Submitted:
22 May 2024
Posted:
24 May 2024
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Artificial Intelligence Techniques and Related Studies in Finance
2.1. AI Applications and Studies
2.2. Studies of ChatGPT on Finance
3. Empirical Design
3.1. AI Chatbots in the Finance Domain
3.2. Rationale of AI in Financial Analysis
3.3. Financial Reasoning in a Nutshell
3.4. Tasks/Prompt
3.4.1. Multi-Step Reasoning Tasks
3.4.2. Complex Reasoning Tasks
3.4.3. Evaluation Metrics
4. Empirical Results and Findings
4.1. Data Collection/Retrieval
4.2. Multi-Step Reasoning Tasks Results and Findings
4.3. Complex Reasoning Tasks Results and Findings
4.4. Other Observations
5. Conclusion
Appendix 1: Multi-Step Reasoning Tasks/Prompt
- Suppose you deposit $1,000 in a savings account that pays 10% interest, compounded quarterly. How much will be in that account after 10 years if there is no withdrawal?
- Sammy deposits $1,000 now, $1,500 in one more year, then $2,000 in two years and $2,500 in three years in a savings account that pays 10% interest per annum. How much does Sammy have in the account at the end of the third year?
- You will deposit $1,500 in one year’s time from now, $2,000 in two years’ time and $2,500 in three years’ time, in an account paying 10 per cent interest per annum. What is the present value of these cash flows?
- You are purchasing a home and are scheduled to make 30 annual instalments of $10,000 per year. Given an interest rate of 5%, what is the price you are paying for your house?
- The superannuation guarantee rate in the industry is 9.5% in Australia. If your annual income is $100,000, you will have $9,500 every year for the next 30 years till your retirement (ignore the growth of income here). Given a 10% rate of interest, how much will you have saved by the time you retire?
- Suppose you are valuing an investment that promises $100 per year at the end of this and the next four years. If the annual interest rate is 10%, calculate the value of this investment.
- You wish to invest financial security with a face value of $500,000, a term to maturity of 180 days and a yield of 8.75% per annum. How much will it cost you today to buy?
-
As a winner of a dragon boat competition, you can choose one of the following prizes:
- $100,000 now.
- $180,000 at the end of five years.
- $11,400 a year forever.
- D. $19,000 for each of 10 years.
- $6.500 next year and increasing thereafter by 5% a year forever.
Assume the interest rate is 12%, what is your choice? - Google Inc. became a public company when it conducted an IPO of ordinary shares in August 2004. Originally priced at $85 per share. By August 2018, Google shares stood at $1,084. What annual rate of return did the investors who bought Google shares at the IPO and held them until August 2018 earn?
- It is 30 June; ABC company has a commercial bill which has a current interest rate yield of 6.08 per cent per annum. The existing bills mature on 31 August 2015 but will be replaced by a further issue at that date. What is the effective annual interest rate on the bill?
- What is the WACC for a firm with $30 million in outstanding debt with a required return of 8%, 8 million in equity shares outstanding trading at $15 each with a required return of 12%, and a tax rate of 35%?
- Consider an investment that costs $800 and has cash flows of 300, 200, 150, 122, and 133 in years 1-5. Calculate the internal rate of return.
- ABC Corporation has a stock price of $50. The firm has just paid a dividend of $3 per share, and shareholders think that this dividend will grow by a rate of 5% per year. Use the Gordon dividend model to calculate the cost of equity of ABC.
- ABC Corporation has just paid a dividend of $3 per share. You, an experienced analyst, feel quite sure that the growth rate of the company’s dividends over the next ten years will be 15% per year. After ten years you think that the company’s dividend growth rate will slow to the industry average, which is about 5% per year. If the cost of equity for ABC is 12%, what is the value today of one share of the company?
- Your firm ABC is considering acquiring a business. Calculate its value using the following information: Firm ABC’s WACC is 12.5%, and the cash flows of the business are $1 million for years 1-4. The business is expected to grow at a rate of 5% after the fourth year.
- The current level of the S&P 500 is 3,000. The dividend yield on the S&P 500 is 2%. The risk-free interest rate is 1%. What should be the price of a one-year maturity futures contract?
- A stock selling for $25 today will, in one year, be worth either $35 or $20. If the interest rate is 8%, what is the value today of a one-year call option on the stock with an exercise price $30? Use the simultaneous equation approach to price the option.
- Use the Black-Scholes model to price a call option on a stock whose current price is 50, with an exercise price of 50, an interest rate of 10%, maturity of 0.5-year, and a standard deviation of 25%.
- You are analysing Woolworth’s potential acquisition of Billabong. Suppose Woolworths plans to offer $450 million as the purchase price for Billabong, and it will need to issue additional debt and equity to finance the acquisition. You estimate that the issuance costs will be $15 million and will be paid as soon as the transaction closes. You estimate the incremental free cash flows from the acquisition will be $29 million in the first year and will grow at 4% per year thereafter. What is the NPV of the proposed acquisition? You may access the other information from the file uploaded.
- The spreadsheet uploaded is the five-year monthly prices for Intel Corporation and the S&P 500. Calculate Intel's beta.
-
ABC Corporation has issued 1 million fully paid ordinary shares. The after-tax profits for ABC are $500,000. Earnings per share are 50 cents ($500,000/1m=50 cents). ABC’s shares are currently selling at a price-earnings multiple of 10. The financial manager of ABC is planning a 1-for-5 bonus issue. Answer the following questions.
- What is the current share price?
- How many new shares will be issued under the 1-for-5 bonus scheme?
- What are the new earnings per share after the bonus issue?
- What is the market price after the bonus issue if the price-earnings multiple remains at 10?
- After the bonus issue, what is the total value of the investor’s holdings? Assume this investor previously had 10 shares.
-
You looked at the newspaper quotes for options on ABC share, you saw that a March call option with a strike price of 37.5 is priced at 6.375, whereas the May call option with the same exercise price is priced at 6.
- Can you devise an arbitrage out of these prices?
- Do you have an explanation for the newspaper quotes?
-
An American call option is written on a stock whose price today is $60. The exercise price of the call is $45.
- if the call price is 2, explain how you would use arbitrage to make an immediate profit.
- if the option is exercisable at time T=1 year and if the interest rate is 10%, what is the minimum price of the option? Use proposition a.
-
A one-year gold futures contract is selling for $1,558. Spot gold prices are $1,500 and the one-year risk-free rate is 4%.
- According to spot-futures parity, what should be the futures price?
- What risk-free strategy can investors use to take advantage of the futures mispricing, and what will be the profits on the strategy?
- Based on the monthly TV Ads released and the revenues recorded over the past one-year period, forecast next year’s revenue. And if there are 100 Ads put on next month, what is next month’s revenue? You may access the data through the file uploaded.
-
Suppose a fund manager has a portfolio that consists of a single asset. The return of the asset is normally distributed with a mean return of 20% and a standard deviation of 30%. The value of the portfolio today is $100 million.
- What is the distribution of the end-of-year portfolio value?
- What is the probability of a loss of more than $20 million by year-end? For example, what is the probability that the end-of-year value is less than $80 million?
- With 1% probability what is the maximum loss at the end of the year?
-
Your company is considering either purchasing or leasing an asset that costs $1,000,000. The asset, if purchased, will be depreciated on a straight-line basis over six years to a zero residual value. A leasing company is willing to lease the asset for $300,000 per year; the first payment on the lease is due at the time the lease is undertaken (i.e., year 0), and the remaining five payments are due at the beginning of years 1-5. Your company has a tax rate of 40% and can borrow at 10% from its bank.
- Should your company lease or purchase the asset?
- What is the maximum lease payment it will agree to pay?
- A one-year, $100,000 loan carries a coupon rate and a market interest rate of 12%. The loan requires payment of accrued interest and one-half of the principal at the end of six months. The remaining principal and accrued interest are due at the end of the year. What is the duration of this loan?
-
On January 23, 1999, the market price of a Bond was $1,122.32. The bond pays $59 in interest on March 1 and September 1 of each of the years 1999-2005. On September 1, 2005, the bond was redeemed at its face value of $1,000.
- Calculate the yield to maturity of the bond.
- Calculate its duration.
- An investment fund owns the following portfolio of three fixed-rate government bonds: You may access the data from the file uploaded.
- Calculate the average (annual) modified duration for the portfolio using the shares of market value as the weights.
- Estimate the percentage loss in the portfolio’s market value if the annual yield to maturity on each bond goes up by 20 bps.
- 31.
- BHP in Australia is still generating good profits. But growth is slowing down. Based on BHP’s previous 10-year dividend payout history, help the CFO decide how to start up a program of paying out cash to stockholders. Access the data from the file uploaded.
- 32.
-
A few years after being appointed financial manager at Sedona Fabricators, Inc., you are asked by your boss to prepare for your first presentation to the Board of Directors. This presentation will pertain to issues associated with capital structure. It is intended to ensure that some of the newly appointed, independent board members understand certain terminology and issues. As a guideline for your presentation, you are provided with the following outline of questions.
- What is capital structure?
- What is financial leverage?
- How does financial leverage relate to company risk and expected returns?
- Modigliani and Miller demonstrated that capital structure policy is irrelevant. What is the basis for their argument? What are their Propositions I and II?
- How does the introduction of corporate taxes affect the M&M model?
- How do the costs of insolvency and financial distress affect the M&M model?
- What are agency costs? How can the use of debt reduce agency costs associated with equity?
Appendix 2: Complex Reasoning Tasks/Prompt
-
Using the historical price data for the 10 stocks named: CHN, VUL, FCL, SXG, LTR, NEU, WTC, ALL, NXT, and PME in the attached file, please conduct technical analyses using the following indicators: Bollinger Bands, Relative Strength Index (RSI), and Moving Average Convergence Divergence (MACD).
- Please draw technical charts and indicators for each stock.
- Assume today is the 15th of May 2024, what is your overall recommendation on each stock based on the charts and indicators?
- Please summarise the recommendations in a table with the explanation provided.
-
Using the historical price data for the 10 stocks named: CHN, VUL, FCL, SXG, LTR, NEU, WTC, ALL, NXT, and PME in the attached file, please first sort the date from the earliest to the latest date and then perform the following analyses. Please save the return data in the same excel file:
- Please calculate daily return and then present summary statistics for each stock in a table such as Mean Return, Standard Deviation, Max, Min, Median, Skewness and Kurtosis in a table. Then discuss whether the returns of each stock follow normal distribution based on summary statistics.
- Please display correlation matrix based on the returns for the 10 stocks and indicate whether it is significant at 1%, 5% and 10% levels using ***, **, * respectively. Please discuss the results and significance of the correlations between different pairs of stocks.
- Based on the average returns, standard deviations and correlation matrix for the 10 stocks, please construct a global minimum variance portfolio. What criterion have you considered when creating the global minimum variance portfolio? Assume the risk-free rate is 0.017% and there is no short selling in any stock, hence all weights should lie between 0 and 1. Please calculate and explain the weights of stocks in the global minimum variance portfolio? Based on the weights you have calculated, what is the global minimum variance portfolio return and standard deviation?
- Based on the average returns, standard deviations and correlation matrix for the 10 stocks, please construct an optimal risky portfolio. What criterion have you considered when creating the optimal risky portfolio? Assume the risk-free rate is 0.017% and there is no short selling in any stock, hence all weights should lie between 0 and 1. Please calculate and explain the optimal weights of stocks in the optimal risky portfolio? Based on the weights you have calculated, what is the optimal risky portfolio return and standard deviation?
- Please create an efficient frontier for the combinations of these 10 stocks and also indicate the global minimum variance and optimal risky portfolios on the graph.
- Aus Car Execs (ACE) is set up as a sole trader and is analysing whether to enter the discount used rental car market. This project would involve the purchase of 100 used, late-model, mid-sized automobiles at the price of $9,500 each. In order to reduce their insurance costs, ACE will have a LoJack Stolen Vehicle Recovery System installed in each automobile at a cost of $1,000 per vehicle. ACE will also utilise one of their abandoned lots to store the vehicles. If ACE does not undertake this project, they could sublease this lot to an auto repair company for $80,000 per year. The $20,000 annual maintenance cost on this lot will be paid by ACE whether the lot is subleased or used for this project. In addition, if this project is undertaken, net working capital will increase by $50,000.
- 4.
-
John is reviewing ABC’s financial statements to estimate its sustainable growth rate. Using the information presented in the Table uploaded, can you please first convert this into an excel template (save it as a separately file) and: (measurement: $ million, except per-share data).
- Identify and calculate the components of the DuPont formula.
- Calculate the ROE (Return on Equity) for 2022 using the components of the DuPont formula.
- Calculate the sustainable growth rate for 2022 from the firm’s ROE and plowback ratio. (Bodie et al., 2022, p.468)
- 5.
- Jennifer is a recently hired analyst. After describing the electric toothbrush industry, her first report focuses on two companies, WhiteBrush company and ProtectBrush company, and concludes:
- a)
-
Criticize Jennifer’s analysis and conclusion that WhiteBrush is more profitable, as defined by return on equity (ROE), than ProtectBrush and that it has a higher sustainable growth rate. Use only the information provided in Table WhiteBrush and Table ProtectBrush. Support your criticism by calculating and analysing:
- The five components that determine ROE.
- The two ratios that determine sustainable growth: ROE and plowback.
- b)
- Explain how WhiteBrush has produced an average annual earnings per share (EPS) growth rate of 40% over the last two years with an ROE that has been declining. Use only the information provided in Table WhiteBrush. (Bodie et al., 2022, p.468)
- 6.
- The Australian dollar is currently worth USD 0.6100 and this exchange rate has a volatility of 12%. The Australian risk-free rate is 7% and the U.S. risk-free rate is 5%. Use a three-step binomial tree to value a 3-month American call option with a strike price of USD 0.6000. Please draw a tree diagram and show the value of currency and value of option at each node in the diagram, and also indicate whether early exercise is optimal (in red colour). Assume U.S. is domestic country and Australia is foreign country (Hull, 2015, Example 13.2, p.314).
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| Task Number | Tasks | Task understanding | Task deconstruction | Calculation ideas and formulas | Accuracy | Critical Thinking/application of knowledge |
|---|---|---|---|---|---|---|
| 1 | Future value | advanced | advanced | advanced | Yes | Functional |
| 2 | Future value with uneven cash flows | advanced | advanced | advanced | Yes | Functional |
| 3 | Present value with uneven cash flows | advanced | advanced | advanced | Yes | Functional |
| 4 | Installments/mortgage/annuity calculation | advanced | advanced | advanced | Yes | Functional |
| 5 | Future value of annuity | advanced | advanced | advanced | Yes | Functional |
| 6 | Investment accumulation | advanced | advanced | advanced | Yes | Functional |
| 7 | Present value of financial security | advanced | advanced | advanced | Yes | Functional |
| 8 | Present value decision-making | advanced | advanced | advanced | Yes | Functional |
| 9 | Investment yield | advanced | advanced | advanced | No | Functional |
| 10 | Effective annual interest rate | advanced | advanced | advanced | Yes | Functional |
| 11 | Weighted Average Cost of Capital | advanced | advanced | advanced | Yes | Functional |
| 12 | Internal rate of return | advanced | advanced | advanced | No | Functional |
| 13 | Cost of equity | advanced | advanced | advanced | Yes | Functional |
| 14 | Share valuation | advanced | advanced | advanced | Yes | Functional |
| 15 | Simple business valuation | advanced | advanced | advanced | Yes | Functional |
| 16 | Cost of carry futures model | advanced | advanced | advanced | Yes | Functional |
| 17 | Simultaneous equation option pricing model | advanced | advanced | advanced | Yes | Functional |
| 18 | Black-Scholes option pricing model | advanced | advanced | advanced | Yes | Functional |
| 19 | Simple business valuation in M&A | advanced | advanced | advanced | No | Functional |
| 20 | Beta calculation | advanced | advanced | advanced | Yes | Functional |
| 21 | Bonus issue | advanced | advanced | advanced | Yes | Functional |
| 22 | Option mispricing and arbitrage | advanced | advanced | advanced | Yes | Functional |
| 23 | Option arbitrage | advanced | advanced | advanced | Yes | Functional |
| 24 | Futures mispricing and arbitrage | advanced | advanced | advanced | Yes | Functional |
| 25 | Simple regression forecasting | advanced | advanced | advanced | Yes | Functional |
| 26 | Value at risk (risk management) | advanced | advanced | advanced | Yes | Functional |
| 27 | Lease or purchase | advanced | advanced | advanced | Yes | Functional |
| 28 | Duration | advanced | advanced | advanced | Yes | Functional |
| 29 | Yield to maturity and duration | advanced | advanced | advanced | Yes | Functional |
| 30 | Fixed-income risk and return | advanced | advanced | advanced | Yes | Functional |
| 31 | Dividend payout suggestions | advanced | advanced | N/A | N/A | Functional |
| 32 | Capital structure | advanced | advanced | N/A | N/A | Functional |

| Task Number | Tasks | Task understanding | Task deconstruction | Calculation ideas and formulas | Accuracy | Critical Thinking/application of knowledge |
|---|---|---|---|---|---|---|
| 1 | Future value | advanced | advanced | advanced | Yes | Functional |
| 2 | Future value with uneven cash flows | advanced | advanced | advanced | Yes | Functional |
| 3 | Present value with uneven cash flows | advanced | advanced | advanced | Yes | Functional |
| 4 | Installments/mortgage/annuity calculation | advanced | advanced | advanced | Yes | Functional |
| 5 | Future value of annuity | advanced | advanced | advanced | Yes | Functional |
| 6 | Investment accumulation | advanced | advanced | advanced | Yes | Functional |
| 7 | Present value of financial security | advanced | advanced | advanced | Yes | Functional |
| 8 | Present value decision-making | advanced | advanced | advanced | Yes | Functional |
| 9 | Investment yield | advanced | advanced | advanced | No | Functional |
| 10 | Effective annual interest rate | advanced | advanced | advanced | Yes | Functional |
| 11 | Weighted Average Cost of Capital | advanced | advanced | advanced | Yes | Functional |
| 12 | Internal rate of return | advanced | advanced | advanced | No | Functional |
| 13 | Cost of equity | advanced | advanced | advanced | Yes | Functional |
| 14 | Share valuation | advanced | advanced | advanced | Yes | Functional |
| 15 | Simple business valuation | advanced | advanced | advanced | Yes | Functional |
| 16 | Cost of carry futures model | advanced | advanced | advanced | Yes | Functional |
| 17 | Simultaneous equation option pricing model | advanced | advanced | advanced | Yes | Functional |
| 18 | Black-Scholes option pricing model | advanced | advanced | advanced | Yes | Functional |
| 19 | Simple business valuation in M&A | advanced | advanced | advanced | No | Functional |
| 20 | Beta calculation | advanced | advanced | advanced | Yes | Functional |
| 21 | Bonus issue | advanced | advanced | advanced | Yes | Functional |
| 22 | Option mispricing and arbitrage | advanced | advanced | advanced | Yes | Functional |
| 23 | Option arbitrage | advanced | advanced | advanced | Yes | Functional |
| 24 | Futures mispricing and arbitrage | advanced | advanced | advanced | Yes | Functional |
| 25 | Simple regression forecasting | advanced | advanced | advanced | Yes | Functional |
| 26 | Value at risk (risk management) | advanced | advanced | advanced | Yes | Functional |
| 27 | Lease or purchase | advanced | advanced | advanced | Yes | Functional |
| 28 | Duration | advanced | advanced | advanced | Yes | Functional |
| 29 | Yield to maturity and duration | advanced | advanced | advanced | Yes | Functional |
| 30 | Fixed-income risk and return | advanced | advanced | advanced | Yes | Functional |
| 31 | Dividend payout suggestions | advanced | advanced | N/A | N/A | Functional |
| 32 | Capital structure | advanced | advanced | N/A | N/A | Functional |











| Task Number | Tasks | Task understanding | Task deconstruction | Calculation ideas and formulas | Accuracy | Critical Thinking/application of knowledge |
|---|---|---|---|---|---|---|
| 1 | Future value | advanced | advanced | advanced | Yes | Functional |
| 2 | Future value with uneven cash flows | advanced | advanced | advanced | Yes | Functional |
| 3 | Present value with uneven cash flows | advanced | advanced | advanced | Yes | Functional |
| 4 | Installments/mortgage/annuity calculation | advanced | advanced | advanced | Yes | Functional |
| 5 | Future value of annuity | advanced | advanced | advanced | Yes | Functional |
| 6 | Investment accumulation | advanced | advanced | advanced | Yes | Functional |
| 7 | Present value of financial security | advanced | advanced | advanced | Yes | Functional |
| 8 | Present value decision-making | advanced | advanced | advanced | Yes | Functional |
| 9 | Investment yield | advanced | advanced | advanced | No | Functional |
| 10 | Effective annual interest rate | advanced | advanced | advanced | Yes | Functional |
| 11 | Weighted Average Cost of Capital | advanced | advanced | advanced | Yes | Functional |
| 12 | Internal rate of return | advanced | advanced | advanced | No | Functional |
| 13 | Cost of equity | advanced | advanced | advanced | Yes | Functional |
| 14 | Share valuation | advanced | advanced | advanced | Yes | Functional |
| 15 | Simple business valuation | advanced | advanced | advanced | Yes | Functional |
| 16 | Cost of carry futures model | advanced | advanced | advanced | Yes | Functional |
| 17 | Simultaneous equation option pricing model | advanced | advanced | advanced | Yes | Functional |
| 18 | Black-Scholes option pricing model | advanced | advanced | advanced | Yes | Functional |
| 19 | Simple business valuation in M&A | advanced | advanced | advanced | No | Functional |
| 20 | Beta calculation | advanced | advanced | advanced | Yes | Functional |
| 21 | Bonus issue | advanced | advanced | advanced | Yes | Functional |
| 22 | Option mispricing and arbitrage | advanced | advanced | advanced | Yes | Functional |
| 23 | Option arbitrage | advanced | advanced | advanced | Yes | Functional |
| 24 | Futures mispricing and arbitrage | advanced | advanced | advanced | Yes | Functional |
| 25 | Simple regression forecasting | advanced | advanced | advanced | Yes | Functional |
| 26 | Value at risk (risk management) | advanced | advanced | advanced | Yes | Functional |
| 27 | Lease or purchase | advanced | advanced | advanced | Yes | Functional |
| 28 | Duration | advanced | advanced | advanced | Yes | Functional |
| 29 | Yield to maturity and duration | advanced | advanced | advanced | Yes | Functional |
| 30 | Fixed-income risk and return | advanced | advanced | advanced | Yes | Functional |
| 31 | Dividend payout suggestions | advanced | advanced | N/A | N/A | Functional |
| 32 | Capital structure | advanced | advanced | N/A | N/A | Functional |
| Task Number | Tasks | Task understanding | Task deconstruction | Calculation ideas and formulas | Accuracy | Critical Thinking/level of critical thinking |
| 1.1 | Technical Analysis and Stock Recommendation (Bollinger Bands) | advanced | advanced | advanced | Yes | advanced |
| 1.2 | Technical Analysis and Stock Recommendation (MACD) | advanced | advanced | advanced | Yes | advanced |
| 1.3 | Technical Analysis and Stock Recommendation (RSI) | advanced | advanced | advanced | Partially accurate | advanced |
| Portfolio Construction | ||||||
| 2.1 | Stock summary statistics | advanced | advanced | advanced | Yes | advanced |
| 2.2 | Correlation matrix | advanced | advanced | advanced | Yes | advanced |
| 2.3 | Portfolio Construction - Global Minimum Variance | advanced | advanced | advanced | Partially accurate | advanced |
| 2.4 | Portfolio Construction - Optimal Risky Portfolio | advanced | advanced | advanced | Yes | advanced |
| 2.5 | Efficient Frontier | advanced | advanced | advanced | Yes | advanced |
| 3 | Capital Budgeting | intermediate | Basic | basic | No | naive |
| 4 | Financial Statement Analysis – Appendix 2 Q4 | advanced | advanced | intermediate | Partially accurate | moderate |
| 5 | Financial Statement Analysis – Appendix 2 Q5 | intermediate | Intermediate | intermediate | No | superficial |
| 6 | Option pricing- Binomial Tree | advanced | advanced | moderate | No | moderate |
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