Project Evaluation & Selection

This assignment presents two distinct projects: a standard smoker (Project A) and a deluxe Smoke-alator (Project B). Students are tasked with evaluating these projects by calculating their Net Present Value (NPV) and Equivalent Annual Annuity. Using a 10% required rate of return, the analysis compares NPVs and calculates Equivalent Annual Annuities for each project over its lifespan. Based on the calculated financial metrics, students must determine which project offers the most favorable investment opportunity and justify their choice.

Principles of Finance

TABLE OF CONTENTS
Q.1...............................................................................................................................................3
Q.2...............................................................................................................................................4
a....................................................................................................................................................4
b...................................................................................................................................................4
Q.3...............................................................................................................................................4
a....................................................................................................................................................4
b...................................................................................................................................................4
c....................................................................................................................................................4
Q.4...............................................................................................................................................5
a....................................................................................................................................................5
b...................................................................................................................................................5
Q.6...............................................................................................................................................5
Q.7...............................................................................................................................................6
a. Computation of average return and standard deviation for Zemin Corp and market.............6
b. Calculation of the required rate of return................................................................................7
c. Comparing historical average return with required rate of return...........................................7
Q.8...............................................................................................................................................7
a. Payback period.........................................................................................................................7
b. Discounted payback period......................................................................................................8
c. Net present value......................................................................................................................8
d. Profitability index....................................................................................................................9
e. Internal rate of return...............................................................................................................9
f. MIRR if the re-investment rate is 10 percent..........................................................9
g. MIRR if the re-investment rate is 12 percent.......................................................10

Q.9.............................................................................................................................................11
a. Stating project which needs to be selected on the basis of capital rationing.........................11
b. Presenting problems which are associated with capital rationing.........................................12
Q.10 Calculating NPV using replacement chains to compare these two
projects...................................................................................................................................12
Q.11 Calculating equivalent annual annuity (EAA)..................................................................15

Q.1
Specifically, there are mainly three sources of funds which can be used by the manager
for raising funds for business expansion includes equity, preference shares and debt capital.
Ordinary shares: This implies for the shares which provide shareholders with right to
vote or in relation to taking part in the company’s meeting. In this, amount of dividend varies
and sometimes missed as per the fortunes or profit level of the firm.
Advantages Drawbacks
It does not impose financial burden in terms of
dividend payment.
Increases interference of shareholders in the
decision-making aspect
Preference shares: It is also termed as preferred stock in which concerned shareholders
get priority in dividend over ordinary shareholders. Further, at the time of company’s bankruptcy
preference shareholders are paid fist in comparison to the equity-holders.
Advantages Drawbacks
 No interference of shareholders
 No charge on assets
 Ensures flexibility
 Fixed obligation in the form of
dividend payment
 Claim preferences
 Skipped dividend aspect negatively
affects market image.
Debt capital: It includes both bonds and bank loan which unit can employ for financing
business projects and meeting monetary requirements.
Advantages Drawbacks
 Offers benefit in tax brackets
 Contributes in the reduction of WACC
and helps in creating optimal capital
structure
 Fixed financial burden in terms of
interest payment
 High interest charges impact
profitability

Q.2
a.
Profit: 120
b.
Loss: 200
Q.3
a.
Day Value of Imaginationum Margin
1 390 29
2 410 31
3 370 28
4 450 34
5 420 32
6 400 30
7 360 27
8 410 31
241
b.
The gearing aspect in a futures contract allows investor to trade their contracts through
posting a fraction of the position's value in the form of collateral. Hence, if the price will move
up then it affect the return on capital to gearup.
c.
Forward market Future market

It implies for the informal over –the-counter
financial market where contracts for future delivery
made.
In this market, commodities, stock, precious metals
etc are bought and sold at a predetermined price
within the specific time in future.
Q.4
a.
For the purpose of hedging, 450 exercise prices will be considered.
b.
Intrinsic value implies for the amount by which the strike price of an option is in-the
money.
Time value: It implies for an extrinsic value and reflects the amount which exceeds
intrinsic figure of an option.
In-the money call option: This implies for the call option where strike price of an
underlying assets are less than spot figure.
At-the money call option: When strike price is equal to spot price pertaining to an
underlying assets then it considered as at the money call option.
Out-the-money call option: It entails for the one where strike price of an option is higher
as compared to spot price.
Q.6
Common stock A
Probability Return
Probability *
Return
0.3 11% 3.3%
0.4 15% 6.0%
0.3 19% 5.7%
Expected return 15.0%
Standard deviation 1.48%

Common stock B
Probability Return
Probability *
Return
0.2 -5% -1.0%
0.3 6% 1.8%
0.3 14% 4.2%
0.2 22% 4.4%
Expected return 9.4%
Standard deviation 2.53%
Considering overall evaluation, it can be depicted that common stock A is better from
investment perspective over others. Moreover stock A is offering high returns such as 15% at
lower risk level (1.48%), so it considered as highly suitable.
Q.7
a. Computation of average return and standard deviation for Zemin Corp and market
Month Zemin Corp Market
1 6% 4%
2 3% 2%
3 -1% 1%
4 -3% -2%
5 5% 2%
6 0% 2%
Average return (monthly) 1.7% 1.5%
Standard deviation
(monthly) 3.6% 1.97%

Annual Market return (1.5% *12) 18.0%
annual standard deviation (1.97% * SQRT of 12) 6.8%
b. Calculation of the required rate of return
Particulars Figures
Beta 1.54
Risk free return 4%
Annualized market return (1.5% * 12) 18.0%
Rf + beta (Rm – Rf) 25.6%
On the basis of CAPM model, in against to the risk undertaken, investors are expecting
25.6% return from the securities.
c. Comparing historical average return with required rate of return
Particulars Figures
Historical average return 20.0%
appropriate required return 25.6%
The above depicted table shows that historical return is near to the required rate of
return. Hence, in the long run investor might get high returns by investing money in such riskier
or volatile securities.

Q.8
a. Payback period
Cash- inflow / initial investment
= 23000 / 100000
= 4.3 years
b. Discounted payback period
Year Discounted cash-flow (in £)
Cumulative discounted cash-
flow (in £)
1 20909.09 20909.09
2 19008.26 39917.36
3 17280.24 57197.6
4 15709.31 72906.91
5 14281.19 87188.1
6 12982.9 100171
5 + 12811.9 / 12982.9
= 5.99 or 6 years
c. Net present value
Year
Cash flows
(in £)
PV factor
10%
PV of cash
flows (in £)
1 23000 0.909 20909.1
2 23000 0.826 19008.3
3 23000 0.751 17280.2
4 23000 0.683 15709.3
5 23000 0.621 14281.2
6 23000 0.564 12982.9

TDCF 100171
II 100000
NPV 170.996
d. Profitability index
PI = 1 + (NPV / initial investment)
= 1 + 170.996 / 100000
= 1 + 0.002
= 1.002 or 1
e. Internal rate of return
Year Cash flows (in £)
0 (Initial investment) -100000
1 23000
2 23000
3 23000
4 23000
5 23000
6 23000
IRR 10%

f. MIRR if the re-investment rate is 10 percent
Particulars Figures
Number of years 6
Finance rate (in %) 10%
Reinvest rate (in %) 10%
Year Cash flows (in £)
0 (100000)
1 23000
2 23000
3 23000
4 23000
5 23000
6 23000
Calculations
Particulars Outcome
Present value of outflows (100000)
Future value of inflows 177459
Modified internal rate of12 return (in %) 10.03%
g. MIRR if the re-investment rate is 12 percent

Number of years 6
Finance rate (in %) 10%
Reinvest rate (in %) 12%
Year Cash flows (in £)
0 (100000)
1 23000
2 23000
3 23000
4 23000
5 23000
6 23000
Calculations
Particulars Outcome
Present value of outflows (100000)
Future value of inflows 186649
Modified internal rate of12 return (in %) 10.96 or 11%
Q.9
a. Stating project which needs to be selected on the basis of capital rationing
Project Cost (in £) PI Ranking
Cash-flows
(in £) NPV
ranking
on the
basis of
NPV
a 4000000 1.18 5 4720000 720000 5
b 3000000 1.08 7 3240000 240000 7

c 5000000 1.33 1 6650000 1650000 2
d 6000000 1.31 2 7860000 1860000 1
e 4000000 1.19 4 4760000 760000 4
f 6000000 1.2 3 7200000 1200000 3
g 4000000 1.18 6 4720000 720000 5
b. Presenting problems which are associated with capital rationing
There are some problems which in turn highly associated with the aspects of capital
rationing such as:
 In this, NPV is not maximized because in this, all the profitable projects are not selected.
 Capital rationing leads the selection of small projects as compared to the large scale
investments
 Selection of suitable project as per capital rationing is highly dependent on cost of
capital
Q.10 Calculating NPV using replacement chains to compare these two
projects
First project: Remodeling of an existing hotel
Year
Cash flows (in
£)
PV factor @
10%
Present value of cash flows
(in £)
1 250,000 0.909 227272.7
2 250,000 0.826 206611.6
3 250,000 0.751 187828.7
4 250,000 0.683 170753.4

5 250,000 0.621 155230.3
6 250,000 0.564 141118.5
7 250,000 0.513 128289.5
8 250,000 0.467 116626.8
Total discounted cash
flows 1333732
Initial investment
1000000
NPV
333731.5
Year
Cash flows (in
£)
PV factor @
10%
Present value of cash flows
(in £)
9 250,000 0.424 106024.4
10 250,000 0.386 96385.82
11 250,000 0.350 87623.47
12 250,000 0.319 79657.7
13 250,000 0.290 72416.09
14 250,000 0.263 65832.81
15 250,000 0.239 59848.01
16 250,000 0.218 54407.28

Total discounted cash
flows 622195.6
Initial investment 1000000
NPV -377804
Total or net NPV: 333731.5 + (-377804)
= -44072.8
Second project: New conventional model
Year
Cash flows (in
£)
PV factor @
10%
Present value of cash flows
(in £)
1 175000 0.909 159090.9
2 175000 0.826 144628.1
3 175000 0.751 131480.1
4 175000 0.683 119527.4
5 175000 0.621 108661.2
6 175000 0.564 98782.94
7 175000 0.513 89802.67
8 175000 0.467 81638.79
9 175000 0.424 74217.08
10 175000 0.386 67470.08
11 175000 0.350 61336.43
12 175000 0.319 55760.39

13 175000 0.290 50691.27
14 175000 0.263 46082.97
15 175000 0.239 41893.61
16 175000 0.218 38085.1
Total discounted cash
flows 1369149
Initial investment 1000000
NPV 369149
On the basis of investment appraisal selection criteria’s Destination Hotels should
focus on the reconvention model pertaining to beach front property on Hilton
Head Island. Moreover, NPV associated with the reconvention model is
higher and positive in comparison to the other alternative available
regarding the remodeling of an existing hotel.
Q.11 Calculating equivalent annual annuity (EAA).
Project A: First relatively standard smoker
Year Cash flows (in £)
PV
factor
@
10%
Present
value of
cash
flows (in
£)
50000
1 16000 0.909
14545.4
5
2 16000 0.826 13223.1

4
3 16000 0.751
12021.0
4
4 16000 0.683
10928.2
2
5 16000 0.621
9934.74
1
6 16000 0.564
9031.58
3
7 16000 0.513 8210.53
8 16000 0.467
7464.11
8
TDCF
85358.8
2
II 50000
NPV
35358.8
2
Project B: Deluxe award-winning Smoke-alator
Year Cash flows
PV factor @
10%
Present value of cash
flows
78000
1 23000 0.909 20909.09
2 23000 0.826 19008.26
3 23000 0.751 17280.24
4 23000 0.683 15709.31
5 23000 0.621 14281.19
6 23000 0.564 12982.9