Fixed Income Homework3 Hariharan Alavandan
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Finance
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Apr 3, 2024
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Submitted by
Hariharan Alavandan
alavanhn@mail.uc.edu
Class Number: 11660
Section 001
HOMEWORK 3: FIN7037 FIXED INCOME
FIN7037: Fixed Income Security Analysis
Homework 2
1.
a. Amortization schedule for the first 10 months
Amount $100,000
Periods 360
Rate
0.8333%
Payment
$877.57 Months
Beginning
Payment
Interest
Principal
Ending Balance
1
$100,000.00
$877.57 $833.33
$44.24 $99,955.76
2
$99,955.76
$877.57 $832.96
$44.61
$99,911.15
3
$99,911.15
$877.57 $832.59
$44.98
$99,866.18
4
$99,866.18
$877.57 $832.22
$45.35
$99,820.82
5
$99,820.82
$877.57 $831.84
$45.73
$99,775.09
6
$99,775.09
$877.57 $831.46
$46.11
$99,728.98
7
$99,728.98
$877.57 $831.07
$46.50
$99,682.48
8
$99,682.48
$877.57 $830.69
$46.88
$99,635.60
9
$99,635.60
$877.57 $830.30
$47.27
$99,588.32
10
$99,588.32
$877.57 $829.90
$47.67
$99,540.65
b
. As you can see from the amortization table for the last 3 months, mortgage
balance at the end of 360
th
month
assuming no prepayment is
0
c. Mortgage balance at
the end of month 270 assuming no prepayment
The remaining principle at the end of the month 270
is simply the present value of the remaining 90 months of payment
of Coupon = PMT= 877.57 in 360-month payment period.
So, PMT = -877.57, N = 90, I/Y = 0.8333%, FV = 0, We use financial calculator to compute PV = 55409.40. Mortgage balance at
the end of month 270 assuming no prepayment = 55409.40
Month
s
Beginning
Payment
Interest
Principa
l
Ending Balance
358
$2,589.44
$877.57 $21.58
$855.99
$1,733.45
359
$1,733.45
$877.57 $14.45
$863.13
$870.32
360
$870.32
$877.57 $7.25
$870.32
$0.00
(Note: - As explained in the partial answers, this can also be calculated by computing beginning balance for N = (90+ 1) and then subtracting respective interest from Principle payment and calculating the ending balance)
2.
1)
2-Bedroom condo in Boston. The price is $300,000. You
have a 30-year 3% APR mortgage with 20% down payment
N=360, I/Y= 3/12= 0.25, PV = 240,000, FV = 0, Calculating Monthly mortgage payment
using financial calculator PMT = 1011.849
Monthly mortgage payment = PMT = 1011.85
2) Annual investment return on rental Using financial calculator, N = 60 (semiannual 30 years), PV = - 60,000, FV = 300,000, PMT = 0, we compute semi-annual yield = 2.718%
Annual yield = Bond- equivalent yield = 2.718*2 = 5.437
3) Using financial calculator, N = 360, PV = - 60,000, PMT = 2000- 200- 1011.85= 788.15, FV = 390,000
Monthly yield = 1.3702%
Semi-annual yield = (1.013702) ^ 6 = 8.51%
Bond – equivalent yield = 8.51%*2 = 17.02%
3.
(
Calculated from excel) a)
CPR = 6%*(t/30) t < 30 months
CPR = 6% t > 30 months
Mont
h
100% PSA
70% PSA 320% PSA
(0.7*100% PSA)
(3.2*100% PSA)
1
0.002
0.0014
0.0064
4
0.008
0.0056
0.0256
9
0.018
0.0126
0.0576
27
0.054
0.0378
0.1728
40
0.06
0.042
0.192
b)
(From excel) SMM = (1- ((1-CPR) ^ (1/12))
Month
100% PSA
70% PSA 320% PSA CPR
SMM
CPR
SMM
CPR
SMM
1
0.002
0.01668%
0.001
4
0.01167%
0.006
4
0.05349%
4
0.008
0.06691%
0.005
6
0.04679%
0.025
6
0.21588%
9
0.018
0.15125%
0.012
6
0.10561%
0.057
6
0.49316%
27
0.054
0.46154%
0.037
8
0.32059%
0.172
8
1.56848%
40
0.060
0.51430%
0.042
0
0.35692%
0.192
0
1.76092%
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11)
Jennifer's pension plan is an annuity with a guaranteed return of 5% per year (compounded
monthly). She can afford to put $300 per month into the fund, and she will work
for 45 years before retiring. If her pension is then paid out monthly based on a 20-
year payout, how much will she receive per month? (Round your answer to the nearest
cent.)
2$
12)
n chows annual rates for yarjous types of loans in 2015. Assume monthly
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TABLE
14.2
Loan amortization table (monthly payment per $1.000 to pay principal and interest on installment loan)
Terms in
months
7.50%
8%
8.50%
9%
10.00%
10.50%
11.00%
I1.50%
12.00%
6.
$170.34
$170.58
$170.83
$171.20
$171.56
$171.81
$172.05
$172.30
$172.55
12
86.76
86.99
87.22
87.46
87.92
88.15
88.38
88.62
88.85
18
58.92
59.15
59.37
59.60
60.06
60.29
60.52
60.75
60.98
24
45.00
45.23
45.46
45.69
46.14
46.38
46.61
46.84
47.07
30
36.66
36.89
37.12
37.35
37.81
38.04
38.28
38.51
38.75
36
31.11
31.34
31.57
31.80
32.27
32.50
32.74
32.98
33.21
42
27.15
27.38
27.62
27.85
28.32
28.55
28.79
29.03
29.28
48
24.18
24.42
24.65
24.77
25.36
25.60
25.85
26.09
26.33
54
21.88
22.12
22.36
22.59
23.07
23.32
23.56
23.81
24.06
60
20.04
20.28
20.52
20.76
21.25
21.49
21.74
21.99
22.24
TABLE
14.2
(concluded)
Terms in
months
12.50%
13.00%
13.50%
14.00%
15.00%
15.50%
16.00%
6.
$172.80
$173.04
$173.29
$173.54
S173.79
$174.03
$174.28
$174.53
12
89.08
89.32
89.55
89.79
90.02
90.26
90.49
90.73
18
61.21
61.45
61.68…
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NE-Alpha
* My Courses
Question 80
Annuity
Years
Interest Rate Compounding Present Value of Annuity
Not yet answ
Marked out c
18
1.89%
Monthly
$1,083,460.00
P Flag quest
a. $5,463.17
O b. $5,940.97
O c. $5,921.44
O d. $5,964.33
Finish atter
Previous page
N
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A
B
D
F
1 Loan (PV)
$ 300,000.00
2 APR
4.50%
3 Monthly Rate
4 NPER
5 Monthly Payment
0.38%
360
$1,520.06
6
7 Payment Number
Beg Balance
Interest
Principal
8
1
?
?
10
3
?
11
4
12
?
13
6
14
7
?
15
8.
?
16
9
?
17
10
18
11
19
12
?
20
21 Cumulative Totals after Year 1
22 Interest
23 Principal Paid
24
25 What if the goal is $1,400 monthly payment?
26 Monthly Payment
27 Monthly Rate Needed ?
1,400.00
28 APR Needed
.....c.
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Amount financed 18200 number of payments 72 monthly payment 425.08 finace charge 12405.76 whats the apr%
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ST
Unit 8 Quest (11U)
+
pQLSf8ziezOsWz6j9T7OGVQSHI-6ls9bQrlQevfkKxle-RtQ3Rlg/formResponse
Question 6:
How much was the amount of the original loan?
Regular Payment
Rate of Compound
Interest per Year
Compounding
Period
semi-annual
$1575 every 6 months
5.4%
$8445.09
$17076.01
a.
b. $14 444.94
$24 143.61
a
b
C.
d.
Time
6 years
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Pls fjnd all the three parts thanks sir for u time respect
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Subject: accounting
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MINDTAP
Q Search this cOL
tivity- Amortization schedule
a. Complete an amortization schedule for a $44,000 loan to be repaid in equal installments at the end of each of the next three years. The interest rate is 10% compounded annually.
Round all answers to the nearest cent.
Beginning
Repayment
Ending
Year
Balance
Раyment
Interest
of Principal
Balance
1
24
%24
2.
24
$4
%24
24
24
%24
24
b. What percentage of the payment represents interest and what percentage represents principal for each of the three years? Round all answers to two decimal places.
% Interest
% Principal
Year 1:
Year 2:
Year 3:
%
c. Why do these percentages change over time?
I. These percentages change over time because even though the total payment is constant the amount of interest paid each year is declining as the remaining or outstanding
balance declines.
II. These percentages change over time because even though the total payment is constant the amount of interest paid each year is increasing as the remaining or…
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1 Normal
1 No Spac. Heading 1
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Styles
1)
Find the amount accumulated FV in the given annuity account. (Assume end-of-period
deposits and compounding at the same intervals as deposits. Round your answer to the
nearest cent.)
$2,800 is deposited quarterly for 20 years at 5% per year
FV = $
梦 0
93
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Lesson 35 Supplementary Exercises
27. Study the amortization schedule and fill in the blanks.
28. A loan amounting to P100,000 is to be paid annually for 4 years with an interest
rate of 10% per annum. The annual amortization is P31,547.08.
Regular
Рayment R
Interest
Component
of Payment
Principal
Component
of Payment
Outstandin
Period
g Balance
A
1
B
10,000
21,547.08
78,452.92
31,547.08
D
54,751.13
3
31,547.08
5,475.11
26,071.97
28,679.16
4
31,547.08
2,867.92
28,679.16
E
TOTALS
A. How much is the amount of the loan?
B. How much is the payment on the first period?
C For the second payment, how miuch gnes to pay the inferest?
D. For the second payment, how much goes to pay the principal?
E. How much is the outstanding balance after the 4" payment?
2.
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AaBbCcDd AaBbCcDd AaBbC AaBb AaBbCcD AaB
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三= =。
色、田、
1 Normal
1 No Spac... Heading 1
Heading 2 Heading 3
Title
Paragraph
Styles
2)
Find the amount accumulated FV in the given annuity account. (Assume end-of-period
deposits and compounding at the same intervals as deposits. Round your answer to the
nearest cent.)
$500 is deposited monthly for 10 years at 6% per year in an account containing $9,000 at
the start
FV = $
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1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
A
B
Balance $ 14,000.00
Annual Rate
13.00%
Monthly
Rate
Minimum
Percentage
Minimum
Payment
Additional $
с
Month
2.50%
$40.00
D
E
F
G
Calculate additional monthly payment required to pay off balance in 7 years.
Minimum
Total
Payment Payment Interest Principal Balance
H
I
J
K
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Practice
Find the amount in the account and the interest.
Annual
Interest
Interest
First
Period
Second
Principal
Rate
Period
Interest
Amount
Period
Interest
Amount
1.
$ 750.00
5.000%
quarterly
a.
b.
C.
d.
2.
1,585.00
6.500%
semiannually
a.
b.
C.
d.
3.
4.
7,926.50
16,427.82
3.750%
monthly
a.
b.
C.
d.
4.875% annually
a.
b.
C.
d.
5. Standardized Test Practice Marcus Sanderson opened a savings account on January 1st with
a $625.00 deposit. Interest is compounded on a quarterly basis at a rate of 5.7 percent. What
is his balance at the end of 1 year?
A. $660.60
B. $35.60
C. $661.39 D. $36.38
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Amount financed 18200 number of payments 72 monthly payment 425.08 finance charge 12405.76 whats the apr%
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Exhibit A.9
Present Value of an Annuity of $1
Year
1/2%
1%
2%
4%
5%
6%
8%
10%
12%
14%
15%
16%
18%
20%
22%
24%
25%
30%
35%
40%
1
0.995
0.990
0.980
0.962
0.952
0.943
0.926
0.909
0.893
0.877
0.870
0.862
0.847
0.833
0.820
0.806
0.800
0.769
0.741
0.714
2
1.985
1.970
1.942
1.886
1.859
1.833
1.783
1.736
1.690
1.647
1.626
1.605
1.566
1.528
1.492
1.457
1.440
1.361
1.289
1.224
3
2.970
2.941
2.884
2.775
2.723
2.673
2.577
2.487
2.402
2.322
2.283
2.246
2.174
2.106
2.042
1.981
1.952
1.816
1.696
1.589
4
3.950
3.902
3.808
3.630
3.546
3.465
3.312
3.170
3.037
2.914
2.855
2.798
2.690
2.589
2.494
2.404
2.362
2.166
1.997
1.849
5
4.926
4.853
4.713
4.452
4.329
4.212
3.993
3.791
3.605
3.433
3.352
3.274
3.127
2.991
2.864
2.745
2.689
2.436
2.220
2.035
6
5.896
5.795
5.601
5.242
5.076
4.917
4.623
4.355
4.111
3.889
3.784
3.685
3.498
3.326
3.167
3.020
2.951
2.643
2.385
2.168
7
6.862
6.728
6.472
6.002
5.786
5.582
5.206
4.868
4.564
4.288
4.160
4.039
3.812
3.605
3.416
3.242
3.161
2.802
2.508
2.263…
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Before purchasing a used car, Cody Lind checked www.kbb.com to learn what he should offer for the used car he wanted to buy. Then
he conducted a carfax.com search on the car he found to see if the car had ever been in an accident. The Carfax was clean so he
purchased the used car for $14,150. He put $1,500 down and financed the rest with a 48-month, 8.5% loan. What is his monthly car
payment by table lookup? (Use Table 14.2)
Note: Do not round intermediate calculations. Round your answer to the nearest cent.
Monthly payment
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MND
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Problem 7
Problem 8
Problem 9
Problem 10
webwork / mat110e_oncampus_f/ finance.set.3 / 9
Finance.set.3: Problem 9
Previous Problem
Problem List
Next Problem
Complete the first three lines of an amortization schedule for the following loan:
You borrow $ 14000 with an annual interest rate of 12% over 9 years
Starting principal = $ 14000
%3D
Principal after month 1 payment =
%3D
Principal after month 2 payment =
Principal after month 3 payment =
%3D
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General Computers Inc. purchased a computer server for $65,500. It paid 25.00% of
the value as a down payment and received a loan for the balance at 6.50%
compounded semi-annually. It made payments of $2,400.41 at the end of every
quarter to settle the loan.
a. How many payments are required to settle the loan?
o payments
Round up to the next payment
b. Fill in the partial amortization schedule for the loan, rounding your answers to two
decimal places.
Payment Number
0
11
Payment
$0.00
$0.00
Interest Portion Principal Portion
50.00
50,00
SUBMIT QUESTION
$0.00
50.00
Principal Balance
$49.125.00
$0.00
$0.00
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Grove Media plans to acquire production equipment for $845,000 that will be depreciated for tax purposes as follows: year 1,
$329,000; year 2, $189,000; and in each of years 3 through 5, $109,000 per year. A 10 percent discount rate is appropriate for this
asset, and the company's tax rate is 20 percent. Use Exhibit A.8 and Exhibit A.9.
Required:
a. Compute the present value of the tax shield resulting from depreciation.
b. Compute the present value of the tax shield from depreciation assuming straight-line depreciation ($169,000 per year).
Complete this question by entering your answers in the tabs below.
Required A Required B
Compute the present value of the tax shield resulting from depreciation.
Note: Round PV factor to 3 decimal places.
Present value of the tax shield
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Simple
Interest
Principal
Rate
Time
Amount
P 8,000.00
P 12,000.00
1 year
2 years
4.
1%
5.
2%
PERFORMANCE TASKS IN ENGLISH 6
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answer please
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Module 11 Part I: Chapter Problems
B, Assignment
Please complete the following item:
Assume Strand Corp borrowed $200,000 from the bank on 7/1/20; Strand is a calendar
year-end. Interest rate 6%. It is a 1 year note, payable at the end of 1 year. Make the
necessary journal entry on 7/1/20, 12/31/20 and 6/30/21
If vou are not familiar with
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- Document1 - Word References Mailings Review View Help Search A A Aa A E E E EE AaBbCcDd AaBbCcDd AaBbC AaBb AaBbCcD. AaB A D A v AaBbC 三三、 、田 1 Normal 1 No Spac. Heading 1 Heading 2 Heading 3 Title Subtit Paragraph $1 Styles 11) Jennifer's pension plan is an annuity with a guaranteed return of 5% per year (compounded monthly). She can afford to put $300 per month into the fund, and she will work for 45 years before retiring. If her pension is then paid out monthly based on a 20- year payout, how much will she receive per month? (Round your answer to the nearest cent.) 2$ 12) n chows annual rates for yarjous types of loans in 2015. Assume monthlyarrow_forwardTABLE 14.2 Loan amortization table (monthly payment per $1.000 to pay principal and interest on installment loan) Terms in months 7.50% 8% 8.50% 9% 10.00% 10.50% 11.00% I1.50% 12.00% 6. $170.34 $170.58 $170.83 $171.20 $171.56 $171.81 $172.05 $172.30 $172.55 12 86.76 86.99 87.22 87.46 87.92 88.15 88.38 88.62 88.85 18 58.92 59.15 59.37 59.60 60.06 60.29 60.52 60.75 60.98 24 45.00 45.23 45.46 45.69 46.14 46.38 46.61 46.84 47.07 30 36.66 36.89 37.12 37.35 37.81 38.04 38.28 38.51 38.75 36 31.11 31.34 31.57 31.80 32.27 32.50 32.74 32.98 33.21 42 27.15 27.38 27.62 27.85 28.32 28.55 28.79 29.03 29.28 48 24.18 24.42 24.65 24.77 25.36 25.60 25.85 26.09 26.33 54 21.88 22.12 22.36 22.59 23.07 23.32 23.56 23.81 24.06 60 20.04 20.28 20.52 20.76 21.25 21.49 21.74 21.99 22.24 TABLE 14.2 (concluded) Terms in months 12.50% 13.00% 13.50% 14.00% 15.00% 15.50% 16.00% 6. $172.80 $173.04 $173.29 $173.54 S173.79 $174.03 $174.28 $174.53 12 89.08 89.32 89.55 89.79 90.02 90.26 90.49 90.73 18 61.21 61.45 61.68…arrow_forwardNE-Alpha * My Courses Question 80 Annuity Years Interest Rate Compounding Present Value of Annuity Not yet answ Marked out c 18 1.89% Monthly $1,083,460.00 P Flag quest a. $5,463.17 O b. $5,940.97 O c. $5,921.44 O d. $5,964.33 Finish atter Previous page Narrow_forward
- A B D F 1 Loan (PV) $ 300,000.00 2 APR 4.50% 3 Monthly Rate 4 NPER 5 Monthly Payment 0.38% 360 $1,520.06 6 7 Payment Number Beg Balance Interest Principal 8 1 ? ? 10 3 ? 11 4 12 ? 13 6 14 7 ? 15 8. ? 16 9 ? 17 10 18 11 19 12 ? 20 21 Cumulative Totals after Year 1 22 Interest 23 Principal Paid 24 25 What if the goal is $1,400 monthly payment? 26 Monthly Payment 27 Monthly Rate Needed ? 1,400.00 28 APR Needed .....c.arrow_forwardAmount financed 18200 number of payments 72 monthly payment 425.08 finace charge 12405.76 whats the apr%arrow_forwardST Unit 8 Quest (11U) + pQLSf8ziezOsWz6j9T7OGVQSHI-6ls9bQrlQevfkKxle-RtQ3Rlg/formResponse Question 6: How much was the amount of the original loan? Regular Payment Rate of Compound Interest per Year Compounding Period semi-annual $1575 every 6 months 5.4% $8445.09 $17076.01 a. b. $14 444.94 $24 143.61 a b C. d. Time 6 yearsarrow_forward
- Pls fjnd all the three parts thanks sir for u time respectarrow_forwardSubject: accountingarrow_forwardMINDTAP Q Search this cOL tivity- Amortization schedule a. Complete an amortization schedule for a $44,000 loan to be repaid in equal installments at the end of each of the next three years. The interest rate is 10% compounded annually. Round all answers to the nearest cent. Beginning Repayment Ending Year Balance Раyment Interest of Principal Balance 1 24 %24 2. 24 $4 %24 24 24 %24 24 b. What percentage of the payment represents interest and what percentage represents principal for each of the three years? Round all answers to two decimal places. % Interest % Principal Year 1: Year 2: Year 3: % c. Why do these percentages change over time? I. These percentages change over time because even though the total payment is constant the amount of interest paid each year is declining as the remaining or outstanding balance declines. II. These percentages change over time because even though the total payment is constant the amount of interest paid each year is increasing as the remaining or…arrow_forward
- Mallings Review View Help e Search AaBbCcDd AaBbCcDd AaBbC AaBb AaBbCcD 三加三三、、田、 1 Normal 1 No Spac. Heading 1 Heading 2 Heading 3 Paragraph Styles 1) Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $2,800 is deposited quarterly for 20 years at 5% per year FV = $ 梦 0 93arrow_forwardLesson 35 Supplementary Exercises 27. Study the amortization schedule and fill in the blanks. 28. A loan amounting to P100,000 is to be paid annually for 4 years with an interest rate of 10% per annum. The annual amortization is P31,547.08. Regular Рayment R Interest Component of Payment Principal Component of Payment Outstandin Period g Balance A 1 B 10,000 21,547.08 78,452.92 31,547.08 D 54,751.13 3 31,547.08 5,475.11 26,071.97 28,679.16 4 31,547.08 2,867.92 28,679.16 E TOTALS A. How much is the amount of the loan? B. How much is the payment on the first period? C For the second payment, how miuch gnes to pay the inferest? D. For the second payment, how much goes to pay the principal? E. How much is the outstanding balance after the 4" payment? 2.arrow_forwardAaBbCcDd AaBbCcDd AaBbC AaBb AaBbCcD AaB A 三= =。 色、田、 1 Normal 1 No Spac... Heading 1 Heading 2 Heading 3 Title Paragraph Styles 2) Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $500 is deposited monthly for 10 years at 6% per year in an account containing $9,000 at the start FV = $arrow_forward
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