Loan Amortization Overview
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Questions and Answers

What is the total interest paid by DD Company when it repays its loan on June 30, 2018?

  • P625,000
  • P1,325,000 (correct)
  • P250,000
  • P150,000

How much is the remaining principal balance after the payment on June 30, 2016?

  • P2,500,000
  • P1,500,000
  • P2,000,000 (correct)
  • P1,000,000

What is the formula used to determine the periodic payment for a loan?

  • $R = rac{PV imes i}{(1 - (1 + i)^{-n})}$ (correct)
  • $R = rac{PV imes (1 + i)^n}{n}$
  • $R = rac{PV}{(1 + i)^n}$
  • $R = rac{PV}{n}$

What is the amount of each payment made by DD Company on their loan?

<p>P500,000 (C)</p> Signup and view all the answers

What is the interest expense calculated during the period from June 30 to December 31, 2015?

<p>P150,000 (B)</p> Signup and view all the answers

What is the formula used to calculate interest in this scenario?

<p>I = Prt (A)</p> Signup and view all the answers

Which of the following best describes the relationship between expected returns and risk?

<p>To increase expected returns, an investor must accept more risk. (B)</p> Signup and view all the answers

If the principal amount is $50,000 and the interest rate is 10%, what is the interest for one period of 6 months?

<p>$1,250 (D)</p> Signup and view all the answers

What happens to the outstanding principal at the end of each period?

<p>It decreases as periodic payments are made. (B)</p> Signup and view all the answers

What would be the total amount of interest earned after 6 periods if no payments are made on the principal?

<p>$7,500 (A)</p> Signup and view all the answers

Which statement correctly reflects period payments in the given table?

<p>Payments are made at the end of each period. (D)</p> Signup and view all the answers

If an investor wants to avoid risk entirely, what could they expect in terms of return?

<p>Return equal to the inflation rate. (A)</p> Signup and view all the answers

Why is it essential to understand the risk-return trade-off in business finance?

<p>To balance potential losses against potential gains. (C)</p> Signup and view all the answers

What is the relationship between risk and return in investment opportunities?

<p>Higher risk usually results in higher returns. (A)</p> Signup and view all the answers

Which of these best defines conservative risk tolerance?

<p>Preference for stability with little to no acceptance of risk. (A)</p> Signup and view all the answers

What is the primary function of portfolio management?

<p>To plan investment opportunities based on risk tolerance. (A)</p> Signup and view all the answers

What distinguishes aggressive risk tolerance from conservative risk tolerance?

<p>Aggressive investors have maximum risk acceptance and seek high returns. (B)</p> Signup and view all the answers

Which statement best describes investment diversification?

<p>Spreading investments across various asset types to mitigate risk. (D)</p> Signup and view all the answers

What does risk tolerance classify?

<p>The level of risk an investor is comfortable accepting. (B)</p> Signup and view all the answers

What best defines a portfolio in the context of investments?

<p>A collection of diverse assets tailored to investor goals. (B)</p> Signup and view all the answers

What is the expected behavior of a moderate risk tolerance investor when faced with uncontrollable risks?

<p>They will generally pull out their investments as a first reaction. (B)</p> Signup and view all the answers

Flashcards

Loan Amortization

A loan repaid in equal payments over a set time.

Loan Amortization Table

A table showing loan payment breakdown (interest & principal) over time.

Interest Calculation (Loan)

Calculating interest earned or paid over a loan's life. Part of each payment goes to cover interest.

Periodic Loan Payment

Fixed payment amount made at regular intervals to repay a loan.

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Amortization Schedule

Detailed schedule of loan payments, showing interest, principal and outstanding balance.

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Loan Amortization Formula

The formula used to calculate the interest paid and outstanding principal for each period of a loan. It is commonly expressed as I = Prt, where I is interest, P is principal, r is the interest rate, and t is the time period.

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Simple Interest (I)

The interest you receive on a loan or investment. It is calculated on the principal amount only and is not compounded.

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Principal (P)

The original sum of money borrowed or invested. This is the base amount used for calculating interest.

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Interest Rate (r)

The percentage charged or earned on the principal for a specific period of time. It represents the cost of borrowing or the reward for lending.

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Time Period (t)

The duration for which the interest is calculated. This could be a month, a year, or any other specific timeframe.

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Period Payment (A)

The fixed amount paid at regular intervals for a loan or investment. It includes both interest and principal repayment.

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Amount Repaid (C)

The total amount repaid to the principal at the end of each period. It is the portion of the period payment that goes towards reducing the loan balance.

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Outstanding Principal (D)

The remaining balance on the loan at the end of each period. It reflects the principal amount still owed after the period's payment.

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Risk-Return Trade-off

The principle that higher potential returns usually come with higher risk. Lower risk investments typically offer lower returns.

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Risk Tolerance

An investor's willingness to accept potential losses for the chance of higher returns. It's based on their financial resources and personal comfort with risk.

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Conservative Risk Tolerance

An investor who prioritizes preserving capital and accepts very low risk, aiming for small, steady returns.

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Moderate Risk Tolerance

An investor who is willing to take on some risk to potentially achieve above-average returns, but exits investments quickly if risks become high.

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Aggressive Risk Tolerance

An investor who is willing to take on significant risk for potentially large returns, holding investments longer even through periods of volatility.

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Portfolio Management

Creating and managing a collection of investments (portfolio) to achieve financial objectives, considering the investor's risk tolerance and time horizon.

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Investment Diversification

Spreading investments across different asset classes, industries, or securities to reduce risk and potentially enhance returns.

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Portfolio

A collection of investments (stocks, bonds, etc.) chosen based on the investor's risk tolerance and financial goals.

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Study Notes

Loan Amortization

  • Loan amortization is repaying a loan in equal payments over a specific period.
  • DD Company borrowed $3 million from ASC Bank at 10% annual interest.
  • Loan payments were $500,000 every December 31 and June 30 until the loan was paid off.
  • An amortization table outlines the principal, interest, and balance for each payment.

Amortization Table Example

  • The table shows loan payments, interest, principal payment, and outstanding principal balance over time.
  • Initial loan balance: $3,000,000
  • December 31, 2015 payment: 650,000,Interest:650,000, Interest: 650,000,Interest:150,000, Principal: 500,000,NewBalance:500,000, New Balance: 500,000,NewBalance:2,500,000.
  • Following payments and balances are calculated in sequence, illustrating how the loan is repaid gradually.

Calculating Interest

  • To calculate interest from June 30 to December 31, 2015: 3,000,000x103,000,000 x 10% x (6/12) = 3,000,000x10150,000

Calculating Regular Payments

  • To compute equal regular loan payments use the appropriate formula.
  • Formula 1: R = PV / PVIFA
    • Formula 2: R = PV / (1 - (1 + i)^-n) * i (Where R = payment, PV = present value, i = interest rate, n=number of periods).

Example 2: Mobile Phone Loan

  • A loan of $50,000 to buy a mobile phone was repaid every 6 months over three years.
  • The interest rate is 10%, compounded semi-annually.
  • The periodic payment is $9,850.86.

Amortization Schedule Example

  • This example uses the previous formula to calculate an amortization schedule for the $50,000 loan.
  • It shows payments, interest, principal, and the outstanding balance with an amortization schedule table.

Learning Modules: Risk and Return

  • Increased expected returns often require higher risk acceptance on the part of the investor.
  • Investors have different risk tolerance levels.
  • Risk tolerance is the willingness to accept risk. It is categorized into conservative, moderate, and aggressive.

Conservative Risk Tolerance

  • Investors with a low risk tolerance expect minimal loss when investing.

Moderate Risk Tolerance

  • Investors display a moderate approach to investing, accepting some risk to gain higher profits, but pulling out of investments if risk is too great.

Aggressive Risk Tolerance

  • Investors with a high risk tolerance are willing to invest highly in potentially high returns but higher risk investments, even accepting potentially total loss.

Portfolio Management

  • Portfolio management involves planning investments based on risk tolerance to meet financial goals and timeframes.
  • The plan may include diverse investments like stocks, bonds, CDs, or other money market instruments depending on the investor's strategy.

Investment Diversification

  • Investors should spread their investments across different assets (e.g., stocks, bonds, real estate) to reduce risk.
  • "Putting eggs in different baskets." is the method for investment diversification
  • This is because of the risk reduction that occurs with investing in multiple avenues.

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Loan Amortization - PDF

Description

Explore the concept of loan amortization through examples and calculations. This quiz covers how loan payments are structured, the creation of an amortization table, and the formulas used for calculating regular payments and interest. Understand the key components of repaying loans effectively.

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