Individual Assessment 1.a: Simple Ordinary Annuity Directions: Calculate the future value of #1, 2, & 3 and present value of #4 & 5. Length of Annuity 3 years 5 years 4 years Length of Annuity 10 years Principal Interest Mode of Future Rate Payment Annually Monthly Value 1. P20,000 2% 2. P1,500 7% 3. P4,300 3.50% Quarterly Principal Interest Mode of Present Rate Payment Semi-annually Value 4. P5,000 3.20% 5. P3,800 6% Bimonthly 2 years
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- Present Value of an Annuity Ralph Benke wants to make 8 equal semiannual withdrawals of 8,000 from a fund that will earn interest at 11 % compounded semiannually. Required: How much would Ralph have to invest on: 1. January 1, 2019, if the first withdrawal is made on July 1, 2019 2. July 1, 2019, if the first withdrawal is made on July 1, 2019 3. January 1, 2019, if the first withdrawal is made on January 1, 2022Amount of an Annuity Beginning December 31, 2023, 5 equal annual withdrawals are to be made. Required: Using the appropriate tables, determine the equal annual withdrawals if 25,000 is invested at an interest of 12% compounded annually on: 1. January 1, 2023 2. December 31, 2023 3. January 1, 2020Use 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 $273,380
- 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 $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 $291,703Use 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 $250,193
- For each of the following situations involving annuities, solve for the unknown (?). Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (i = interest rate, and n = number of years) Present Value Annuity Amount i n1. ? $ 3,000 8% 52. $ 242,980 75,000 ? 43. 161,214 20,000 9 ?4. 500,000 80,518 ? 85. 250,000 ? 10 4 Sandy Kupchack just graduated from State University with a bachelor’s degree in history. During her four years at the university, Sandy accumulated $12,000 in student loans. She asks for your help in determining the…2. Consider the data in the following table: Perpetuity Annual amount discount rateA 100,000 10B 3,000 6 Determine the present value of each perpetuity.Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $170 deposited monthly for 20 years at 3% per year in an account containing $11,000 at the start Find the periodic payments PMT necessary to accumulate the given amount in an annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $90,000 in a fund paying 6% per year, with monthly payments for 5 years