Finance Portfolio Management Report: Employee Stock Options

This report provides a comprehensive analysis of finance portfolio management, addressing key aspects such as employee stock options and airline fuel cost hedging. Part 1 of the report focuses on employee stock options, utilizing the Black-Scholes model to determine option values and assess whether to exercise options immediately. It considers factors like the employee's potential departure and the inability to hedge the options. The report calculates the value of call options under different scenarios. Part 2 delves into the pros and cons of hedging airline fuel costs, examining the advantages of reducing costs, maximizing profits, and minimizing oil price volatility. It also discusses the disadvantages, including the downside of hedging when prices are favorable, the cost of hedges, potential for speculation, and the need for thorough research. The report provides insights into hedging strategies and their impact on airline profitability and risk management.

Running head: FINANCE PORTFOLIO MANAGEMENT
Finance Portfolio Management
Name of the Student:
Name of the University:
Authors Note:

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Table of Contents
Part 1:.........................................................................................................................................2
1 Indicating whether the options should be kept or exercised immediately, while detecting the
important determinants in making such decisions:....................................................................2
2 Indicating the minimum and maximum value assigned to the option:...................................3
Part 2: Discussing the pros and cons of hedging airline fuel costs by the airline companies....4
References and Bibliography:....................................................................................................9

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Part 1:
1 Indicating whether the options should be kept or exercised immediately, while
detecting the important determinants in making such decisions:
There are several factors that influence the decision regarding the exercise of an
option. One of the major factors is the whether after three years the employee is intending to
leave the organisation. Then the call option needs to be exercised immediately without any
fail, as there is no point in holding the call option any further. Moreover, the second factor is
identified from the situation is that the employee cannot sell the option contract neither it
could use any hedging measures (Shokrollahi and Sottinen 2017). Thus, from the time period
of the vesting the option contract cannot be exercised, after the stipulated period the contract
can be ended as per the discretion of the employee.
Particulars Value
Current price £ 55.00
Strike price £ 65.00
Time 1
Risk free rate 3.40%
Standard deviation 25.00%
PV 62.8271
s*t^.5 0.2500
d1 -0.4072
d2 -0.6572
N(d1) 0.3419
N(d2) 16.0537
Value of Call £ 2.75
The above calculation provides the information regarding the value of Call after three
years, which is relevantly at the levels of £ 2.75 from the initial calculated value of £ 2.13.
This increment in the call value is due to the increase in the current price of the stock, which

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indicates a positive attribute for the investor. This increment in call value states that the
investors is in profit and can exercise the option to gain higher return from investment. Zhang
et al. (2016) mentioned that options contract allows the investors to conduct speculative
trading by substantially reducing the investment capital.
2 Indicating the minimum and maximum value assigned to the option:
Particulars Value
Current price £ 40.00
Strike price £ 65.00
Time 3
Risk free rate 3.40%
Standard deviation 25.00%
PV 58.6969
s*t^.5 0.4330
d1 -0.6692
d2 -1.1022
N(d1) 0.2517
N(d2) 7.9353
Value of Call
Minimum £ 2.13
Particulars Value
Current price £ 40.00
Strike price £ 65.00
Time 10
Risk free rate 6.00%
Standard deviation 25.00%
PV 35.6728
s*t^.5 0.7906
d1 0.5401
d2 -0.2505
N(d1) 0.7054
N(d2) 14.3089
Value of Call Maximum £ 13.91

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The above table provides information regarding the Black Scholes model, which is
used for detecting the value of the call option presented to the employees. The calculation has
used the time required for an employee in a call option, which is 3 years in minimum and
maximum time 10 years. The employee cannot exercise the call option during the vesting
period, as it will result in a loss, which indicates that a minimum investment period will be 3
years. Moreover, the maximum time allotted to the options is 10 years, as it is the expiration
date of the option (Sturm et al. 2017). This evaluation has helped in detecting the maximum
and minimum value of the call options presented to the employees. Thus, after using the
Black Scholes model the maximum value of call is detected as £ 13.91 and minimum value of
call is at £ 2.13.
Part 2: Discussing the pros and cons of hedging airline fuel costs by the airline
companies
Airline company managers rely on derivatives, options and swaps for limiting down
the risk involved in fuel cost and minimise the expenses involved in operations. The manager
has been using the hedging measure for accurately curbing the risk from volatile oil prices,
which changes due to the fluctuations in production and demand. Fuel cost is considered a
major expense for airline companies, as it is needed for running the airbus. Thus, hedging the
volatile cost of fuel is essential for the Airline companies, as it reduces the risk of increasing
the fuel cost, which is required to increase their operations. The hedging of oil prices locks
and stabilise the fuel cost of airline companies, as other costs related to operations are less
volatile. Therefore, manager use the hedging process to increase stability in cost and raise
stability in profits (Korkeamaki, Liljeblom and Pfister 2016). Airline companies mainly
hedge 2/3 of their expected fuel costs, which will be conducted within 6 months to 1 year.

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There are simply relevant pros and cons of hedging airline fuel cost by the airline companies,
which are depicted as follows.
Advantages of hedging airline fuel cost:
Reduction in cost:
The major benefit that will be generated from the hedging process used by Airline
companies is the reduction in cost levels. The oil prices are considered to be volatile in
nature, which relevantly changes over the period of time. Thus, the use of hedging process
can help in minimising the cost involved in fuel expenses. This reduction in the cost will
allow the Airline companies to minimise the expenses incurred in operations. Corley and
Advisors (2016) stated that hedging process allows the airline companies to mitigate the risk
that is projected from the fluctuating oil prices, which in turn reduces the total expenses
incurred by the company. However, without the hedging process the fluctuating price of oil
can increase the total expenses of the airline companies and reduce the total income that can
be generated from operations. The managers use hedging process such as forward contract,
future contract, swaps and collars for adequately reducing the risk involved in fuel cost.
Maximisation of profits:
The use of hedging process also allows the airline companies to maximise the profit
level and maintain adequate revenue from operations. The adoption of the hedging process
can benefit the airline companies immensely, as they would reduce the risk from volatile oil
prices and fixed the actual cost of fuel needed in the operations. Thus, it is essential for the
managers to use hedging process, as it fixes the cost of fuel and maximises the probability of
achieving higher profits from operations. The hedging process needs adequate anticipation of
oil prices in future, which can help in generating high level of income from operations. Thus,

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managers to maximise the profit level of airline companies use hedging process such as
forward contract, future contract, swaps and collars to reduce the actual cost and fix the total
expense of fuel. Turner and Lim (2015) indicated that hedging process also reduces the
benefit that can be generated from positive price movements.
Reducing the volatility in oil prices:
The hedging process is an adequate measure that is used by the airline companies for
adequately minimising the volatility in oil prices, which is a constant event in the oil market.
Oil prices having been fluctuating due to the contract shift in demand and production output.
This constant change in pricing of oil alternates the cost of fuel that is used by the airline
companies. Hence, the use of hedging instruments helps in minimising the volatility that is
present in oil prices, while fixing the actual price of oil. Airline companies use future
contracts for delivery of the oil at specific price regardless the fluctuations that occur and
change the oil prices. The airline companies are provided certainty regarding the cost of fuel
that is incurred to maintain the adequate level of productivity (Dafir and Gajjala 2016). Thus,
airline companies can reduce the price volatility of oil, which helps in maximising the profits
and minimising the cost involved in operations.
Disadvantages of hedging airline fuel cost:
Downside of hedging:
The major disadvantage of hedging airline fuel cost is when the prices are favouring
the company. The reducing value of oil prices would eventually increase the benefits that is
projected to the airline company. For example, during the period of 2014 to 2015 the oil
prices in the market reduced sharply, where the airline companies that hedged against the
volatility did not get the benefits of the reduced prices. This directly indicates that within

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active hedging airline companies cannot benefit when the prices are moving at a favourable
point. This can be considered a major downside of hedging, as it fixes the fuel cost and
restricts the organisation to benefit from the favourable price action (Hu, Xiao and Jiang
2018).
Cost of hedges:
The second major drawback of hedging is the cost of hedges, which is considered to
be high, as banks providing the services of hedge needs premiums from the relevant traders
and airline companies. Thus, the high cost incurred by using the hedging process also raises
the cost of production, which in turn reduces the level of income that is generated from
operations. There are specific times when the prices of oil do not fluctuate and benefit the
airline companies. In these instances, the cost of hedge raises the total expenses of the airline
companies and is considered to be a major limitation to the organisation. The use of hedging
contract requires additional cost, which needs to be borne by the airline companies regardless
of the benefits that can be generated from operations (Fukui and Miyoshi 2017).
Speculations:
The hedging instruments such as forward contract, future contract, swaps and collars
can be used by investors for conducting relevant speculation investment strategy. The airline
companies use the hedging measure on the basis of their expected expenses that will be
incurred in near future. However, no delivery of the actual oil is conducted by the airline
companies, which is relevant considered as speculation trading. There are many investors
who use the speculative strategy for increasing their income from the trades. However, due to
the absence of the underlying product the risk can be more severe, which can hamper the
investment capital of the investors (Miyoshi and Fukui 2018). Thus, airline companies who
use speculative hedging process will have high risk involved with their hedging exposure.

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Lack of appropriate research:
The fourth major limitation of hedging process is the lack of appropriate research by
the airline companies. The low level of research on the fluctuations of the oil can be
conducted by the airline companies, which will directly result in higher cost of fuel. The
airline companies need adequate research to anticipate the future price action of oil, as
without the information the wrong hedging strategy could increase losses and also raise the
cost of fuel incurred by the organisation. One of the major failures in hedging process was
recorded by Delta Airlines, where the CEO admitted about the loss of $4 billion in oil hedges
that was incurred by the organisation (Forbes.com 2019). The high level of losses incurred by
Delta Airlines was from the wrong anticipation of the oil price movement and hedge strategy.
Thus, it can be estimated that the lack of appropriate knowledge and research can lead to
major loss for the airline company, while increasing the risk involved in operations.

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References and Bibliography:
Bayram, M., Orucova Buyukoz, G. and Partal, T., 2018. Parameter Estimation in a Black-
Scholes Model. Thermal Science, 22(1), pp.S117-S122.
Corley, M. and Advisors, M.E., 2016. Airline fuel hedging in 2016 & beyond. Airline
Economics Growth Frontiers, Dubai.
Dafir, S.M. and Gajjala, V.N., 2016. Fuel Hedging and Risk Management: Strategies for
Airlines, Shippers and Other Consumers. John Wiley & Sons.
Forbes.com. 2019. Forbes. [online] Available at: https://www.forbes.com/ [Accessed 26 Mar.
2019].
Fukui, H. and Miyoshi, C., 2017. The impact of aviation fuel tax on fuel consumption and
carbon emissions: The case of the US airline industry. Transportation Research Part D:
Transport and Environment, 50, pp.234-253.
Hu, R., Xiao, Y.B. and Jiang, C., 2018. Jet fuel hedging, operational fuel efficiency
improvement and carbon tax. Transportation Research Part B: Methodological, 116, pp.103-
123.
Korkeamäki, T., Liljeblom, E. and Pfister, M., 2016. Airline fuel hedging and management
ownership. The Journal of Risk Finance, 17(5), pp.492-509.
Lim, S.H. and Turner, P.A., 2016. Airline Fuel Hedging: Do Hedge Horizon and Contract
Maturity Matter?. In Journal of the Transportation Research Forum (Vol. 55, No. 1424-
2017-1739).

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Miyoshi, C. and Fukui, H., 2018. Measuring the rebound effects in air transport: The impact
of jet fuel prices and air carriers’ fuel efficiency improvement of the European
airlines. Transportation Research Part A: Policy and Practice, 112, pp.71-84.
Shokrollahi, F. and Sottinen, T., 2017. Hedging in fractional Black–Scholes model with
transaction costs. Statistics & Probability Letters, 130, pp.85-91.
Sibdari, S., Mohammadian, I. and Pyke, D.F., 2018. On the impact of jet fuel cost on airlines’
capacity choice: Evidence from the US domestic markets. Transportation Research Part E:
Logistics and Transportation Review, 111, pp.1-17.
Sturm, M., Goldstein, M.A., Huntington, H. and Douglas, T.A., 2017. Using an option
pricing approach to evaluate strategic decisions in a rapidly changing climate: Black–Scholes
and climate change. Climatic Change, 140(3-4), pp.437-449.
Turner, P.A. and Lim, S.H., 2015. Hedging jet fuel price risk: The case of US passenger
airlines. Journal of Air Transport Management, 44, pp.54-64.
Zhang, H., Liu, F., Turner, I. and Yang, Q., 2016. Numerical solution of the time fractional
Black–Scholes model governing European options. Computers & Mathematics with
Applications, 71(9), pp.1772-1783.