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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 $10000 made in January 2018 at an APR of 5% compounded monthly,
and another investment of $20000 made in January 2025 at an APR of 3% compounded
weekly. What is the value of the account in January 2030?
Step by step
Solved in 3 steps
- Determining Loan Repayments Jerry Rockness needs 40,000 to pay off a loan due on December 31, 2028. His plans included the making of 10 annual deposits beginning on December 31, 2019, in accumulating a fund to pay off the loan. Without making a precise calculation, Jerry made 3 annual deposits of 4,000 each on December 31, 2019, 2020, and 2021, which have been earning interest at 10% compounded annually. Required: What is the equal amount of each of the next 7 deposits for the period December 31, 2022, to December 31, 2028, to reach the fund objective, assuming that the fund will continue to earn interest at 10% compounded annually?Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER. Will the future value be larger or smaller if we compound an initial amount more often than annually—for example, every 6 months, or semiannually—holding the stated interest rate constant? Why? What is the future value of $100 after 5 years under 12% annual compounding? Semiannual compounding? Quarterly compounding? Monthly compounding? Daily compounding? What is the effective annual rate (EAR or EFF%)? What is the EFF% for a nominal rate of 12%, compounded semiannually? Compounded quarterly? Compounded monthly? Compounded daily?What is the present value on January 1, 2019, of $10,000 to be received on January 1, 2023, and discounted at 6% compounded quarterly? ____________________________ What is the future value on January 1, 2025, of $20,000 deposited on January 1, 2019, which accumulates interest at 10% compounded annually? ____________________________ What is the interest rate per period and the frequency of compounding per year in each of the following? If needed, round your interest rate answers to two decimal places. Interest RatePer Period Frequency of CompoundingPer Year a. 18% compounded semiannually _______% _______ times b. 16% compounded quarterly _______% _______ times c. 15% compounded monthly _______% _______ times
- In each situation described below, identify the initial payment, the term interest rate, andthe number of compounding periods. An investment of $5000 at an APR of 3% compounded monthly, followed by anotherinvestment of $5000 made 2 years after the first. What is the value of the account after5 years?Beginning December 31, 2018, Stanley wants to make ten equal, annual withdrawals from an investment account.Required:Using the appropriate tables, determine the amount of each annual withdrawal if $140,000 is invested on January 1, 2018 ataninterestrateof10%compoundedannually.What will be the future value on December 31, 2023, of 5 annual $60,000 deposits starting on December 31, 2019, if the amounts earn 8% compounded annually? (Click here to access the PV and FV tables to use with this problem.) Round your answer to two decimal places. $ _________
- In 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.Starting at 1 January 2020, the effective rate of interest will be 5% per half-year for 12 months, 10% per quarter-year for the following 15 months and 7% per month thereafter. Calculate the present value at 1 April 2020 of 1000 receivable on 1 April 2023.Using the appropriate present value table and assuming a 12% annual interest rate, determine the present value on December 31, 2016, of a five-period annual annuity of $5,000 under each of the following situations: 1. The first payment is received on December 31, 2017, and interest is compounded annually. 2. The first payment is received on December 31, 2016, and interest is compounded annually. 3. The first payment is received on December 31, 2017, and interest is compounded quarterly.
- Massy Store makes a $10,500 investment at Republic Bank Ltd on January 1, 2019. At the end of December 31, 2023, Massy Store is expected to accumulate an amount of $17166.25?i. Calculate the interest rate needed to procure this investment? ii. How long will it take for the initial amount invested to be doubled, given that interest is compounded annually at the rate in (i) above?Using the appropriate present value table and assuming a 12% annual interest rate, determine the present value on December 31, 2021, of a five-period annual annuity of $5,000 under each of the following situations:1. The first payment is received on December 31, 2022, and interest is compounded annually.2. The first payment is received on December 31, 2021, and interest is compounded annually.3. The first payment is received on December 31, 2022, and interest is compounded quarterly.