Present and Future value, NPV, IRR, Profitability index, Ranking of projects

Question 1: Future value of annuity problem.
You deposit $8,000 into a retirement account at the end of the next 12 years earning 10% interest, what is the future value of your retirement after 12 years?
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Question 2:
Part 1)
Using a 4.4% discount rate, calculate the Net Present Value, Payback, Profitability Index and IRR for each of the investment projects below (note, the inflows are for each year). Based on your calculations rank the projects and support you answer.
Project 1:
Initial Invest = $505,000, Cash inflows of $105,000 for years 1-5 and $50,000 for years 6-10
Project 2:
Initial Invest = $1,100,000, Cash inflows of $420,000 for years 1-3, $0 for years 4-7 and $250,000 for years 8-10.
Project 3:
Initial Invest = $840,000, Cash inflows of $300,000 for years 1-5, $0 for years 6-9 and $100,000 for year 10.
(Part 2)
Assuming a budget of $1,200,000 what are your recommendations for the three projects in the above problem. Explain.
Assuming a budget of $2,000,000 what are your recommendations for the above problem? Explain.
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Question 3: Risk & Return and the CAPM.
Based on the following information, calculate the required return based on the CAPM:
Risk Free Rate = 3.75%
Market Return =10%
Beta = 1.32
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Question 4: Present value of annuity problem.
You will receive $2,000 at the end of the next 12 years, assuming a 6% discount rate, what is the present value of the cash flows?

Sunshine Corporation is considering several long-term investments. Management wants to accept the two best projects, given the following data:
Project
A B C D E
Present value of
net cash inflows . . . . . . . . $24,000 $44,000 $15,000 $30,000 $50,000
Investment cost . . . . . . . . . . 20,000 40,000 16,000 24,000 41,000

Just One, Inc. has two mutually exclusive investment projects P & Q, shown below. Suppose the interest rate is 10%.
Project Investment Year 1 Year 2 IRR NPV(r=10%)
P -200.00 140 128.25 22.4% 33.26
Q -100.00 80.00

Profitability Index versus NPV. Consider these two projects:
Project C0 C1 C2 C3
A -$36 +$20 +$20 +$20
B - 50 + 25 + 25 + 25
a. Which project has the highest NPV if the discount rare is 10%?

Question -For independent projects, is it true that if PI>0, then NPV>0, and IRR>K?
Is my answer correct?
PI= (I+NPV) / I where I=Investment
if PI>0 then {(I+NPV) / I}>0 which means NPV> -I meaning NPV>0 where <0>
is the limit of I
NPV=0={C1 / (1+IRR)}-I={C1 / (1+k)}-I where C1 is the expected future net
cash flo

Sunshine Corporation is considering several long-term investments. Management wants to accept the two best projects, given the following data:
Project
A B C D E
Present value of . . . . . . . $24,000 $44,000 $15,000 $30,000 $50,000
net cash inflows . . . . . . 20,000 40,000 1

(10-1)
NPV
A project has an initial cost of $40,000, expected net cash inflows of $9,000 per year for 7 years, and a cost of capital of 11%. What is the project's NPV (Hint: Begin by constructing a time line.)
(10-2)
IRR
Refer to Problem 10-1. What is the Project's IRR?
(10-3)
MIRR
Refer to Problem 10-1 What is t

Please view attachment for question.
a. Calculate the NPV,IRR,ProfitabilityIndex,and MIRR for this project with a cost of capital of 12%.
(see attached)
b.For a single conventional project, the NPV and IRR will agree on whether to invest or to not invest. However, in the case of two mutually exclusive projects, th

Company K is considering two mutually exclusive projects. The cash flows of the projects are as follows:
Year Project A Project B
0 -$2,000 -$2,000
1 $500
2 $500
3

There are two mutually exclusive projects under consideration by the
Stephen Company. The following is the expected cash flows from the
projects:
Year Project A Project B
0 -30,000 -60,000
1 10,000 20,000
2 10,000 20,000
3 10,000 20,000
4 10,000 20,000
5 10,000 20,000
The cost of capital is 14%.
Please calculate th