Practice Test - 3 Q&A
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Jan 9, 2024
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1 | P a g e Unit Convenor: Miraj Ahmmod Answers: Practice Test – 3 This test covers topic 2B. You can complete this test for your own test preparation. Your answers will not be monitored and will can be used to give you an idea of how well you are learning the topics. Question 2.3 Keith will be starting a 6-month live in training course in 4 months’ time. His mother, Karen, has promised him a living allowance of $300 per month to help support him during this time. If the interest rate is 8 percent per annum, compounding monthly how much money will Karen need to set aside today to finance Keith’s allowance? Answers: FV 1758.73 N 4 I/Y 8/12 Comp PV 1712.61
Question 2.4 Ben will be starting a 4 year apprenticeship in 12 months’ time. His mother, Mary, has promised him a living allowance of $100 per month to help support him during this time. Required If the interest rate is 8 percent per annum, compounding monthly how much money will Mary need to set aside today to finance Ben’s allowance? Answer: PMT
100
I/Y
8/12
N
4 x 12
Comp PV
$4096.19
Pmt 300 I/Y 8/12 N 6 Comp PV = 1758.7356
2 | P a g e Unit Convenor: Miraj Ahmmod FV
$4096.19
I/Y
8/12
N
1 x 12
Comp PV
$ 3782.27
Question 2.5 (a)
If you were given the choice of borrowing at an interest rate of 9.50% p.a. simple interest, or 9.2% p.a. compounded monthly, which should you choose? Why? (b)
Your brother has a debt that he may repay by paying $5,000 now or $10,000 in four years’ time. If the interest rate is 14% p.a. compounded monthly, would you advise him to repay the debt now or in four years? Why? (c)
Your sister has just graduated from university and has begun employment with an investment bank. She intends to retire in 30 years from now and would like to be able to withdraw $30000 per year from her savings for a period of 20 years after retirement. She expects to earn 9% annually on her savings. Assuming end of year cash flows, what equal annual amount must your sister save during her 30 years of employment in order to be able to withdraw the desired annual amount during the 20 years of retirement? Answers: (a)
Eff 9.598%; therefore take the cheaper rate 9.50%
(b)
Eff 14.934% PV $5000 vs PV $5730.64; therefore pay $5000 today.
(c)
PV $273,856.37 therefore $2009.11 annual saving for 30 years.
Question 2.6 Ann borrowed $500,000 to purchase an apartment in Port Melbourne. The loan requires monthly repayments over 15 years. When she borrowed the money the interest rate was 6 percent per annum, but 2 years later the bank increased the interest rate to 7 percent per annum, in line with market rates. The bank tells Ann she can: •
increase her monthly repayment (so as to pay off the loan by the originally agreed date) (First Option) or •
she can extend the term of the loan (and keep making the same monthly repayments) (Second Option). Calculate: (a)
The new monthly repayment if Ann accepts the first option. (b)
The extra period to the loan term if Ann accepts the second option. Answers: (a)
The new monthly repayment if Ann accepts the first option:
3 | P a g e Unit Convenor: Miraj Ahmmod PV
500,000
N
15 X 12
I
6/12
COMP PAYMENT
$4,219.2841
PMT
$4,219.2841
N
13 X 12
I
6/12
COMP PV
$456,275.2427
PV
$456,275.2427
N
13 X 12
I
7
/12
COMP PAYMENT
$4 462.71
(b)
The extra period to the loan term if Ann accepts the second option. PV
$456,275.2427
I
7/12
PAYMENT
(4 219.2841)
COMP N
171.32 months/12 = 14.28 yrs
Extra 15.32 months
Question 2.7 Ron borrowed $800,000 to purchase an apartment in Hawthorn. The loan requires monthly repayments over 10 years. When he borrowed the money the interest rate was 5 percent per annum, but 3 years later the bank increased the interest rate to 6 percent per annum, in line with market rates. The bank tells Ron he can: •
increase his monthly repayment (so as to pay off the loan by the originally agreed date) (First Option) or •
he can extend the term of the loan (and keep making the same monthly repayments) (Second Option). Calculate (a)
The new monthly repayment if Ron accepts the first option; and (b)
The extra period to the loan term if Ron accepts the second option. Answers: PV
800,000
N
10 X 12
I
5/12
COMP PMT
$8485.2412
PMT
$8485.2412
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4 | P a g e Unit Convenor: Miraj Ahmmod N
7 X 12
I/Y
5/12
COMP PV
$600,346.39
PV
$600,346.39
N
7 X 12
I/Y
6/12
COMP PMT
$8,770.19
An extra $284.95 per month
Question 2.8 You want to buy a $10,000 car and have it paid off in 1.5 years. How much are your monthly repayments
assuming the current rate is 10% compounded monthly? Answers: 1.5 x 12 N 10/12 I/Y 10,000 PV 0 FV Comp PMT = $600.57
Question 2.9 You have determined you can afford to pay $350 per month toward a new convertible sports car. You see
an advertisement in the paper for a bank loan at the rate of 15% pa and you want to make monthly
payments over the next 4 years. How much can you borrow? Answers: 350 PMT 4 x 12 N 15 / 12 I/Y 0 FV Comp PV = $12,576.02
Question 2.10 Answer the following questions.
(a)
What is an NIR?
(b)
What is an EAR?
(c)
What is the difference between NIR and EAR?
(d)
If an interest rate is given as 10 percent compounded daily what do we call this rate.
Answers: (a)
Nominal interest rate (b)
Effective annual rate (c)
Compounding (d)
NIR
5 | P a g e Unit Convenor: Miraj Ahmmod Question 2.11 You want to buy a $15,000 car and have it paid off in 2.5 years. How much are your monthly payments
assuming the rate is 9 percent compounded monthly? Answers: PV
15000
N
2.5 x 12
I
9/12
FV
0
PMT
$560.22
Question 2.12 You are considering an investment in venture capital that will return nothing in the first three years, $50,000
in the fourth year and $400,000 a year in perpetuity after that. What is the present value of the investment,
given an interest rate of 8% per annum? Answers: 0
1
2
3
4
5
400000 /0.08
5000 000
+ 50 000
3711900.76
5050 000
(discount back at
8% for 4 years
)
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