CH6 Extra Exercises
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School
California State University, Fullerton *
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Course
301B
Subject
Finance
Date
Jan 9, 2024
Type
xlsx
Pages
14
Uploaded by MajorThunder4433
CH6
Time Value of Money - Future value of single sum
a)
Present Value (PV)
13800
Interest (i)
8%
Number of Periods (Nper)
3
=FV(C7,C8,0,-C6,0)
$17,384.03 PV * FV ( 3, 8%)
$ 17,384.00 b)
Present Value (PV)
13800
Interest (i) 4%
Number of Periods (Nper)
6
=FV(C7,C8,0,-C6,0)
$17,461.40 Tony Spear invested $13,800 today in a fund that earns 8% compounded annually.
To what amount will the investment grow in 3 years? To what amount would the investment grow in 3 years if th
he fund earns 8% annual interest compounded semiannually?
CH6
Time Value of Money - Interest rate of single sum
What annual interest rate must she earn?
PV $ 35,600 FVF $ 181,976 Period
28 years
Rate i
unknow
FVF/PV= 5.111685393
table =
6%
=RATE(B9,0,B7,-B8,0)
6%
Stacy Willis will invest $35,600 today. She needs $181,976 in 28 years.
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CH6
Time Value of Money - Period of single sum
How many years will it take for the fund to grow to $16,827?
Tony Newman will invest $9,960 today in a fund that earns 6% annual interest.
CH6
Time Value of Money - Present Value of Single Sum
Newman Fillmore’s lifelong dream is to own his own fishing boat to use in his retirement. Newman has recently come into an inheritance of $432,500. He estimates that the boat he wants will cost $344,700 when he retires in 6 years.
How much of his inheritance must he invest at an annual rate of 11% (compounded annually) to buy the boat at retirement?
CH6
Time Value of Money - PV of Annuity (OA and AD)
PMT
34200
PERIOD (Nper)
10
Rate (rate)
5%
PMT
34200
PMT
Table
2.59374 Table
88,705.99 PVOA =
$264,083.33 =PV(D7,D6,-D5,0,1)
$277,287.50 FVOA = $430,163.92 FVAD=
$451,672.12 FVAD=
#REF!
Alan Quincy wants to withdraw $34,200 each year for 10 years from a fund that earns 5% interest.
How much must he invest today if the first withdrawal is at year-end (ordinary annuity
)? How much withdrawal takes place immediately? PVOA
= PMT (34,200) * PVOA (use table= 10, 5%)
PVAD
= PMT * pvad (use table= Nper,
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34200
2.59374 must he invest today if the first rate)
CH6
Time Value of Money - FV of Annuity (OA)
What amount will be in the fund immediately after the last deposit?
Pmt
$ 45,600 Int. Rate
15% annually
Period
7 years
Adams Inc. will deposit $45,600 in a 15% fund at the end of each year for 7 years beginning December 31, 201
17
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CH6
Time Value of Money - Deferred Annuity
Pmt
$ 34,500 Period-ordinary annuity
7 years
Period-single sum
3 years
Rate
12% annually
From the 7th year to the 1st withdrawal, the fund is a 7-year period annuity with yearly payment of $34,500.
Since this 7-year period annuity doesn’t start until 4 years from now, it is called "deferred annuity"--an annuit
The PV of this annuity at the beginning of 3rd year:
The PV of the last 3 years' annuity is the FV of the single sum that Maria invest today:
Maria Monroe wants to create a fund today that will enable her to withdraw $34,500 per year for 7 years, wi
If the fund earns 12% interest, how much must Maria invest today?
y that is deferred for 3 years if to use ordinary annuity table.
ith the first withdrawal to take place 4 years from today.
CH6
Time Value of Money - Issuance price of bond
What amount will Swifty receive when it issues the bonds?
Swifty Inc. issues $2,050,700 of 7% bonds due in 11 years with interest payable at year-end. The current
rate of interest for bonds of similar risk is 8%.
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t market
CH6
Time Value of Money - Interest Rate
Determine the interest rate on this loan, if the payments begin one year after the loan is signed.
Steve Taylor is settling a $20,780 loan due today by making 6 equal annual payments of $5,054.23.
Related Documents
Related Questions
Determine the future value of the following single amounts:
No. of Periods
Invested Amount
Interest Rate
$15,000
6%
12
1.
2.
20,000
10
3.
30,000
12
20
50,000
4
12
4.
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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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Simple Interest: I = Prt
Simple Interest Future Value: FV =
: P(1+rt)
Compound Interest: FV = P(1+)nt
Annual Yield: APY
(1+ 5)" – 1
(1+)nt – 1
Ordinary Annuity (payments due at the end of each period): FV,
= pymt ·
Annuity Due (payments due in the beginning of each period): FV4= pymt ·
(1+5)nt – 1
(1+5)
r.
n
Present Value of Annuity: P(1+)nt = FV (annuity)
(1+ 5)nt – 1
Simple Interest Amortized Loan: pymt-
P(1+)n
(1+ 5)nt – 1
Simple Interest Amortized Loan Unpaid Balance (after t years): P(1+5)nt – pymt-
(1+ 5)nt – 1
Payout Annuity: P(1+)nt = pymt ·
n
(1+c
1-
1+r
Payout Annuity with COLA: P
pymt ·
r - c
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Janine is 35 and has a good job at a biotechnology company. Janine estimates that she will need $899,000 in her total retirement nest
egg by the time she is 65 in order to have retirement income of $27,500 a year. (She expects that Social Security will pay her an
additional $17,000 a year.) She currently has $4,000 in an IRA, an important part of her retirement nest egg. She believes her IRA will
grow at an annual rate of 9 percent, and she plans to leave it untouched until she retires at age 65. How much money will Janine have
to accumulate in her company's 401(k) plan over the next 30 years in order to reach her retirement income goal? Use Exhibit 1-A.
(Round time value factor to 3 decimal places. Round intermediate and final answer to 2 decimal places.)
401(k) accumulation
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A4
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3.16 Supposed v(t) = 20/(20 + t). Assuming that future payment earn the forward rates of interest, calculate the value at time 2 of the following stream of payments:
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What is the net present worth of the cash flow series below at an interest rate of 9%
End of Period Cash Flow End of Period Cash Flow
-P100k
5
-P300k
1
-P150k
-P250k
2
-P200k
7
-P200k
-P250k
8
-P150k
4
-P300k
-P100k
Select one:
O -P1,246k
O -P1,027k
O -P1,127k
O -P1,386k
9,
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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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Hh1.
Account
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Shuttle Company issued $1,000,000, three-year, 10 percent bonds on January 1, year 1. The bond interest is paid each December 31,
the end of the company's fiscal year. The bond was sold to yield 9 percent. Use Table 9C.1, Table 9C.2. (Round time value factor to 4
decimal places.)
Required:
1. Complete a bond payment schedule. Use the effective-interest amortization method. (Make sure that the unamortized
discount/premium equals to '0' and the Net Liability equals to face value of the bond in the last period. Interest expense in the last
period should be calculated as Cash Interest (+) discount / (−) premium amortized. Round intermediate and final answers to the
nearest whole dollar.)
Date
1/1/year 1
12/31/year 1
12/31/year 2
12/31/year 3
Interest expense
Bonds payable
Interest payment
Issuance of bonds
Payment of bonds
Bond Payment Schedule
Interest
Expense
Cash Payment
$
100,000
100,000
100,000
Amortization
of Premium
2. What amounts will be reported on the financial statements…
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acc2
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Solve for the unknown interest rate in each of the following: (Do
2 decimal places.)
Present Value Years
$ 310
4
430
18
19
25
39,700
38,961
Interest Rate
olo oo oo
Future Value
388
$
1,430
186,082
538,618
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How do i do this?
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A4 please help......
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None
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Hh3.
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Pls help fast sir pls with explanation also
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You work for a nuclear research laboratory that is contemplating leasing a diagnostic
scanner (leasing is a very common practice with expensive, high-tech equipment). The
scanner costs $4,800,000, and it would be depreciated straight-line to zero over four
years. Because of radiation contamination, it actually will be completely valueless in four
years. You can lease it for $1,430,000 per year for four years. Assume that the tax rate is
21 percent.
Suppose the entire $4,800,000 purchase price of the scanner is borrowed. The rate on
the loan is 8 percent, and the loan will be repaid in equal annual installments.
Calculate the amount of annual loan repayment. (Do not round intermediate
calculations and round your answer to 2 decimal places, e.g., 32.16.)
Payment
Complete the schedules given below and calculate the NAL. (A negative answer should
be indicated by a minus sign. Do not round intermediate calculations and round your
answers to 2 decimal places, e.g., 32.16.)
Amortization
Year…
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Subject:
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Using provided data, solve for interest rate. Use the N value when looking up the factor in the tables. Do
NOT use the annual values. Round the factor to four decimal places. Enter the interest rate as a percentage.
Do not enter the interest rate as a decimal.
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- Determine the future value of the following single amounts: No. of Periods Invested Amount Interest Rate $15,000 6% 12 1. 2. 20,000 10 3. 30,000 12 20 50,000 4 12 4.arrow_forwardA saving account earns compound interest at an annual effective interest rate i. Given that d12,41 = 0.08, Find i1,51- %3Darrow_forwardSimple Interest: I = Prt Simple Interest Future Value: FV = : P(1+rt) Compound Interest: FV = P(1+)nt Annual Yield: APY (1+ 5)" – 1 (1+)nt – 1 Ordinary Annuity (payments due at the end of each period): FV, = pymt · Annuity Due (payments due in the beginning of each period): FV4= pymt · (1+5)nt – 1 (1+5) r. n Present Value of Annuity: P(1+)nt = FV (annuity) (1+ 5)nt – 1 Simple Interest Amortized Loan: pymt- P(1+)n (1+ 5)nt – 1 Simple Interest Amortized Loan Unpaid Balance (after t years): P(1+5)nt – pymt- (1+ 5)nt – 1 Payout Annuity: P(1+)nt = pymt · n (1+c 1- 1+r Payout Annuity with COLA: P pymt · r - carrow_forward
- Janine is 35 and has a good job at a biotechnology company. Janine estimates that she will need $899,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $27,500 a year. (She expects that Social Security will pay her an additional $17,000 a year.) She currently has $4,000 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 9 percent, and she plans to leave it untouched until she retires at age 65. How much money will Janine have to accumulate in her company's 401(k) plan over the next 30 years in order to reach her retirement income goal? Use Exhibit 1-A. (Round time value factor to 3 decimal places. Round intermediate and final answer to 2 decimal places.) 401(k) accumulationarrow_forwardA4arrow_forward3.16 Supposed v(t) = 20/(20 + t). Assuming that future payment earn the forward rates of interest, calculate the value at time 2 of the following stream of payments:arrow_forward
- What is the net present worth of the cash flow series below at an interest rate of 9% End of Period Cash Flow End of Period Cash Flow -P100k 5 -P300k 1 -P150k -P250k 2 -P200k 7 -P200k -P250k 8 -P150k 4 -P300k -P100k Select one: O -P1,246k O -P1,027k O -P1,127k O -P1,386k 9,arrow_forwardTABLE 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…arrow_forwardHh1. Accountarrow_forward
- Shuttle Company issued $1,000,000, three-year, 10 percent bonds on January 1, year 1. The bond interest is paid each December 31, the end of the company's fiscal year. The bond was sold to yield 9 percent. Use Table 9C.1, Table 9C.2. (Round time value factor to 4 decimal places.) Required: 1. Complete a bond payment schedule. Use the effective-interest amortization method. (Make sure that the unamortized discount/premium equals to '0' and the Net Liability equals to face value of the bond in the last period. Interest expense in the last period should be calculated as Cash Interest (+) discount / (−) premium amortized. Round intermediate and final answers to the nearest whole dollar.) Date 1/1/year 1 12/31/year 1 12/31/year 2 12/31/year 3 Interest expense Bonds payable Interest payment Issuance of bonds Payment of bonds Bond Payment Schedule Interest Expense Cash Payment $ 100,000 100,000 100,000 Amortization of Premium 2. What amounts will be reported on the financial statements…arrow_forwardacc2arrow_forwardSolve for the unknown interest rate in each of the following: (Do 2 decimal places.) Present Value Years $ 310 4 430 18 19 25 39,700 38,961 Interest Rate olo oo oo Future Value 388 $ 1,430 186,082 538,618arrow_forward
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