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- Write the 4 Formulas for Uniform Annuity Series 1 Find F/A2 Find P/A3 Find A/P4 Fina A/F5 P (Present Value) for PerpetuityAnnuity A and B are exactly the same except that annuity A has 5 payments and annuity B has 7 payments, which one has the higher future value? Select one: a. B b. A=B c. AAnnuity A and B are exactly the same except that annuity A has an interest rate of 4% and annuity B has an interest rate of 5%, which one has the higher future value? Select one: a. B b. A=B c. A
- For each of the following situations, identify (1) the case as either (a) a present or a future value and (b) a single amount or an annuity, (2) the table you would use in your computations (but do not solve the problem), and (3) the interest rate and time periods you would use. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round "Table Factors" to 4 decimal places.)a. You need to accumulate $20,000 for a trip you wish to take in five years. You are able to earn 10% compounded semiannually on your savings. You plan to make only one deposit and let the money accumulate for five years. How would you determine the amount of the one-time deposit?b. Assume the same facts as in part (a) except that you will make semiannual deposits to your savings account. What is the required amount of each semiannual deposit?1. You want to retire after working 40 years with savings in excess of $1,000,000. You expect to save $4,000 a year for 40 years…Which of following formulas is used to calculate the present value of a perpetual annuity? Seleccione una: a. P= f / (1+i)^n b. P= f / (i - g) c. P= a / (i - g) d. P= a / (1+i)^n e. F = P * (1+i)^nIf annuity A has 30 payments of $500 at an interest rate of 10% and annuity B has 30 payments of $500 at an interest rate of 9%, which one has the higher present value? Select one: a. Not enough information to determine. b. B c. A
- Use the table below to answer the following questions: Present Value of 1 Factor Present Value of an Annuity of 1 Factor Period 1/2 Yr Full-Yr 1/2 Yr Full-Yr 1 0.9578 0.9174 0.9578 0.9174 2 0.9174 0.8417 1.8753 1.7591 3 0.8787 0.7722 2.7540 2.5313 4 0.8417 0.7084 3.5957 3.2397 5 0.8062 0.6499 4.4019 3.8897 6 0.7722 0.5963 5.1740 4.4859 Assumption: Required annual effective rate (EPR) of return is 9%. If an investment pays you $54,000 every 6 months for 3 years, starting at the beginning of each 6 month period, what is its present value? Group of answer choices $279,396 $291,703 $250,193 $273,380Use the table below to answer the following questions: Present Value of 1 Factor Present Value of an Annuity of 1 Factor Period 1/2 Yr Full-Yr 1/2 Yr Full-Yr 1 0.9578 0.9174 0.9578 0.9174 2 0.9174 0.8417 1.8753 1.7591 3 0.8787 0.7722 2.7540 2.5313 4 0.8417 0.7084 3.5957 3.2397 5 0.8062 0.6499 4.4019 3.8897 6 0.7722 0.5963 5.1740 4.4859 Assumption: Required annual effective rate (EPR) of return is 9%. If an investment pays you $324,000 at the end of 3 years, what is its present value? Group of answer choices $279,396 $291,703 $273,380 $250,193Use the table below to answer the following questions: Present Value of 1 Factor Present Value of an Annuity of 1 Factor Period 1/2 Yr Full-Yr 1/2 Yr Full-Yr 1 0.9578 0.9174 0.9578 0.9174 2 0.9174 0.8417 1.8753 1.7591 3 0.8787 0.7722 2.7540 2.5313 4 0.8417 0.7084 3.5957 3.2397 5 0.8062 0.6499 4.4019 3.8897 6 0.7722 0.5963 5.1740 4.4859 Assumption: Required annual effective rate (EPR) of return is 9%. If an investment pays you $54,000 every 6 months for 3 years, what is its present value? $279,396 $250,193 $273,380 $291,703
- Use the table below to answer the following questions: Present Value of 1 Factor Present Value of an Annuity of 1 Factor Period 1/2 Yr Full-Yr 1/2 Yr Full-Yr 1 0.9578 0.9174 0.9578 0.9174 2 0.9174 0.8417 1.8753 1.7591 3 0.8787 0.7722 2.7540 2.5313 4 0.8417 0.7084 3.5957 3.2397 5 0.8062 0.6499 4.4019 3.8897 6 0.7722 0.5963 5.1740 4.4859 Assumption: Required annual effective rate (EPR) of return is 9%. If an investment pays you $108,000 at the end of each year for 3 years, what is its present value? Group of answer choices $291,703 $273,380 $279,396 $250,193Prove: FVA of an Ordinary Annuity times (1+i) = FVA of an Annuity Due, where i= interest rate. SHow all workHow did you calculate the Annuity factor at 5%?
