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AP/ADMS 3530 3.00 Finance
Final Exam – Summer 2023
August 17, 2023
Exam Version: X - SOLUTIONS
This exam has 45 multiple choice questions
and is worth a total of 45 marks
.
Choose the response that best answers each question. Circle your answers below,
and fill in your answers on the bubble sheet using only a pencil (NOT a pen). Only
the bubble sheet is used to determine your exam score and it will not be
returned to you. Ensure that you write both your full na
m
e
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student ID
# at the
top of this cover page and on the bubble sheet and the version
of your exam (X or Y)
on the bubble sheet.
P
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se note t
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ing points
:
1)
Read the questions carefully and use your time efficiently
.
2) Choose the answers that are closest to yours, because of possible rounding.
3) Keep at least 4 decimal places in your calculations and at least 2 in your final
answers and at least 6 decimal places for interest rates.
4)
Unless otherwise stated
, interest rates are annual
, and bonds pay semi-
annual coupons and have a face value (or par value) of $1,000
.
5) You may use the back of the exam paper as your scrap paper (no scrap paper is
permitted).
6) Instructors and invigilators will not answer questions during the exam.
Page 1
of 19
NUMERICAL QUESTIONS
1. You are retiring today and plan to spend $150,000 per year for the next 20 years. If
you can earn 4.80% annually and your first withdrawal is at the end of this year, how
much should you have saved to finance your retirement?
A) $3,000,000
B) $1,901,443
C) $4,856,337
D) $1,584,535
E) $1,267,628
ANSWER: B
PMT=150,000; N=20; I/Y=4.80%;FV=0; COMP PV
$1,901,443
2. You want to have $1,720,000 at the end of 22 years when you sell your business and
retire to the Bahamas. You have $8,000 to invest now, and you will receive $90,000 at
the end of 10 years from a trust fund. In addition, you plan to invest an equal amount at
the end of every year over the next 22 years to reach your goal. If you can earn 8.90%
annually on your account, how much do you have to invest annually?
A) $26,126
B) $148,982
C) $27,704
D) $17,404
E) $22,831
ANSWER: E
FV of 90,000 at end of 22 years (22-10 =12 yrs):
PV=90,000; N=12, I/Y=8.9%; PMT=0; COMP FV = 250,366.99
NEW FV needed at end of year 22: 1,720,000 – 250,366.99 = 1,469,633.01
Solve for annual savings needed:
FV=1,469,633.01; PV=-8,000; N=22. I/Y=8.90%; COMP PMT
$22,831
3. Based on your new high-paying job, you managed to obtain a $480,000, 30-year
Canadian mortgage with an APR of 6.50% (compounded semiannually). What is your
monthly payment?
A) $2,506
B) $2,714
C) $2,824
D) $3,007
E) $3,254
Page 2
of 19
ANSWER: D
EAR = (1+.0325)^2 -1 = 0.0660563
Im = (1.0660563)^(1/12)-1 = .5345%
PV=-480,000; I/Y=.5345; N=360; FV=0; COMP PMT
$3,007
4. What is the present value of a six-payment annuity of $3,300 per year that begins 5
years from today if the annual discount rate is 5.40%?
A) $14,585
B) $12,714
C) $13,400
D) $16,538
E) $15,690
ANSWER: C
PMT=3300; N=6; I/Y=5.40%; FV=0 COMP PV
4
16,537.63
PV
0
=16,737.63/(1.054)^4 = $13,400.19
5. The following information of a callable bond which pays interest semi-annually is
given: The coupon rate is 3.20% and the number of years to maturity is 12. The bond is
callable at 110% of par value in 6 years. If the par value is $1,000 and the current price
is $940, what is the yield to call?
A) 4.35%
B) 1.83%
C) 7.15%
D) 5.82%
E) 2.25%
ANSWER: D
FV=1110; N=12; PV=-940’ PMT=16; COMP I/Y
2.9078
YTC = 2.9078 x 2 = 5.82%
6. Anthony plans to buy and hold a zero-coupon bond for one year. The face value of
the bond is $1,000. The term to maturity of the bond is 8 years. The yield to maturity at
the beginning of the year is 4.50% and the yield to maturity at the end of the year is
2.90%. What is Anthony's rate of return if he sells the bond after one year? (Assume
annual compounding)
A) 14.50%
B) 2.90%
C) 13.35%
D) 20.19%
Page 3
of 19
E) 16.42%
ANSWER: E
Price at time 0: FV=1000; N=8; I/Y=4.50; PMT=0: COMP PV
703.19
Price at end of year 1: FV=1000; N=7; I/Y=2.90; PMT=0: COMP PV
818.84
HPR = 818.84/703.19 -1 = 0.1642 = 16.42%
7. Harley Inc. just paid a dividend of $6.80 per share. The dividend is expected to grow
at a constant rate forever. The company has a dividend policy of paying out 43% of its
earnings every year. The ROE (return on equity) of reinvestments is 11.40%. The
required rate of return is 12.60%. What is the current stock price?
A) $118.68
B) $111.44
C) $142.42
D) $92.87
E) $61.91
ANSWER: A
P0 = DIV1/(r-g)
g = RR X ROE = 57% x 11.40% = 0.06498
P0 = 6.80 x (1.06498)/(.126 - .06498) = = 7.2419/0.06102 = $118.68
8. Analysts predict that Green Inc.'s earnings and dividends will see growth of 5.60%
annually for the foreseeable future. Shareholders of Green require a 14.90% annual
return and the company just paid a $3.37 annual dividend. Based on this, what will be
the price of Green’s stock in 4 years?
A) $45.06
B) $47.58
C) $42.67
D) $50.25
E) $29.70
ANSWER: B
P0 = DIV0 x(1+g)/(r-g) = [3.37 x (1.056)]/(.149 - .056) = 38.2658
P4 = P0 x (1+g)^4 = 38.2658 x (1.056)^4 = $47.58
Page 4
of 19
9. A project with a net investment today of $250,000 will generate $45,000 in net annual
cash flows forever, starting at the end of year one. Calculate the project’s IRR. A) 18%
B) 20%
C) 22%
D) 24%
E) 28%
ANSWER: A
PV = C / r
$250,000 = 45,000 / r
R = 45,000 / 250,000 = 18%
10. Your company is experiencing capital rationing and looking to choose 1 of 2
competing projects. Project A will cost $25,000 upfront and generate annual cash flows
of $7,500 for 5 years, project B will cost $9,000 upfront and generate cash flows of
$3,000 for the next 5 years. Which project should you pick if the cost of capital is 7%?
A) Project A because its NPV is higher
B) Project B because its NPV is higher
C) Project A because its Profitability Index is higher
D) Project B because its Profitability Index is higher
E) Project B because its IRR is higher
ANSWER: D
When a company is facing capital rationing, PI should be used
NPV project A = -$25,000 + $30,751 = $5,751
PI project A = 5,751/25,000 = 0.23
NPV project B = -$9,000 + $12,301 = $3,301
PI project B = 3,301/9,000 = 0.37
11. What is the NPV of the following project that generates cash flows over the next five
years at $1000, $5500, $7500, $5000, $8000 respectively? The project’s IRR is 9.13%
and its internal cost of capital is 6%. A) $0
B) $1,573
C) $2,075
D) $5,436
E) $20,000
ANSWER: C
PV of CF1= $1000, CF2 = $5500, CF3 = $7500, CF4 = $5000, CF5 = $8000 at Page 5
of 19
i=9.13%
= $19,999 PV of CF1= $1000, CF2 = $5500, CF3 = $7500, CF4 = $5000, CF5 = $8000 at i=6%
= $22,074
NPV = $22,074 - $19,999 = $2,075
12. What is the discounted payback for a project that costs $20,000 today and
generates $10,000, $5,000, and $15,000 over the next three years, if the discount rate
is 10%?
A) 3.1 years
B) 2.4 years
C) 2.2 years
D) 2.6 years
E) 2.8 years
ANSWER: D
Year
CF
PV of CF
Cumulativ
e PV of CF
0
(20,000
)
(20,000
)
1
10,000
9,091
(10,909)
2
5,000
4,132
(6,777)
3
15,000
11,270
4,493
Discounted payback = 2 + 6777/11270 = 2.6 years
13. A company is considering adding a new line of sandals to its existing portfolio. The
company expects to sell 500,000 of these new units at a price of $15, and a variable
cost of $10/unit. The new line of sandals will unfortunately cannibalize their existing
flip/flop product where sales will be reduced by 100,000 units. Flip-flops have a price of
$12 and a variable cost of $8/unit. Fixed costs are $200,000 and will not change. Ignore
taxes. What is the operating cash flow to be used for evaluating this new project? A) $400,000
B) $1,600,000
C) $1,900,000
D) $2,000,000
E) $2,100,000
ANSWER: E
OCF =(15-10)*500000 = $2,500,000
OCF reduction from cannibalization = (12-8)*100000 = -$400,000
Total impact = $2,500,000 - $400,000 = $2,100,000
Page 6
of 19
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b. Yanni's AMT base:
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Click here to access the exemption table. If required, round your answers to the nearest dollar.
Compute the following:
c. Yanni's tentative minimum tax:
$117,400
11,740
10,566
2,348
1,761
94,507
32,647
X +
8,488
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Your answer is incorrect.
Salma wants to save money to open a tutoring center. She buys an annuity with a monthly payment of $27 that pays 3.7% interest, compounded
monthly. Payments will be made at the end of each month. Find the total value of the annuity in 10 years.
Do not round any intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formulas.
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$12345.92
Correct Answer:
$3913.49
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Question 1
What is the Payback Period for the following investment?
Year
1
2
3
4
5
O a. 3.77
Ob. 3.73
Oc. 3.89
Od. 3.96
Cash Out
$ (1,600,000)
(710,000)
Cash In
550,000
580,000
610,000
640,000
670,000
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a) Will credit cards help? The average undergraduate student leaves college with a diploma and
around $2750 in credit card debt (graduate students; $4800). Suppose you have a credit card with a
balance of $2750 and an interest rate of 19.8% APR. The minimum payment is $45.00. The amount
of interest due each month is figured as current balance
where r is the rate (decimal form) and n is
12. Fill in the table, making minimum payments.
Current
balance
Month
Interest
Payment
Amount applied to principal
1
$2750.00
$45.38
$45.00
-$0.38
$2750.38
$45.00
$45.00
4
$45.00
$45.00
$45.00
$45.00
8.
$45.00
9.
$45.00
10
$45.00
11
$45.00
12
$45.00
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Proceeds from Notes Payable
On January 26, Bella Co. borrowed cash from Conrad Bank by issuing a 30-day note with a face amount of $48,000. Assume a 360-day year.
a. Determine the proceeds of the note, assuming the note carries an interest rate of 6%.
b. Determine the proceeds of the note, assuming the note is discounted at 6%.
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The proceeds equal the cash initially received. Proceeds represents how much in value the borrower is walking away with in cash on
merchandise.
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Analysis of Receivables Method
At the end of the current year, Accounts Receivable has
balance of $4,375,000; Allowance for Doubtful Accounts has a debit balance of $21,300; and sale
for the year total $102,480,000. Using the aging method, the balance of Allowance for Doubtful Accounts is estimated as $205,000.
a. Determine the amount of the adjusting entry for uncollectible acfounts.
b. Determine the adjusted balances of Accounts Receivable, Allowance for Doubtful Accounts, and Bad Debt Expense.
Accounts Receivable
Allowance for Doubtful Accounts
Bad Debt Expense
c. Determine the net realizable value of accounts receivable.
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The analysis of receivables method is based on the assumption that the longer an account receivable is outstanding the less likely that it will be
collected.
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