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Time Value of Money - continued. Net Present Value of an Investment Opportunity. Perpetuities, Annuities, and Other Special Cases. Perpetuities Annuities Growing Cash Flows Growing Perpetuity Growing Annuity. Short Cuts. Perpetuity – A fixed amount of cash is received forever.
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Perpetuities, Annuities, and Other Special Cases • Perpetuities • Annuities • Growing Cash Flows • Growing Perpetuity • Growing Annuity
Short Cuts Perpetuity – A fixed amount of cash is received forever. Examples: Preferred stock, consol bond Note: Mathematically, we have a declining geometric series, which has a finite value
Short Cuts Perpetuity – A fixed amount of cash is received forever. Examples: Preferred stock, consol bond Note: Mathematically, we have a declining geometric series, which has a finite value
Perpetuity - example • Suppose that as a successful TCU graduate you decide to establish an endowed chair in finance that will pay $250,000 a year in perpetuity. How much money do you need to donate to the school to establish this endowment? Assume the prevailing interest rate is 10%
Short Cuts Annuity - An asset that pays a fixed sum each year for a specified number of periods. Example: mortgage payments, car payments, car insurance, rent
Growing Perpetuity • Suppose you change your wish and decide that the salary that the professorship pays should grow at 4% annually. How much money do you need now?