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Q:

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

A) 20.1 B) 21.1
C) 22.1 D) 23.1
 
Answer & Explanation Answer: D) 23.1

Explanation:

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

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Q:

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

A) 2.3 B) 3.3
C) 4.3 D) 6.3
 
Answer & Explanation Answer: D) 6.3

Explanation:

 

 

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

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Q:

If you deposit $5000 into an account paying 6% annual interest compounded monthly, how long until there is $8000 in the account?

A) 6.9 B) 7.9
C) 8.9 D) 9.9
 
Answer & Explanation Answer: B) 7.9

Explanation:

 

 

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

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Q:

How much money would you need to deposit today at 9% annual interest compounded monthly to have $12000 in the account after 6 years?

A) 9007 B) 4007
C) 7007.08 D) 8oo7
 
Answer & Explanation Answer: C) 7007.08

Explanation:

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

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Q:

If you deposit $6500 into an account paying 8% annual interest compounded monthly, how
much money will be in the account after 7 years?

A) 11358.24 B) 12334
C) 15789 D) 12386
 
Answer & Explanation Answer: A) 11358.24

Explanation:

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

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Q:

If you deposit $4000 into an account paying 6% annual interest compounded quarterly, how much money will be in the account after 5 years ?

A) 3387.42 B) 4387.42
C) 5387.42 D) 6387.42
 
Answer & Explanation Answer: C) 5387.42

Explanation:

The mathematical formula for calculating compound interest depends on several factors. These factors include the amount of money deposited called the principal, the annual interest rate (in decimal form), the number of times the money is compounded per year, and the number of years the money is left in the bank.

 FV=p1+rnnt

 

FV = Future value of the Deposit

 

p = Principal or Amount of Money deposited

 

r = Annual Interest Rate (in decimal form )

 

n = No of times compounded per year

 

t = time in years

FV=40001+0.0644(5)= 5387.42

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Q:

Jason decides to borrow money for a holiday. If a personal loan is taken over 4 years with equal quarterly repayments at 12% p.a. flat rate (simple interest), calculate the effective rate of interest.

A) 22,588 B) 32.588
C) 42.588 D) 43.588
 
Answer & Explanation Answer: A) 22,588

Explanation:

Flat rate = 12%
n = 4 × 4
= 16

Effective rate =2n/(n+1) × flat rate

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Q:

If there is a total of 104 weekly instalments and a third deposit, find: the total cost of the computer

A) 3932.55 B) 4932
C) 5932 D) 6932
 
Answer & Explanation Answer: A) 3932.55

Explanation:

Total cost = deposit + loan + interest
= 1231.67 + 2463.33 + 237.55
= $3932.55

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