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In each situation described below, identify the initial payment, the term interest rate, and
the number of compounding periods.
An investment of $5000 at an APR of 3% compounded monthly, followed by another
investment of $5000 made 2 years after the first. What is the value of the account after
5 years?
Step by step
Solved in 3 steps
- You have been depositing money into an account yearly based on the following investment amounts, rates and times. What is the value of that Investment account at the end of that period?For each of the following situations involving annulties, solve for the unknown. Assume that interest is compounded annually and that all annulty amounts are received at the end of each period. (/= Interest rate, and n = number of years) Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) 1. 2. 3. 4. 5. Present Value 248, 196 442,750 650,000 175,000 Annuity Amount $ 5,000 80,000 60,000 155,040 8% 11% 10% n = 5 4 10 4In each situation described below, identify the initial payment, the term interest rate, andthe number of compounding periods. Two investments, one of $2000 at an APR of 2% compounded yearly, and one of $1000at an APR of 2.5% compounded monthly, after 20 years.
- 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. (=interest rate, and n number of years) Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1. PV of $1. EVA of $1. PVA of $1, EVAD of $1 and PVAD of $1) 1 2 3. 4. 5 Present Value 368,041 714,457 600,000 200,000 Annuity Amount $ 4,000 105,000 110.000 96,048 8% 10% 10% n= 5 4 9 4For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor.1. In a future value of 1 table: Annual Rate Number of Years Invested Compounded (a) Rate of Interest (b) Number of Periods a. 11% 10 Annually % b. 8% 8 Quarterly % c. 10% 19 Semiannually % 2. In a present value of an annuity of 1 table: (Round answers to 1 decimal place, e.g. 458,58.1.) Annual Rate Number of Years Invested Number of Rents Involved Frequency of Rents (a) Rate of Interest (b) Number of Periods a. 12% 30 30 Annually % b. 11% 16 32 Semiannually % c. 12% 8 32 Quarterly %For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor. 1. In a future value of 1 table: Annual Rate Number of Years Invested Compounded (a) Rate of Interest a. 9% 12 Annually b. 8% 7 Quarterly C. 12% 16 Semiannually % % % (b) Number of Periods 2. In a present value of an annuity of 1 table: (Round "Rate of Interest" answers to 1 decimal place, e.g. 4.5% and other answers to O decimal places, e.g 45.) Annual Number of Years Rate Invested Number of Rents Involved Frequency of Rents (a) Rate of Interest (b) Number of Periods a. 10% 28 28 Annually b. 10% 15 30 Semiannually % % 8% 7 28 Quarterly %
- For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor. 1. In a future value of 1 table: Annual Rate Number ofYears Invested Compounded a. 9% 9 Annually b. 12% 5 Quarterly c. 10% 15 Semiannually 2. In a present value of an annuity of 1 table: Annual Rate Number ofYears Involved Number ofRents Involved Frequency of Rents a. 9% 25 25 Annually b. 10% 15 30 Semiannually c. 12% 7 28 QuarterlyThe Future value of a Present amount of money (compounded annually) after 1 year can be determined by: multiplying the Present amount by (1+interest rate) dividing the Present amount by (1+interest rate) adding the interest rate to the Present amount subtracting the interest rate from the Present amountFor the following exercise, use the compound interest formula, A(t) = P 1 + r n nt , where money is measured in dollars.After a certain number of years, the value of an investment account is represented by the expression 10,950 1 + 0.03 2 24 . How many years had the account been accumulating interest? yr
- What is the future value of $118,000 invested for 5 years at 11% compounded monthly? (a) State the type. A. ordinary annuityB. present value C. amortizationD. sinking fundE. future value (b) Answer the question. (Round your answer to the nearest cent.)Complete the following using compound future value. Time 13 years, Principal $16,800, Rate 2%, Compounded annually. What is the amount? What is the interest?Complete the following using compound future value. Time 2 years, Principal $15,000, Rate 8%, Compounded quarterly. What is the amount? What is the interest?