GSP110 An Introduction to Financial Planning – Loans, Retirement & Risk

Question 1

Marcus is planning a home renovation that will cost $120,000. He intends to pay $40,000 in cash and requires an $80,000 loan to be repaid over 5 years (60 months).

a) Employ the correct tools to determine the Effective Interest Rate (EIR) for a personal line of credit that is advertised at a nominal rate of 6% per annum, calculated monthly rest.

b) Apply quantitative methodologies to determine the monthly instalments for the following two renovation loan options Marcus is considering:

i) Option 1: A simple interest loan at 3.8% p.a.

ii) Option 2: A compounded interest loan at 3.4% p.a. monthly rest.

c) Identify which financing plan is more cost-effective for Marcus and discuss the total  savings he would achieve over the 5-year loan tenure.                               

Question 2

Sandra’s Multi-Stage Retirement Strategy Sandra (age 45) has committed to retiring at age 65 and has projected a life expectancy to age 90. She has determined that she requires an annual retirement income of $60,000 in today’s dollars. To jump start the plan, she has $80,000 in existing seed capital.

Assumptions:

• Inflation Rate: 3.5% (Pre- and Post-retirement)
• Investment Return: 7% (Pre-retirement) and 5.5% (Post-retirement)
• Withdrawal Timing: All retirement income is withdrawn at the beginning of each period.

a) Apply quantitative methodologies to determine:

i) The Future Value (FV) of Sandra’s required $60,000 annual income when she turns

ii) The projected growth of her $80,000 seed capital by the time she reaches age 65, accounting for the pre-retirement Net Interest Rate.

b) Employ the correct tools and formulas to calculate:

i) The total lump sum Sandra must have on her retirement day (age 65) to fund her income stream until age 90, assuming the Present Value of an Annuity Due (PVAD).

ii) The regular annual contribution (PMT) Sandra must save (at the beginning of each year) over the next 20 years to bridge the gap between her target lump sum and her projected savings.

c) Present a brief summary to Sandra of her accumulated retirement funding goal. Your summary must provide a clear justification for the use of the Net Interest Rate and the Annuity Due timing used to execute her personal retirement plan.

Question 3

Excerpt War on Iran: The Hidden Costs The concern really is that even though our sources are diversified… global energy prices as a whole are increasing… diversification gives you supply but you are still paying a lot higher prices… petrol, electricity… food prices… I think what will change is our choice… we go for brand B… the buffers are in place for now to perhaps protect us… but we don’t know for how long.”

CNA. (2026, April 13). War on Iran: The hidden costs for Singapore – and best/worst case scenarios | Deep Dive [Video]. YouTube. https://www.youtube.com/watch?v=LRC0Vu0nql8

a) Discuss the fundamental differences between Pure Risk and Speculative Risk. Identify whether the “poly-crisis” (e.g., global oil price spikes and rising food costs) represents a pure or speculative risk for a Singaporean household.

b) Develop a comprehensive 4-step personal risk management strategy Determine Objectives, Gather Information, Analyse Information, and Develop the Plan to address the “hidden costs” mentioned in the excerpt above. Your strategy must recommend specific solutions for a family to protect their resources from being “prematurely consumed” by the current economic climate.

c) Present a justification for why a retiree must re-evaluate their Net Interest Rate and retirement plan maintenance in light of the “stagflation” concerns and “inelastic” food costs discussed in the Deep Dive. Explain how failing to “Review, Revise, and Maintain” could jeopardize their long-term survival.

Question 4

Excerpt from IPS Working Paper No. 55 Slightly under half of respondents believe credit cards allow them more access to different items, but similar proportions also believe credit cards induce them to buy more things or do so more impulsively. Additionally, 46.6 per cent say that they buy more things than they can afford with a credit card… the intention of this survey is to provide an understanding of the proportion of young Singaporeans who have come into debt.”

Source: Teo, K. K., Mathew, M., & Nah, S. (2024). Not Quite Impulsive Spenders: Key Findings from the IPS-CNA Survey on Financing Behaviours Among Younger Singaporeans. IPS Working Papers No. 55.

a) Identify the four fundamental approaches to handling risk. Provide one practical example of how a young adult could apply the Risk Reduction approach to mitigate the risk of impulsive overspending mentioned in the excerpt above.

b) Discuss the first three sequential steps of the Personal Risk Management Process Determine Objectives, Gather Relevant Information, and Analyse the Information. Explain how the Analyse step specifically helps an individual evaluate the financial consequences of credit card debt, regardless of the probability of falling into a debt trap.

c) Develop the fourth step of the Risk Management Process Develop the Plan by recommending a specific combination of two risk management techniques (e.g., Retention and Reduction) to help an impulsive spender manage their credit card obligations.

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Experts Answer on Above Questions on Financial Accounting

Effective interest rates

The effective interest rate at 6% per annum with monthly compounding amounts to 6.17% p.a.

Monthly instalments

For the monthly installment, the loan amount is $80000 and tenure is 60 months. At a simple interest loan @ 3.6% p.a, the monthly installment is $1586.67
For the compounded loan @ 3.4% p.a. Monthly, the total repayment is 145260-87120.
The most cost-effective option is option 2 because the total repayment in option 2 is $87120 and interest cost is $7120 which is way less than Option 1 as its total repayment is $95200 and interest cost is $15200.

Future value of retirement income

Inflation is 3.5% and years are 20. The required income at age 65 is approximately $119300 per year.
For the growth of seed capital, the net interest rate is i-3.38% and the future value is $155500.
For the retirement lump sum, the present value of annuity due is $2.43 million. The required fund is therefore $2.43 million.
For the annual savings needed, the funding Gap is 2430000-155500-2274500. The annual contribution with 20 years annuity due is $74000 per year.
It implies that Sandra needs around $2.43 million by age 65 and the net interest rate adjusts investment returns for inflation and thereby provides the real growth of money. The most appropriate method is annuity due method because retirement income is withdrawn at the beginning of each year.

Pure risk versus speculative risk

In pure risk, there is loss or no loss, but in a speculative risk, there is gain or loss. For example, fire, illness is pure risk and investment is speculative risk.
The poly-crisis in the given situation represents pure risk for households because higher food and energy prices reduce purchasing power and create financial losses.

Four step risk management strategy

The four step risk management strategies are determining objectives which includes maintaining household purchasing power and preserving emergency savings, gathering information like income and expenses, and utility and transportation cost. Thirdly it is to analyze information like identifying inflation sensitive expenses and calculating affordability under higher prices, step is to develop a plan by increasing emergency funds and reducing unnecessary spending.

Retirement review during stagflation

It is important for the retirees to calculate the net interest rate because the inflation reduces real returns. If the food costs increase faster than the investment, the retirement savings may be depleted earlier, and with regular reviews, it would be possible to ensure withdrawals remain sustainable.

Four approaches to risk

The four approaches to risk management are risk avoidance, risk reduction, risk retention and risk transfer.

First three steps of personal risk management

include determining objectives which is to avoid excessive debt, gathering information by reviewing income, expenses and credit card balances, and analyzing information by calculating interest cost, debt ratios and repayment ability.

Develop the plan

For the retention plan, the focus is on keeping a manageable amount of credit card debt and budget repayments, while reduction aims at setting spending caps, automatic payments and utilizing debit cards for daily purchases.

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