Capital Investment Analysis.



as least as possible. 
6PM last

ACC 212

REVIEW FOR FINAL EXAM
tUESDAY 3:00-4:50 Room 134.

SPRING 2019


INSTRUCTIONS: Complete this review guide to prepare for Final Test 4.

Chapter 10

1.  Know how to answer all the differential decision making problems.

A.    Lease or sell

B.    Make or buy

C.    Sell or process further

D.    Discontinue a segment
E.    Special purchase, etc.

2.  Know terms such as sunk cost, opportunity cost, etc.

CHAPTER 11

1.  Define/describe capital investment analysis.

2.  Which methods of analyzing capital investment proposals use present values?



3.  Which methods of analyzing capital investment proposals do not use present values?

4.  Describe the time value of money concept and its relationship to present value.



5.  Calculate the average rate of return for a proposed investment.


6. Calculate the payback period for a proposed investment.


7.  Calculate the present value of a future amount. What is the present value of $1000 to be received at the end of three periods discounted at 12%?

8.  Calculate the present value of an annuity. What is the present value of an annuity of $1000 per period payable at the end of the next five periods discounted at 12%?



9.  Describe and calculate net present value and a present value index. When is the present value index useful? 11. Define the term annuity.

10.Describe six factors which complicate capital investment decisions.



11.  Define capital rationing.

11.  Calculate IRR.
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Solution
ACC 212
REVIEW FOR FINAL EXAM
Tuesday 3:00-4:50
 Room 134.
SPRING 2019 
Chapter 10
1. Know how to answer all the differential decision-making problems.
A. Lease or sell
While leasing an asset the problem which is faced by the owner of that asset is that the owner has to bear all the wear and tear and repair maintenance cost related to that asset if it is operational level while on the other hand in the financial lease the owner get the total value of that asset in portions in the form of instalments. On the other hand, while selling the asset, the fair value of the asset needs to be estimated so that the gain and loss on the sale of that asset can e calculated
B. Make or buy
Buy:
While buying an asset, all the costs which were occurred from buying that asset till making it able to perform will be capitalized
Make:
All the costs which occur while making an asset helps to calculate the total value of that asset.
C. Sell or process further
While selling an asset the gain or loss on sale will be recorded while processing that asset further, the asset will be recorded in the balance sheet of the company
D. Discontinue a segment
Every discontinued operation of the company is also subject to record profit, and loss on that operation that was capital gain was made on the discontinuation of that asset or loss was made while selling that asset
E. Special purchase, etc.
Special purchases are also recorded as the asset of the company while the normal purchases are also part of the inventory of the balance sheet of a company
2. Know terms such as sunk cost, opportunity cost, etc.
The sunk cost of the company is known as the cost which has occurred and which cannot be recovered. These kinds of costs are not capitalized but recorded at the expense or loss section of the income statement of the company
CHAPTER 11
1.      Define/describe capital investment analysis.
Answer:
Capital investment analysis hips to analyze the investments in terms of the capital  invested in the projects and the estimated return rates associated with these investments   to check the feasibility of the project that does these projects need to be accepted or not while  performing the capital investment analysis
2.      Which methods of analyzing capital investment proposals use present values?
Answer:
Following are the capital investment appraisal methods,
·         The average/accounting rate of return (ARR) method.
·         payback period method
·         Discounted payback period
·         The net present value (NPV) method.
·         The internal rate of return (IRR) method.
3.      Which methods of analyzing capital investment proposals do not use present values?
Answer:
Following are the methods which do not use the present value,
·         Payback period method
·         Average / accounting rate of return (ARR)

4.      Describe the time value of money concept and its relationship to present value.
Answer:
According to the concept of the time value for money, the money loses its value over the period therefore the companies always discount its projects on the cost of capital of the company to calculate the present value of the future cash flows, which will be generated from a project under consideration. As the project evaluators /investors are evaluating the project in present time, therefore, all the cash flows which are expected in future will be discounted to calculate the present value so that these cash flows can be compared with the present value of the total investment to calculate the net present value. if the net present value of the project will be positive, then that project will be accepted while in case of present negative value the project will be rejected the rate which is used to  discount the cash flows of a project is known as the cost of capital rate of the company
5.      Calculate the average rate of return for a proposed investment.
Answer:
The formula for ARR is:
Average Rate of Return formula = Average Annual Net Earnings after Taxes / Initial investment * 100%
Or
Average Rate of Return formula = Average annual net earnings after taxes / Average investment of the project * 100%
Or
ARR = average annual profit / average investment
Note:
Average investment = (book value at year 1+ book value at end of useful life) / 2
Average annual profit = total profit over investment period/number of years

6.      Calculate the payback period for a proposed investment.
Initial investment
Cash flow per year
 Answer:
Payback Period =


Discounted Payback Period =
- ln(1 -
investment amount × discount rate
cash flow per year
)
ln(1+rate)

7.      Calculate the present value of a future amount. What is the present value of $1000 to be received at the end of three periods discounted at 12%?

Answer:
Present value=FV/(1+r) n
r= rate of return (or cost of capital)
FV= future value (future amount to be received)
N= number of years
Present value = 1000 (1+0.12)3
Present Value: $711.78
Total Interest: $288.22
8.      Calculate the present value of an annuity. What is the present value of an annuity of $1000 per period payable at the end of the next five periods discounted at 12%?
Answer:
FVOrdinary Annuity=C× [(1+i) n1/ i]
C= cash flow per year
i=interest rate
n=total number of or years payments​
Results of the calculations are as follows,
End Balance of 5 years annuity
$7,115.19
Total Principal
$5,000.00
Total Interest
$2,115.19

9.      Describe and calculate the net present value and a present value index. When is the present value index useful? Define the term annuity.
Answer:
NPV:
Net present value is known as the net value of a project after deducting the total investment from the present value of future cash flows
NPV = Total investment - a total of the present value of all cash inflows
If there will be positive NPV, then the project will be accepted while on the other hand in case of negative NPV, the project will be rejected
Present value index:
Present Value Index (PVI) is known as the ratio of the NPV of a project as compared to the initial investment (outflow) required for it. This index helps to measure the efficiency of investment decisions, particularly in case of limited resources with multiple opportunities of investment available(capital rationing).
Annuity:
An annuity is known as the series of payments which after an equal interval of time. In annuity the payments remain the same every year because size and duration (interval) of payment do not change in case of an annuity
10.  Describe six factors which complicate capital investment decisions.
Answer:
Following are the factors which can result in leading to a complicated capital investment situation/ decision:
A.    If the economic and market  situation is changing rapidly
B.     When limited resources (investment) is available
C.     When more than one or multiple investment opportunities are available, and investment with the investor is limited
D.    Inappropriate use of the investment appraisal method, which is either outdated or which do not account for all the factors
E.     When it is difficult to find a rate to discount a project due to the availability of multiple rates or due to unavailability of any appropriate rate
F.      If an investor is going to appraise an investment opportunity which is based on a seasonal or new business idea, which is going to be exercised the very first time

11.  Define capital rationing.
Answer:
Capital rationing is a tool to calculate the net present value index of projects when an investor has a limited amount to invest on, and one is offered multiple numbers of projects which have positive NPV and there is no apparent reason of rejecting the projects among them then, in that case, the net present value investment index help to evaluate that how much the return will be earned by investor on each dollar invested in a project. After prioritizing all projects based on their net present value index, the project with higher net present value index will be selected while others will be rejected based on it

11.  Calculate IRR.
Answer:
IRR is the rate at which NPV is zero. It helps to compare this rate with the cost of capital rate. If the IRR is higher than the cost of capital rate then the project will be accepted while in case of lower IRR rate then the COC rate, the project will be rejected.
The formula which can be used for the calculation of the IRR is as follows,
Wherehttp://dl.groovygecko.net/anon.groovy/clients/kaplan/AlexILS/ACCAWIKI/ACCA_F9_HTML/Images/F9_IRR_formula.gif
L = Lower rate of interest
H = Higher rate of interest
NL = NPV at a lower rate of interest
NH = NPV at a higher rate of interest.