Personal Finance: Loan Analysis and Recommendation Report

This report analyzes two mini case studies focused on personal finance loan decisions. Case I evaluates three loan proposals for a car purchase, comparing interest rates, upfront fees, and effective annual interest rates to determine the optimal loan option for Ms. Tia. Case II examines the possibility of refinancing an existing mortgage, evaluating different interest rates, fees, and insurance premiums to assess whether refinancing would be beneficial. The report calculates monthly EMIs and effective annual interest rates for each scenario, providing recommendations based on the lowest effective cost to the borrower. The analysis highlights the importance of considering all costs, including upfront fees and insurance, when making loan decisions. The conclusion recommends the best loan option for each case, emphasizing the importance of careful financial planning and comparison of loan terms.

Personal Finance
Introduction
The report deals with two mini case laws for Ms. Tia who is a fitness trainer and is thinking
of taking loan in the near future for purchasing a new compact car under case-I and changing
her existing mortgage on home under a belief that the interest rate has fallen in the market
under case-II.
The report has been presented to analyse the various options that is in the hand of Tia for
taking loans and computation of effective rate under each model so as to determine the
optimum model whereby the effective cost incurred is minimum for procurement of new loan
or replacing the existing loan.
Mini Case-1
Under the first case, Tia is considering to buy a new compact with the following three
proposal to procure the loan:
(a) Interest rate @8.99% which needs to be compounded monthly and fees of $ 650 upfront;
(b) Interest rate @9.05% which needs to be compounded monthly and fees of $ 540 upfront;
(c) Interest rate @9.25% which needs to be compounded monthly and fees of $ 350 upfront
Under Option 1
The per month EMI has been computed at $456.58 with annual EMI at $ 5,478.92. Further,
the effective annual interest rate has been computed @10.28% considering the fees as an
upfront expenditure.
Under Option 2
The per month EMI has been computed at $457.22 with annual EMI at $ 5,486.61. Further,
the effective annual interest rate has been computed @10.12% considering the fees as an
upfront expenditure.
Under Option 3
The per month EMI has been computed at $459.36 with annual EMI at $ 5,512.29. Further,
the effective annual interest rate has been computed @9.94% considering the fees as an
upfront expenditure.
Conclusion
On the basis of above, it may be concluded that option 3 is the best available for Tia under
the given three scenarios. Hence, the loan shall be taken at interest rate @9.25% which needs
to be compounded monthly and fees of $ 350 upfront.
Mini Case-2
Under the second case, Tia is considering to replace her existing loan with anew loan under a
belief that interest rates have fallen. The following are the options available with Tia :
(a) Interest rate @4.00% which needs to be compounded monthly and fees of $ 750
upfront;

(b) Interest rate @4.15% which needs to be compounded monthly and fees of $ 500 upfront
along with insurance premium of $ 2200 upfront;
(c) Interest rate @3.95% which needs to be compounded monthly and fees of $ 350 upfront
along with insurance premium of $ 3100 upfront
Under Option 1
The per month EMI has been computed at $1666.45 with annual EMI at $ 19,997.35. Further,
the effective annual interest rate has been computed @4.03% considering the fees as an
upfront expenditure.
Under Option 2
The per month EMI has been computed at $1688.26 with annual EMI at $ 20,259.14. Further,
the effective annual interest rate has been computed @4.26% considering the fees as an
upfront expenditure.
Under Option 3
The per month EMI has been computed at $1659.21 with annual EMI at $ 19,910.51. Further,
the effective annual interest rate has been computed @4.09% considering the fees as an
upfront expenditure.
Also, the interest rate under the current scenario is 0.56% which is much lower than the
above three cases. Hence, Tia should not change the existing loan.