Find the proceeds of this note if it is discounted 3½ years before its maturity date at 8% compounded quarterly.

a)

a)     $719.98

b)

b)    $771.65

c)

c)     $725.67

d)

d)    $657.22

3.

A payment of $1500 is due in three months.  Find the equivalent value at nine months if the interest rate is 4% compounded quarterly.

a)

a)     $1500

b)

b)    $1530

c)

c)     $1560

d)

d)    $1470

4.

How many years will it take $1.00 to triple to $3.00 at an annual rate of 5%.

a)

a)     28.5 years

b)

b)    22.5 years

c)

c)     61.49 years

d)

d)    70 years

5.

What is the quarterly compounded rate if $1300 accumulates to $1564 in 3 years?

a)

a.     6.2%

b)

b.     25.4%

c)

c.     1.6%

d)

d.     6.8%

6.

Effective rate is   

a)

Always the same as the periodic rate

b)

Decreases with increasing compounding frequency in the nominal rate

c)

Increases with increasing compounding frequency in the nominal rate

d)

Does not depend on the compounding in the nominal rate

7.

The effective annual rate for 6.4% compounded quarterly is:

a)

a)     6.4%

b)

b)    6.56%

c)

c)     6.54%

d)

d)    6.5%

8.

If the effective rate of interest on an investment is 4.8%, what is the nominal rate of interest compounded quarterly?

a)

   4.54%

b)

4.72%

c)

  1.20%

d)

5.23%

9.

Equivalent rates

a)

Are rates that have the same value

b)

Are rates that have the same compounding frequency

c)

Are rates that produce the same future values over the same period of time

d)

Are rates that have annual compounding

10.

Find the nominal rate of interest compounded quarterly equivalent to 12.3% compounded monthly.

a)

  3.1%

b)

12.4%

c)

7.7%

d)

12.8%