For a stock to be in equilibrium, that is, for there to be no long-term pressure for its price to depart from its current level, thena. the past realized return must be equal to the expected return during the same period. b. the required return must equal the realized return in all periods. c. the expected return must be equal to both the required future return and the past realized return. d. the expected future returns must be equal to the required return. e. the expected future return must be less than the most recent past realized return.

Annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). however, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). what is the future value of a 13-year annuity of $2,800 per period where payments come at the beginning of each period? the interest rate is 9 percent. use appendix c for an approximate answer, but calculate your final answer using the formula and financial calculator methods. to find the future value of an annuity due when using the appendix tables, add 1 to n and subtract 1 from the tabular value. for example, to find the future value of a $100 payment at the beginning of each period for five periods at 10 percent, go to appendix c for n = 6 and i = 10 percent. look up the value of 7.716 and subtract 1 from it for an answer of 6.716 or $671.60 ($100 × 6.716)

mark, a civil engineer, entered into a contract with david. as per the contract, mark agreed to design and build a house for david for a specified fee. mark provided david with an estimation of the total cost and the contract was mutually agreed upon. however, during construction, when mark increased the price due to a miscalculation on his part, david refused to pay the amount. this scenario is an example of a mistake.

Which of the following is an example of an unsought good? a. cameron purchases a new bike. b. jordan buys paper towels. c. taylor buys cupcakes from her favorite bakery. d. riley buys new windshield wipers for her car.