BCO126 Mathematics of Finance Task brief & rubrics Task: Assignment 2 (15% of the Final grade) You are asked to answer all the questions in the proposed case. This task assesses the following learning outcomes: • Assess the present value of future cash flows and the future value of regular savings, annually and periodically. • Understand the annuity valuation and their factors – annual and periodical – and with various starting dates with and without growth. • Demonstrate an ability to apply the technical skills in a practical context. LAUNCH: WEEK 10 / DELIVERY: APRIL 24th, 2020, 23:59HRS ON MOODLE Submission file format: Word document with all the answers, clearly identifying all steps, results, and including comments besides each answer. Task (100 points) You decided to quit eating junk food today. Now that you are going to save 325 €/month, you decided to save those 325€ per month in a bank account that offers a 5% interest rate compounded monthly, till the day you retire (that is to say, in 30 years). Please answer the following questions: 1. If you do your deposits at the end of every month (so your first deposit will be in one month from today) in a bank account that offers a 5% interest rate compounded monthly, and you continue doing so till the day you retire (that is to say, in 30 years): a) Draw the timeline (at least the first five periods) with its corresponding numeration of periods and cashflows in their corresponding points (10 points) b) How many cashflows will be there? (10 points) c) how much money will you have at the end? Show the workout (10 points) 2. If you decide to do your deposits at the beginning of every month (so your first deposit will be done today) in a bank account that offers a 5% interest rate compounded monthly, and you continue doing so till the day you retire (that is to say, in 30 years): a) Draw the timeline (at least the first five periods) with its corresponding numeration of periods and cashflows in their corresponding points (10 points) b) What is the difference between this case and the previous one? (10 points) c) According to your opinion, what is it better? To bring the amounts to the bank at the beginning of every month (as described in this ex.) or at the end of every month (as described in the previous ex.)? Explain the reason (10 points) d) How much money will you have at the end? Show the workout (10 points) 3. If you decide to do your deposits at the end of every month (similarly to ex.1, so your first deposit will be in one month from today) in a bank account that offers a 5% interest rate compounded monthly, and the deposits will increase in a 0.25% month after month, and you keep on doing so for the next 30 years: a) Draw the timeline (at least the first five periods) with its corresponding numeration of periods and cashflows in their corresponding points (10 points) b) how much money will you have at the end? Show the workout (10 points) c) What would it happen if the growth rate and the interest rate is the same? (10 points) Rubrics 100 Points Descriptor 40% The student demonstrates understands the concepts and uses the right approach with the right formulas 10% The student explains the calculations, and which is the theory behind 35% The student applies the right numbers in the formulas 10% The student finds the right answer 5% The student shows an accurate presentation Points are at the end of each question.
Please carefully read the following case study:
Case Study: Jessica is a 15-year female and a sophomore at the local high school. Jessica has a very demanding life. She is the oldest of five children. Her parents divorced three years ago so her mother had to pick up a second job to make ends meet. As a result, Jessica is responsible for the care of her younger siblings from the time school gets out until her mother comes home from work around 9:00 p.m. Jessica is very intelligent and is currently enrolled in five advanced placement (AP) courses. Jessica has always been a high achiever. She has very high standards for herself and can be very self-critical when she fails to meet them. Lately, she has struggled with significant feelings of worthlessness and shame due to her inability to balance life responsibilities.
For the past several weeks Jessica has felt unusually fatigued and found it increasingly difficult to concentrate at school. Her close friends have noticed that she is often irritable and withdrawn, which is quite different from her typically upbeat and friendly disposition. She has missed school due to illness on several occasions, which is completely unlike her. On those days she stays in bed all day, watching TV or sleeping.
At home, Jessica’s mother has noticed changes as well. She has shown little interest in family activities and whenever possible, she isolates herself in her room. Jessica has had difficulties falling asleep at night. Her insomnia has been keeping her awake as she tosses and turns for an hour or two after going to bed. When her mother tries to get her to open up about what is bothering her, she pushes him away with an abrupt “everything’s fine”.
Jessica has found herself increasingly dissatisfied with her life. She has been having frequent thoughts of wishing she was dead. She gets frustrated with herself because she feels like she has every reason to be happy, yet cannot seem to shake the sense of doom and gloom that has been clouding each day as of late
Now, based on your reading this week and the research you have done regarding crisis intervention, answer the following prompts (Make sure to use first person responses using quotation marks):
1. Construct one normalizing response to Jessica.
2. Construct one calming and caring response to Jessica.
4. Construct one safety response to Jessica
5. Construct one action response to Jessica.
6. Construct one debriefing response to Jessica
7. In 2-3 paragraphs identify and discuss vicarious trauma, burnout, and self-care as it relates to working with clients who are in crisis situations
In order to adequately complete this discussion assignment, you must answer all seven prompts thoroughly and MUST cite one peer-reviewed journal article when responding to prompt #7.