Assignment 1: Grading Summary
Part
Marks Available
Marks Obtained
I
33
II
35
III
32
Total
100
Part I: Financial Calculator Exercises (33 marks)
The table on the next page contains practice examples as well as the questions for Assignment 1: Part I. (For a detailed description of each column in this table, see How do I Read the Table? below.)
1. Work through each example in Column B on your financial calculator.
2. Check your answer with the one provided (Column C).
3. Look to the right side of the yellow column-divider and work through the corresponding assignment question (Column E).
· Note: Each numbered practice example corresponds to the same numbered assignment question (e.g., practice example 1: Chain calculations to the power of with the calculation of (8 x 2)2 corresponds to the assignment Question 1 that asks you to calculate (1+0.25)8).
· If you can do the practice example, you should be able to do the corresponding assignment question.
4. Pay careful attention when reading questions that include multiple sets of brackets (e.g., assignment question 6). These can be confusing, so work through them carefully.
5. To record your solutions, put your answer in Column F, on the same row as the assignment question. See example for Question 1: (1+0.25)8).
6. Dont be alarmed by the number of questions! You will likely be able to complete the work more quickly than you think.
7. There are 33 questions in Part I. Each question is worth 1% of the total marks for Assignment 1.
How Do I Read the Table?
Start from the far left-hand column and read across each row. Well refer to Example #10 in our descriptions below.
· Column A: number of the task (e.g., 10)
· Column B: title of the task (e.g., Calculating basic loan interest). Below this title is the description and data for the practice example. (In Example 10; N = 20 years, monthly payments (P/Y=12); Interest rate comp. monthly (C/Y=12); …)
As in Example 10, many of the practice examples and assignment questions take up several rows.
· Column C: check answer to the practice example. (In Example 10: 7.172951345.)
· Column D: numbering of the assignment questions (e.g., 18).
· Column E: description and data for the tasks in the assignment question. (In Question 10: Find annual interest rate; N = 30 years, quarterly payments; Interest rate compounded quarterly; )
· Column F: write down your answer in this column. (See example provided for Question 1.)
Part I: Financial Calculator Exercises (33 marks)
A
B
C
D
E
F
Examples
Check Answer
Q
Answer the questions in this column
Write down your answer
in this column
PRELIMINARIES
SCIENTIFIC FUNCTIONS
1
Chain calculations – to the power of
256
1
(1+0.25)8
5.960464478
(8 x 2)2
2
Calculating natural logs
2.99573227
2
ln(100)
Ln(20)
3
To the power of
50.1187234
3
202.5
10 1.7
4
e to the power of
20.0855369
4
e(-0.08)
e 3
5
Reciprocals
0.02503779
5
(1/1.08) + (1/1.082)
(1/63) + (1/72)
6
Combinations, to the power of
-2024.98438
6
-1000000+[200000(1-0.34)(1-(1/(1.08)10))/0.08]
8-2 – 34 x 52
7
Combinations, to the power of
6.44741959
7
{[(1+(0.08/2))2](1/4)} – 1
(123)1/4
8
Combinations, roots
0.0551362
8
square root[(0.6x(0.08-0.1)2)+(0.4x(0.12-0.1)2)]
square root[(0.3x(0.15-0.07)2)+(0.7x(0.11-0.07)2)]
FINANCIAL FUNCTIONS
9
Memory calculations
4613.83829
9
Sum of following 4 parts
Sum of the following 3 parts:
1000(1.05)/1.08
500 x (1 + 0.1)2
1000(1.05^2)/1.08^2
700 x (1 + 0.1)2 x (1 + 0.12)3
1000(1.05^3)/1.08^3
900 x (1 + 0.1)2 x (1 + 0.12)3 x (1 + 0.13)5
(1000(1.05^3)(1.03)/(0.08-0.03))/(1.08^3)
10
Calculating basic loan interest
7.17295135
10
Find annual interest rate
N = 20 years, monthly payments (P/Y=12)
N = 30 years, quarterly payments
Interest rate compounded monthly (C/Y=12)
Interest rate compounded quarterly
PV = 56000
PV = 1,200,000
PMT = -440
PMT = -90,000
FV = 0
FV = 0
Compute annual interest rate
Compute annual interest rate
11
Calculating basic loan payments
-1255.85583
11
Find payment
N = 20 years, quarterly payments (P/Y=4)
N = 30 years, monthly payments
Interest rate = 6.5% compounded quarterly (C/Y=4)
Interest rate = 8%, compounded monthly
PV = 56000
PV = 1,200,000
FV = 0
FV = 0
Compute PMT
Compute PMT
12
Calculating future value
7922.19308
12
Find Future Value
N = 3 years, monthly payments (P/Y=12)
N = 30 years, monthly payments
Interest rate = 6.5%, compounded quarterly (C/Y=4)
Interest rate = 8%, compounded semi-annually
PV = 0
PV = 0
PMT = -200
PMT = -900
Compute FV
Compute FV
13
Calculating present value
3768.89483
13
Find Present Value
N = 20 year, annual payments (P/Y=1)
N = 30 year, monthly payments
Interest rate = 5%, compounded annually (C/Y=1)
Interest rate = 8%, compounded monthly
PMT = 0
PMT = 0
FV = -10000
FV = -1,000,000
Compute PV
Compute PV
14
Ordinary annuity
-16245.6979
14
Find payment
N = 1.5 years, monthly payments (P/Y=12)
N = 30 years, semiannual payments
Interest rate = 3.6%, compounded monthly (C/Y=12)
Interest rate = 8%, compounded semiannually
PV = 0
PV = 0
FV = 300000
FV = -1,000,000
Compute PMT
Compute PMT
15
Annuity due
7.07980118
15
Find interest rate in Annuity Due
N = 2 years, monthly payments, at beginning of month (P/Y=12)
N = 5 years, monthly payments, BGN
Interest rate compounded monthly (P/Y=12)
Interest rate compounded monthly
PV = 2995
PV = 20,000
PMT = -145
PMT = -350
FV = 299.5
FV = -5000
Compute I/Y
Compute annual interest rate
16
Calculating PV (Annuity due)
16
Find present value in Annuity Due
N = 34 months, monthly payments (P/Y=12)
6279.95199
N = 5 years, monthly payments
Interest rate = 18%, compounded monthly (C/Y=12)
Interest rate = 8%, compounded monthly
PMT = -200
PMT = -1000x(8%/12)
FV = -1500
FV = -1000
Compute PV
Compute PV
17
Calculating PV (ordinary annuity)
146558.921
17
Find present value in Ordinary annuity
N = 25 years, monthly payments, at end of month (P/Y=12)
N = 30 years, monthly payments
Interest rate = 5.5%, compounded monthly (C/Y=12)
Interest rate = 8%, compounded monthly
PMT = -900
PMT = -850
FV = 0
FV = 0
Compute PV
Compute PV
Examples 18-27 use the same data
Questions 18-27 use the same data
18
Calculating mortgage payments and
-616.559743
18
Mortgage – Find payment
generating an amortization schedule
N = 20 years, monthly payments, starts at end of January
N = 20 years, monthly payments, starts at end of August (P/Y=12)
Interest rate = 7%, compounded monthly
Interest rate = 5.45%, compounded monthly (C/Y=12)
PV = 350,000
PV = 90000
FV = 0
FV = 0
Compute payment PMT
Compute PMT
Amortization schedule – first five months (August – December)
P1 = 1
P1 = 1, P2 = 5
P2 = 12
19
Balance at end of December
88951.4703
19
Balance at end of December in first year
20
Total Principal Repayment first 5 months
-1048.5297
20
Total Principal Repayment at end of first year
21
Total Interest payments in first 5 months
-2034.26901
21
Total Interest payments at end of first year
Amortization schedule – second year
P1 = 6
P1 = 61
P2 = 17
P2 = 72
22
Balance at end of December in 2nd year
86335.9156
22
Balance at end of December in 6th year
23
Total Principal Repayment in 2nd year
-2615.55474
23
Total Principal Repayment in 6th year
24
Total Interest payments in 2nd year
-4783.16217
24
Total Interest payments in 6th year
Amortization schedule – third year
25
Balance at end of December in 3rd year
83574.1979
25
Balance at end of December in 11th year
26
Total Principal Repayment in 3rd year
-2761.71766
26
Total Principal Repayment in 11th year
27
Total Interest payments in 3rd year
-4636.99926
27
Total Interest payments in 11th year
Examples 28-31 use the same data
Questions 28 – 31 use the same data
28
Calculating payments, interest, and loan
-3844.56742
28
Find Mortgage payment
balance after a specified payment
N = 30 years, monthly payment, Annuity Due
N = 30 years, monthly payment (P/Y=12)
Interest rate = 5.25%, compounded monthly
Interest rate = 8.5%, compounded monthly (C/Y=12)
PV = 200000
PV = 500000
FV = 0
FV = 0
Compute PMT
Compute PMT
Amortization schedule – first to 48th payment
Amortization schedule after 10 years – Same data as Q28
P1 = 1
P1 = 1
P2 = 48
P2 = 120
29
Balance after 48th payment
482755.407
29
Balance after 10 years of payments
30
Total Principal Repayment after 48 payments
-17244.5926
30
Total Principal Repayment after 10 years of payments
31
Total Interest payments after 48 payments
-167294.644
31
Total interest payments after 10 years of payments
32
Calculating IRR
17.50055766
32
Compute IRR using following data:
CF0 = -5000
CF0=-10000
CF1 = 2000
CF1=2500
CF2 = 2000
CF2=2500
CF3 = 3000
CF3=3500
CF4=3500
CF5=5000
33
Calculating NPV
223.9664667
33
Compute NPV
CF0 = -5000
Same cash flows as Q32
CF1 = 2000
Interest rate = 8%
CF2 = 2000
CF3 = 3000
Interest rate = 15%
Part II: Financial Statements Review (35 marks)
1. Build the Income Statement and Balance Sheet for CanDo Inc. based on the information given below, as of December 31, 2009.
Accounts payable
$141,000
Accounts receivable
$103,000
Cash and cash equivalents
$154,000
CoGS
$224,700
Common Stock
$1,286,000
Depreciation
$37,000
Dividend payout ratio
40%
Interest paid
$43,000
Inventory
$129,000
Long-term debt
$1,254,000
Net Fixed Assets
$2,530,000
Sales
$330,000
Short-term debt
$132,000
Tax rate
35%
Number of shares
1,000,000
Price per share
$0.50
2. Obtain the following numbers from the income statement and balance sheet:
(i) Total Current Assets
(ii) Total Current Liabilities
(iii) Retained Earnings
(iv) Total Owners Equity
(v) Total Assets
(vi) Earnings before depreciation, interest and taxes (EBDIT)
(vii) Earnings before interest and taxes (EBIT)
(viii) Dividends
(ix) Addition to Retained Earnings
Part III: Financial Ratios Review (32 marks)
The following table presents the data for CanDo Inc. in as of December 31 2008:
Accounts payable
$104,000
Accounts receivable
$146,000
Cash and cash equivalents
$108,000
CoGS
$224,700
Common Stock
$1,286,000
Depreciation
$37,000
Dividend payout ratio
40%
Interest paid
$43,000
Inventory
$123,000
Long-term debt
$1,254,000
Net Fixed Assets
$2,467,000
Sales
$330,000
Short-term debt
$106,867
Tax rate
35%
Calculate the following financial ratios for CanDo Inc. in the fiscal year of 2009:
a. Current ratio
b. Quick ratio
c. Cash ratio
d. Net working capital ratio
e. Interval measure
f. Total debt ratio
g. Debt-equity ratio
h. Equity multiplier
i. Long-term debt ratio
j. Times interest earned
k. Cash coverage ratio
l. Inventory turnover (using average inventory from 2008 and 2009)
m. Days sales in inventory
n. Receivables turnover (using average accounts receivable from 2008 and 2009)
o. Days sales in receivables
p. Payables turnover (using average accounts payable from 2008 and 2009)
q. Days sales in payables
r. NWC turnover
s. Fixed assets turnover
t. Total asset turnover
u. Profit margin
v. Return on assets (ROA)
w. Return on equity (ROE)
x. Price-earnings (P/E) ratio
y. Market-to-book ratio