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:
- Expansion is achieved without giving up ownership control.
- Interest payments are tax-deductible, unlike dividend payments.
- Disadvantages of issuing bonds:
- Increased risk of bankruptcy.
- 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)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% 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%.
- 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
- Deposited $6,000 in a savings account earning 10% interest for ten years:
- FV = $6,000 {\times} {2.59374} = $15,562.44
- Purchasing a delivery truck with $50,000 due in three years, at 10%. What is the cost of the truck today?
- PV = $50,000 {\times} {0.75131} = $37,565.50
- Establishing a fund to retire $30,000 of debt in ten years by depositing $2,000 per year at 9%. Is it enough to pay the debt?
- FVA = $2,000 {\times} {15.1929} = $30,385.80
- Renting an office. Option 1 = $25,000 today. Option 2 = $10,000 at the end of each year for three years at 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:
- Periodic interest payments.
- The principal amount at the end of the bond’s life.
- Example: Issue a $1,000,000, 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% semi-annual, 3-year bond. What is the issue price if the market rate is 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% semi-annual, 3-year bond. What is the issue price if the market rate is 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% 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%, Bond's stated rate 10%, Premium
- Bond 2: Market rate of return 12%, Bond's stated rate 10%, Discount
- Bond 3: Market rate of return 10%, Bond's stated rate 10%, Face Value