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Chapter 6: Accounting and the Time Value of Money Sid Glandon, DBA, CPA Assistant Professor of Accounting
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Present Value-Based Accounting Measurements Notes Leases Amortization of premiums and discounts Pensions and other postretirement benefits Long-term assets Sinking funds Business combinations Disclosures Installment contracts
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Variables in Interest Computation Principal Amount borrowed or invested Interest rate Percentage of outstanding principal Time Number of periods that principal is outstanding
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Components of Interest Pure (risk free) rate (2%-4%) Credit risk rate (0%-5%) Expected inflation (0%-?)
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Simple Interest Interest = p * i * n p=principal i=rate of interest for a single period n=number of periods
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Compound Interest Computed on Principal balance, plus Accumulated interest not withdrawn
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Compound Interest Tables Future value of $1 Present value of $1 Future value of ordinary annuity of $1 Present value of ordinary annuity of $1 Present value of annuity due of $1
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Interest Rates and Frequency of Compounding Interest rate of 12% per year: Annual Compounded once per year at 12% Semi-annual Compounded twice per year at 6% Quarterly Compounded four times per year at 3% Monthly Compounded twelve times per year at 1%
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Annuity Computations Requires that Periodic payments or receipts always be of the same amount Interval between payments or receipts be the same Interest be compounded once each interval
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Ordinary Annuities Payments or receipts are always made at the end of the period Use the FVOA or PVOA tables
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Annuity Due Payments or receipts are always made at the beginning of the period Multiply 1 plus the interest rate times the table value of an ordinary annuity
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Issue Price of Bonds PV of Principle Using market rate of interest PV of Annuity Annuity = Principal times stated interest rate Using market rate of interest Equals Issue Price of Bonds
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