Harward University Assess the Present Value of Future Cash Flows Questions

Description

 
• Assess the present value of future cash flows and the future value of regular savings, annually and periodically.
• Understand the Perpetuity and 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.

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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 Perpetuity and 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.
Submission file format: Word document with all the answers, clearly identifying all
steps, results, and including comments besides each answer.
Task (100 points)
The Andreotti family—comprising Mr. Andreotti, aged 40, Mrs. Andreotti, aged 38, and
their three young children— relocated to Barcelona in 2020 when Mr. Andreotti received a
job offer from a leading investment banking giant. For the next six years, they rented a
three-bedroom condominium for 2.000€ in Barcelona per month, which included parking
and condominium fees.
While renting made life easy, the Andreotti family began weighing the pros and cons of
purchasing a flat, in the same building, that became available in June 2020. In the past
three years, the real estate market had softened somewhat, and the cost of the flats were
stable. The idea of home ownership as a form of pension investment appealed to the
couple. The monthly rents could be used for mortgage payments instead.
While searching for the right property they found a nice apartment with 200 square meters,
very close to Diagonal-Numancia, one of the best locations of the city.
The apartment was owned and been promoted by a state-owned construction company
and was offering to type of alternatives:
Option A: renting the apartment with a perpetual contract, meaning for ever and ever. The
Andreotti family thought that could be a good solution for them.
The family was very happy living in that area, and they had the chance to live there forever
at an offered price of 1.600€ per month. The contract contained a clause stating that the
rent price will be growing at a 0.1% monthly.
At the same time, they were not forced to ask for a loan, which represented a heavy
weight in Mr. Andreotti´s shoulders.
Option B: consisted in acquiring the property with a mortgage scheme for 40 years. The
ownership was demanding an initial down payment of 1.000.000€. The total price of the
apartment was still not clear, it seems there was some space for negotiation.
Mr. Andreotti new that the interest applicable rates were very attractive, around 2.4%
compounded monthly, this is supposed to be the market rate for this type of activities.
Mr. Andreotti is fixing the maximum amount he can pay monthly in 2.000€.
1) What is the maximum amount that Mr. Andreotti should pay? Show the calculations and
explain why. (15 points)
2) What is the total amount that Mr. Andreotti will pay in total after 40 years? (15 points)
3) What is the present value of the rental contract offered by the owner as option A? (15
points)
4) Mr. Andreotti believes that he might be interested in selling the apartment in 40 years’
time, this is when he is planning to retire.
If the interest rates remain at the existing level, what will be the price of the apartment in
that moment? (15 points)
5) Mr. Andreotti is very happy for knowing how to calculate future values and present
values, because this helps him in taking this type of decisions. Having said that he
wonders what the future value of the rental contract could be. Can you help him? Explain
your answer and show your calculations. (10 points)
6) We are still thinking that the price of the apartment is very expensive, we believe we
could convince the bank of making payments only once a year, at the end of the year. The
interest rate would still be the same 2.4%, how much money have we saved with this
action?
a) In the payments for each year? b) in the total amount paid for the whole period? c) what
is the present value of the savings?
(15 points)
7)There is a risk according to Mr. Andreotti that the interests may rise after the first 5
years. If this is the case, and the new interest rate is 5%, just after the first 5 years, how
much will then be the monthly payments for the remaining 35 years of mortgage? (Hint the
total initial value of the loan is depends of the offered purchase price in point 2). Explain
your answer and show your calculations. (15 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

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Tags:
cash flows

savings

technical skills

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