midterm1solution (1)
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School
Arizona State University *
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Course
380
Subject
Finance
Date
Jan 9, 2024
Type
xlsx
Pages
9
Uploaded by furymills
NPER
60
RATE
0.00458333
PV
78335
PMT
($1,496.29)
FV
0
NPER
60
RATE
0.004583333333333
PV
68335 Total Paid
interest
PMT
($1,305.28) ($78,316.68)
($9,981.68)
FV
0
NPER
30
RATE
0.004583333333333
PV
$41,849.92 PMT
($1,496.29)
FV
0
NPER
20
Rate
3% 0.057233123
PV
-945.5
Car Loan. You want to purchase a new BMW X5 series. The price of the car is $78,335. BMW's financial office has offered to finance the car for 60-months (5 years), and will charge you 5.5% APR, with monthly compounding. What is your monthly payment.
Car Loan. You want to purchase a new BMW X5 series. The price of the car is $68,335. BMW's financial office has offered to finance the car for 60-months (5 years), and will charge you 5.5% APR, with monthly compounding. How much total interest do you pay over the lifetime of the loan?
Car Loan. You want to purchase a new BMW X5 series. The price of the car is $78,335. BMW's financial office has offered to finance the car for 60-months (5 years), and will charge you 5.5% APR, with monthly compounding. What is the outstanding balance of the loan after making your 30th payment?
A bond is currently trading at 945.50, and has a 5% coupon rate. Coupons are paid semi-annual and the bond has a face value of 1,000. The bond has 10 years left to maturity. What is the yield to maturity?
PMT
25
FV
1000
year 0
-55,000
year 1
10,000
year 2
20,000
year 3
35,000
year 4
30,000
year 5
15,000
Rate
9%
NPV
$29,036.06 year 0
-55,000
year 1
10,000
year 2
20,000
year 3
35,000
year 4
30,000
year 5
15,000
IRR
25.73%
Project A has the following Cash flows:
Cost: $55,000
year 1: 10,000
year 2: 20,000
year 3: 35,000
year 4: 30,000
year 5: 15,000
What is the NPV of the project if the firm has a cost of capital of 9%
Project A has the following Cash flows:
Cost: $55,000
year 1: 10,000
year 2: 20,000
year 3: 35,000
year 4: 30,000
year 5: 15,000
What is the IRR of the project ?
If you deposit 4,000 each year (starting with a deposit made today), for the next 30 years, how much will you have in 30 years if you can earn 5% interest?
NPER
30
RATE
5%
PV
0
PMT
4000
FV
($279,043.16)
NPER
10.9921992310506
RATE
6%
PV
-78,000
PMT
0
FV
148,000
NPER
10
RATE
4%
PV
($1,081.11)
PMT
50
FV
1000
You're trying to save to buy a new $148,000 Audi R8. You have $78,000 today that can be invested at your bank. The bank pays 6 percent annual interest on its accounts. How many years will it be before you have enough to buy the car? Assume the price of the car remains constant.
JnJ issued bonds with a $1,000 face value. The bonds have a 10 years to maturity and will make annual coupon payments. The coupon rate is 5%. If the yield to maturity is 4%, what should the current price of the bonds be?
Your local travel agent is advertising an upscale winter vacation package for travel three years from now to Antarctica. The package requires that you pay $20,000 today, $35,000 one year from today, and a final payment of $45,000 on the day you depart three years from today. What is the cost of this vacation in today's dollars if the discount rate is 9.75 percent?
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year 0
20,000
year 1
35,000
year 2
0
year 3
45,000
Rate
9.75%
npv
85,931.3954612755
year 0
60,000
NPER
4
year 1
70,000
RATE
5.50%
year 2
75,000
PV
$236,315.33 year 3
50,000
PMT
0
rate
5.50%
FV
($292,753.25)
npv
$236,315.33 Chase
BoA
WF
SDCC
APR
3.10%
3.04%
3.05%
3.07%
compound
12
365
4
52
ear
0.03144427 0.030865493238621
0.03085062 0.0311667634
The government has imposed a fine on JJ’s Place. The fine calls for annual payments of $60,000, $70,000, $75,000, and $50,000, respectively, over the next four years. The first payment is due today. The government plans to invest the funds until the final payment is collected and then donate the entire amount, including the investment earnings, to help the local community shelter. The government will earn 5.5 percent on the funds held. How much will the community shelter receive four years from today?
You are thinking of buying a house and would need to get a mortgage. The following banks are quoting rates:
Chase: 3.10% (APR), monthly compounding
Bank of America: 3.04% (APR), daily compounding
Wells Fargo: 3.05% (APR), quarterly compounding
SDCC: 3.07% (APR), weekly compounding
NPER
60
RATE
0.004583333333333
PV
78335
PMT
($1,496.29)
FV
0
Balance
Interest
principal
Ending balance
1
78335 359.0354167
$1,137.25 $77,197.75 2
$77,197.75 $353.82 $1,142.47 $76,055.28 Car Loan. You want to purchase a new BMW X5 series. The price of the car is $78,335. BMW's financial office has offered to finance the car for 60-months (5 years), and will charge you 5.5% APR, with monthly compounding. How much of your second payment went towards interest?
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years to maturity
11/13/2033
Settlement date
11/13/2023
coupon
5%
face value
1000
Yield To Maturity 6%
Duration
7.56842797235381
-0.075684279723538
Bond A:
Bond B
Coupon : 5%, face value=1000, annual pmt, 5yrs
Coupon : 6%, face value
YTM: 5%
NPER
5 NPER
5
RATE
5% RATE
5%
PV
($1,000.00)
PV
($1,043.29)
PMT
50 PMT
60
FV
1000 FV
1000
New prices
YTM jumps to 7%
NPER
5 NPER
5
RATE
7% RATE
7%
PV
($918.00)
PV
($959.00)
PMT
50 PMT
60
FV
1000 FV
1000
% change price -8.200%
-8.080%
e=1000, annual pmt, 5yrs
NPER
1
RATE
3.500%
PV
-96,618.36
PMT
0
FV
100,000
950
NPER
1
RATE
5.10%
PV
($903.90)
PMT
0
FV
950
NPER
1
RATE
10.632%
PV
-903.9
PMT
0
FV
1000
0.056
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Related Documents
Related Questions
Where does the number 3 and number form highlighted on the picture comes from?
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TABLE 9C.2
Present Value of Annuity of $1, p = [1-1/(1+]/i
3.25%
3.5%
1
2
3
4
5
6
7
6.5982
6.5346
8
7.4859
7.4051
7.4051
7.3255 7.2472
9
8.3605 8.2605 8.1622 8.0657
9.2222 9.1012 8.9826 8.8662
10
11
12
13
14
15
Periods 1.5% 1.75% 2% 2.25% 2.5% 2.75% 3%
0.9852 0.9828 0.9804 0.9780 0.9756 0.9732 0.9709 0.9685 0.9662
1.9559 1.9487 1.9416 1.9345 1.9274 1.9204 1.9135 1.9066 1.8997
2.9122 2.8980 2.8839 2.8699 2.8560 2.8423 2.8286 2.8151 2.8016
3.8544 3.8309 3.8077 3.7847 3.7620 3.7394 3.7171 3.6950 3.6731
4.7826 4.7479 4.7135 4.6795 4.6458 4.6126 4.5797 4.5472 4.5151
5.6972 5.6490 5.6014 5.5545 5.5081 5.4624 5.4172 5.3726 5.3286
6.4720 6.4102 6.3494 6.2894 6.2303 6.1720 6.1145
7.1701 7.0943 7.0197 6.9462 6.8740
7.9709 7.8777 7.7861 7.6961 7.6077
8.7521 8.6401 8.5302 8.4224 8.3166
10.0711 9.9275 9.7868 9.6491 9.5142 9.3821 9.2526 9.1258 9.0016
10.9075 10.7395 10.5753 10.4148 10.2578 10.1042 9.9540 9.8071 9.6633
11.7315 11.5376 11.3484 11.1636 10.9832 10.8070 10.6350 10.4669 10.3027
12.5434…
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Calculate (a) the amount financed, (b) the total finance charge, and (c) APR by table lookup. (Use Table 14.1 and Table 14.1(b).) (Do not
round intermediate calculations. Round the "Finance charge" to the nearest cent.)
Number of monthly
Total of monthly
Purchase price of a
used car
Amount
Total finance
Down payment
APR
payments
financed
payments
charge
5,453 $
1,113
48
24
5,509.76
acer
%24
%24
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How do i do this?
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Use the NPV method to determine whether Root Products should invest in the following projects:
• Project A: Costs $275,000 and offers eight annual net cash inflows of $53,000. Root Products requires an annual return of 12% on investments of this nature.
Project B: Costs $380,000 and offers 9 annual net cash inflows of $74,000. Root Products demands an annual return of 10% on investments of this nature.
E(Click the icon to view Present Value of $1 table.)
E (Click the icon to view Present Value of Ordinary Annuity of $1 table.)
Read the requirements.
Requirement 1. What is the NPV of each project? Assume neither project has a residual value. Round to two decimal places. (Enter any factor amounts to three
decimal places, X.XXX. Use parentheses or a minus sign for a negative net present value.)
Caclulate the NPV (net present value) of each project. Begin by calculating the NPV of Project A.
Project A:
Net Cash
Annuity PV Factor
Present
Years
Inflow
(i=12%, n=8)
Value
1-8
Present value of…
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Appendix D Present value of an annuity of $1, PVA
Period
-NM in D
1
2
3
4
5
6
7
8
9
12
13
15
16
18
19
20
25
30
40
50
PUINDING
FAMIGOs
19
0.990
1.970
2.941
3.902
4.853
5.795
6.728
7.652
8.566
9.471
10.368
11.255
12.134
13.004
13.865
14.718
15.562
16.398
17.226
18.046
22.023
25.808
32.835
39.196
2%
0.980
1.942
2.884
3.808
4.713
5.601
6.472
7.325
8.162
8.983
9.787
10.575
11.348
12.106
12.849
13.578
14.292
14.992
15.678
16.351
19.523
22.396
27.355
31.424
3%
0.971
1.913
2.829
3.717
4.580
5.417
6.230
7.020
7.786
8.530
9.253
9.954
10.635
11.296
11.938
12.561
13.166
13.754
14.324
14.877
17.413
19.600
23.115
25.730
PVA-A 1
4%
0.962
1.886
2.775
3.630
4.452
5.242
6.002
6.79.3
8.111
8.760
9.385
9.986
10.563
11.118
11.652
12.166
12.659
13.134
13.590
15.622
17.292
19.793
21.482
1
(1 + )"
5%
0.952
1.859
2.723
3.546
4.329
5.076
5.786
6.463
7.108
7.722
8.306
8.863
9.394
9.899
10.380
10.838
11.274
11.690
12.085
12.462
14.094
15.372
17.159
18.256
Percent
0.943
1.833
2673
3.465
4.212
4.917
5.582
6.210…
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Carter Company is considering a project with an initial investment of $600,500 that is expected to produce cash inflows of $131,000 for ten years. Carter's
required rate of return is 16%.
E (Click on the icon to view Present Value of $1 table.)
(Click on the icon to view Present Value of Ordinary Annuity of $1 table.)
14.
What is the NPV of the project?
15.
What is the IRR of the project?
Is this an acceptable project for Carter?
16.
14. What is the NPV of the project? (Enter the factor amount to three decimal places, X.XXX. Round the present value of the annuity to the nearest whole dollar.
Use parentheses or a minus sign for a negative net present value.)
Annuity PV Factor
(i=16%, n=10)
Net Cash
Present
Years
Inflow
Value
1- 10
Present value of annuity
Investment
Net present value
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ests
- X
þver
Reference
Reference
Present Value of Ordinary Annuity of $1
Present Value of $1
Periods
Period 1
Period 2
Period 3
Period 4
Period 5
Period 6
Period 7
Period 8
Period 9
Period 10 0.905 0.820 | 0.744 0.676 0.614 | 0.558 0.508
Periods
1%
2%
3%
4%
5%
6%
7%
8%
9%
10%
12%
14%
15%
16%
18%
20%
1%
2%
3%
4%
5%
6%
7%
8%
9%
10%
12%
14%
15%
16%
18%
20%
us
Period 1
Period 2
Period 3
Period 4
Period 5
0.935
0.952 0.943 0.935
1.859 1.833 1.808
0.926 0.917 0.909 0.893 0.877 0.870
1.783 1.759 1.736
2.577 2.531 2.487
0.990
0.990 0.980 0.971 0.962 | 0.952
0.980 0.961 0.943 0.925 0.907
0.971 0.942 0.915 0.889 0.864
0.961 0.924 0.888 0.855 0.823
0.951 0.906 0.863 0.822 0.784
0.943
0.917 0.909 0.893 | 0.877
0.842 0.826 0.797 0.769
0.772 0.751 0.712 0.675 0.658 | 0.641
0.708 0.683 0.636 | 0.592 0.572 0.552 0.516 0.482
0.650 0.621 0.567
0.980
0.971
0.962
0.862
0.847
0.833
0.926
0.862 0.847 0.833
1.566 | 1.528
2.174 2.106
3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.037 2.914 2.855 2.798…
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Ajax Corporation has hired Brad O'Brien as its new president. Terms included the company's agreeing to pay retirement benefits of
$18,600 at the end of each semiannual period for 10 years. This will begin in 3,285 days. If the money can be invested at 8%
compounded semiannually, what must the company deposit today to fulfill its obligation to Brad? (Please use the following provided
Table and Table 12.3.) (Use 365 days a year. Do not round intermediate calculations. Round your answer to the nearest cent.)
Deposit amount
124,779.35
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A saving account earns compound interest at an annual effective interest rate i. Given
that d12,41 = 0.08, Find i1,51-
%3D
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ezto.mheducation.com/ext/map/index.html?_con%=con&external_browser%3D0&launchUrl=https%253A%252F%252Fblackboard.waketech.edu%252Fwebapps%252Fportal%252Fframeset.jsp%25
Paul Havlik promised his grandson Jamie that he would give him $6,900 5 years from today for graduating from high school. Assume
money is worth 6% interest compounded semiannually.
What is the present value of this $6,900? (Use the Table provided.) (Do not round intermediate calculations. Round your answer to
the nearest cent.)
Present value
Bcer
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Stepwise pls thanks
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Appendix A Future value of $1, FV,
Period
1
2
4
7
8
13
14
D
16
CNN AN ENTRAMAMAMARIN
SRANAMANIANRAINAMAMAMANI
BENDR
MAMA ARATA NINAMAMAMÄNIR
İHİBİNİNANSAINANSMAMAN
******
ERMENEMANIN
******
18
BIRININTEN
****
KÜCKMEKAIN
******
RAMAMAMANTE
3*3*3*3
30
40
50
******
SMART
S
N
Na
2005
1303344
31
1350350
IN
1.010
1.020
1.030
1.041
1.051
1.062
1.083
1.094
1.105
1.116
1.127
1.138
1.149
1.161
1.173
1.184
1.196
1.208
1.220
1.282
1.348
1.489
1.645
1.020
1.040
1.061
1.082
1.104
1.149
1.172
1.195
1,219
1.243
1.268
1.294
1.319
FV = PV(1 +/)"
1.346
1.373
1.400
1.457
1.486
1.641
1.811
2.208
2.692
1.030
1.061
1.093
1.126
1.230
1.267
1.305
1.384
1.426
1.469
1.513
1.558
1.605
1.653
1.702
1.754
1.806
2.094
3.262
4.384
1.040
1.082
1.125
1.170
1.217
1.369
1.423
1.480
1.601
1.665
1.801
1.873
1.948
2.026
2.107
2.191
3.243
4.801
1.050
1.103
1.158
1.340
1.407
1.477
1.710
1.796
1.886
1.980
2.079
2.183
2.292
2.527
2.653
3.386
4.322
7.040
11.467
Percent
1.060
1.124
1.262
1.338
1.419
1.504
1.594
1.689
1.791
1.898…
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Question7.
Down
payment
Interest rate
Terms
Loan Amount
0
48
4%
4.12%
4.25%
4.75%
Find the mortgage payment for the terms and interest rates given
100000
60
72
84
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Payment #
Payment
Interest
Debt Payment
Balance
1
1,167.34
540.54
626.80
259,873.20
2
1,167.34
539.24
628.10
259,245.10
3
1,167.34
With the exception of column one, all amounts are in dollars. Calculate the annual interest rate on this loan.
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What is the PV of an annuity due with 5 payments of $5,700 at an interest rate of 6.1%?
a. $23,945.30
b. $27,940.90
c. $25,405.96
d. $29,645.30
e. $19,705.96
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Present value interest factor of $1 per period at i% for n periods, PVIF(i,n).
9.5%
10.0%
Period 0.5% 1.0%
1
0.8340
2
3
0.7462 0.7252 0.7050 0.6853 0.6663 0.6480 0.6302 0.6129
9
10
11
12
13
14
18
0.4746
1.5% 20% 2.5% 3.0 % 3.5 % 4.0% 4.5% 5.0% 5.5%
6.0% 6.5% 7.0 % 7.5 % 8.0% 8.5% 9.0 %
0.9950 0.9901 0.9852 0.9804 0.9756 0.9709 0.9662 0.9615 0.9569 0.9524 0.9479 0.9434 0.9390 0.9346 0.9302 0.9259 0.9217 0.9174 0.9132 0.9091
0.9901 0.9803 0.9707 0.9612 0.9518 0.9426 0.9335 0.9246 0.9157 0.9070 0.8985 0.8900 0.8817 0.8734 0.8653 0.8573 0.8495 0.8417
0.9851 0.9706 0.9563 0.9423 0.9286 0.9151 0.9019 0.8890
0.8264
0.8763 0.8638 0.8516 0.8396 0.8278 0.8163 0.8050 0.7938
0.9802 0.9610 0.9422 0.9238 0.9060 0.8885 0.8714 0.8548 0.8386
0.7829 0.7722 0.7617 0.7513
08227 0.8072 0.7921 0.7773 0.7629 0.7488 0.7350 0.7216 0.7084
0.9754 0.9515 0.9283 0.9057 0.8839 0.8626 0.8420 0.8219 0.8025
0.6956 0.6830
0.7835 0.7651 0.7473 0.7299 0.7130 0.6966 0.6806
0.9705 0.9420 0.9145 0.8880 0.8623 0.8375 0.8135…
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Appendix C Future value of an annuity of $1, FVA
Period
1
2
3
5
THREE
15
17
19
20
25
30
40
50
1.000
2.010
3.030
4.060
5.101
6.152
7.214
8.286
9.369
10.462
11.567
12.683
13.809
14.947
16.097
17.258
18.430
19.615
20.811
22.019
28.243
34.785
48.886
64.463
1.000
2.020
3.060
4.122
5.204
6.308
7.434
8.583
9.755
10.950
12.169
13.412
14.680
15.974
17.293
1.000
2.030
3.091
4.184
5.309
6.468
7.662
8.892
10.159
11.464
12.808
14.192
15.618
17.086
18.599
20.157
21.762
23.414
18.639
20.012
21.412
22.841
24.297
32.030
40.588
60.402
84.579 112.80
FVA-A
25.117
26.870
36.459
47.575
75.401
(1+0)"
1.000
2.040
3.122
4.246
5.416
6.633
7.898
10.583
12.006
13.486
15.026
16.627
18.292
20.024
23.698
25.645
27.671
29.778
41.646
56.085
95.026
152.67
1.000
2.050
3.153
4.310
5.526
6.802
8.142
9.549
12.578
14.207
15.917
17.713
19.599
21.579
23.657
25.840
28.132
30.539
33.066
47.727
66.439
120.80
209.35
Percent
1.000
2.060
3.184
4.375
5.637
6.975
8.394
9.897
11.491
13.181
14.972
16.870
18.882
21.015
23.276
25.673…
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Present Value of Bonds Payable; Discount
Pinder Co. produces and sells high-quality video equipment. To finance its operations, Pinder Co. issued $25,000,000 of five-year, 7% bonds, with interest payable
semiannually, at a market (effective) interest rate of 9%.
Determine the present value of the bonds payable, using the present value tables in Exhibit 8 and Exhibit 10. Round to the nearest dollar.
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Consider the following amortization schedule:
Payment #| Payment Interest Debt Payment
Balance
1
966.45
750.00
216.45
149, 783.55
2
966.45
748.92
217.53
149, 566.02
3
966.45
With the exception of column one, all amounts are in dollars. Calculate z. Give your answer in dollars to the
nearest dollar. Do not include commas or the dollar sign in your answer.
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Future values. Fill in the future values for the following table,
a. Use the future value formula, FV=PVX (1+r)^.
b. Use the TVM keys from a calculator.
c. Use the TVM function in a spreadsheet.
using one of the three methods below:
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