Accounting 201 - Lecture A10 Notes

Chapter 9: Administration

  • Material is getting harder, so it's crucial to keep up.
  • No make-ups will be given for the final exam.
  • Exam 2 cursory reviews will be held during lab class office hours from Monday (4/7) through Wednesday (4/9). Make arrangements with small section teachers.

Chapter 9 Learning Objectives

  • From Chapter 9: Learning Objectives 1 and 3
  • From Appendix C: Learning Objectives 1, 2, and 3
  • Framework

Financing the Company’s Operations

  • When a company needs cash, it has three main sources:
    • Generate profits from selling goods and services, which increases Retained Earnings (Internal source).
    • Sell shares of ownership in the company by issuing stock (Equity financing - External source).
    • Borrow money by issuing debt; a common type is issuing bonds (Debt financing - External source).

Debt vs. Equity Financing

  • Advantages of issuing bonds over additional shares of capital stock:
    1. Expansion is achieved without giving up ownership control.
    2. Interest payments are tax-deductible, unlike dividend payments.
  • Disadvantages of issuing bonds:
    1. Increased risk of bankruptcy.
    2. Potential reduction in financial flexibility due to restrictive debt covenants.

Time Value of Money

  • It's important to understand the time value of money before accounting for bonds.
  • Example: Considering a 10% annual return, which is better: $100 today or $105 in one year?
  • $100 today will grow to $110 in one year with a 10% interest rate. Therefore, $100 today is better.
  • $105 one year from now is worth less than $100 today because money loses value over time.

Future Value of a Single Amount

  • Compound interest: Earning interest on interest.
  • Example: Investing $1,000 in a savings account with 10% interest:
    • End of Year 1: 1,100 = $1,000 (investment) + $100 (interest)
    • Interest in Year 1: $1,000 {\times} {10 \%} = $100
    • End of Year 2: 1,210 = $1,000 (investment) + $210 (interest)
    • Interest in Year 2: ($1,000 + $100) {\times} {10 \%} = $110
    • End of Year 3: 1,331 = $1,000 (investment) + $331 (interest)
    • Interest: ($1,000 {\times} {10 \%}) + ($1,100 {\times} {10 \%}) + ($1,210 {\times} {10 \%})
    • Formula for n years: 1,000×(1+.10)n1,000 {\times} {(1 + .10)^n}

Future Value of Single Amount versus Annuity

  • Consider retirement planning as an example.
  • Investing $1,000 today into stocks, assuming an average historical return of 11%:
    • After 45 years (retirement at age 65): $109,530
    • This shows the effect of compound interest.
  • What if $1,000 is invested each year (annuity payment):
    • After 45 years: $986,639
    • Demonstrates the effect of compound interest on regular investments.

Historical Stock Returns

  • 1930-1939: 4.3%
  • 1940-1949: 9.6%
  • 1950-1959: 20.9%
  • 1960-1969: 8.6%
  • 1970-1979: 7.5%
  • 1980-1989: 17.9%
  • 1990-1999: 18.8%
  • 2000-2009: 2.3%
  • 2010-2014: 18.1%
  • Average: 11.8%

Present Value

  • Present value is the opposite of future value.
  • Future value: What will be the future value of today’s amount?
  • Present value: What is the value today of some future amount?
  • Example: $1,000 in three years, with 10%10\% compounding annually. The present value is calculated as:
    • Present Value = $1,331 {\times} {0.75131} = $1,000

Present Value of Annuity

  • Instead of a single future amount, determine the present value of multiple future amounts (annuity).
  • Example: Receiving $1,000 each year for the next three years, with a discount rate of 10%10\%.
    • Present value of three $1,000 annual payments = $1,000 {\times} {2.48685} = $2,487
  • Present value has important applications in business decisions like investing, budgeting, capital expenditures, and compensation.

Examples

  1. Deposited $6,000 in a savings account earning 10%10\% interest for ten years:
    • FV = $6,000 {\times} {2.59374} = $15,562.44
  2. Purchasing a delivery truck with $50,000 due in three years, at 10%10\%. What is the cost of the truck today?
    • PV = $50,000 {\times} {0.75131} = $37,565.50
  3. Establishing a fund to retire $30,000 of debt in ten years by depositing $2,000 per year at 9%9\%. Is it enough to pay the debt?
    • FVA = $2,000 {\times} {15.1929} = $30,385.80
  4. Renting an office. Option 1 = $25,000 today. Option 2 = $10,000 at the end of each year for three years at 10%10\%. Which option is better?
    • Option 2: PVA = $10,000 {\times} {2.48685} = $24,868.50 (Better)

Present Value – Issuance of Bonds

  • When a company needs cash, it can issue bonds.
  • Individuals pay cash, and the company promises to return cash via:
    1. Periodic interest payments.
    2. The principal amount at the end of the bond’s life.
  • Example: Issue a $1,000,000, 10%10\% semi-annual, three-year bond.
    • Semi-annual interest payment = $1,000,000 {\times} {10 \%} {\times} {\frac{6}{12}}
    • Final principal payment = $1,000,000
    • Total cash paid = $1,300,000

Issue Price of Bonds

  • Example: Issue a $1,000,000, 10%10\% semi-annual, 3-year bond. What is the issue price if the market rate is 8%8\%.
    • Step 1: PV of face amount = $1,000,000 {\times} {PV \ of \ $1, n=6, i=4\%}
      • = $1,000,000 {\times} {0.79031} = $790,310
    • Step 2: PV of interest = $50,000 {\times} {PVA \ of \ $1, n=6, i=4\%}
      • = $50,000 {\times} {5.24214} = $262,107
    • Step 3: Add Steps 1 and 2 = $1,052,417 (premium)

Issue Price of Bonds

  • Example: Issue a $1,000,000, 10%10\% semi-annual, 3-year bond. What is the issue price if the market rate is 12%12\%.
    • Step 1: PV of face amount = $1,000,000 {\times} {PV \ of \ $1, n=6, i=6\%}
      • = $1,000,000 {\times} {0.70496} = $704,960
    • Step 2: PV of interest = $50,000 {\times} {PVA \ of \ $1, n=6, i=6\%}
      • = $50,000 {\times} {4.91732} = $245,866
    • Step 3: Add Steps 1 and 2 = $950,826 (discount)

Issuance of Bonds – Recording

  • A company issues a $1,000,000, 10%10\% semi-annual, 3-year bond for $950,826.
  • Journal entry:
    • Debit Cash $950,826
    • Credit Bonds Payable $950,826
  • Accounting equation:
    • Assets increase by $950,826
    • Liabilities increase by $950,826

Discount or Premium

  • Discount: Bond sells for less than face value.
  • Premium: Bond sells for more than face value.
  • Bond 1: Market rate of return 8%8\%, Bond's stated rate 10%10\%, Premium
  • Bond 2: Market rate of return 12%12\%, Bond's stated rate 10%10\%, Discount
  • Bond 3: Market rate of return 10%10\%, Bond's stated rate 10%10\%, Face Value