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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
- Use the present value tables to answer the following questions. Required:1) What is the present value of a $100,000 loan issued on January 1, 2020, due on January 1, 2025, discounted at 14% compounded annually? 2) What is the present value of a $100,000 loan issued on January 1, 2020, due on July 1, 2025, discounted at 16% compounded quarterly? 3) How much is the difference between the face amount of $25,000 and the present value of $25,000 due at the end of sevenyearsat9%compoundedannually?Future Value of an Investment Using the future value tables, solve the following. (Click here to access the time value of money tables to use with this problem.) Round your answers to two decimal places. Required: 1. What is the future value on December 31, 2020, of a deposit of $35,000 made on January 1, 2017, assuming interest of 10% compounded annually? 2. What is the future value on December 31, 2020, of a deposit of $10,000 made on January 1, 2017, assuming interest of 16% compounded quarterly? 3. What is the future value on December 31, 2020, of a deposit of $25,000 made on January 1, 2017, assuming interest of 12% compounded semiannually? $Suppose $100 was deposited at the EOY 2011 and $220 was withdrawn at the EOY 2020, emptying the account. Find the annual interest rate.
- Calculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1. PV of $1, EVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) 1. Annuity Payment $ 3,700 Annual Rate Interest Period Compounded Invested Future Value of Annuity 7.0% Semiannually 9 years 2. 6,700 8.0% Quarterly 5 years 3. 5,700 12.0% Annually 6 yearsFor 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 %A $700,000 loan was received on Nov. 30, 2022, with annual interest at 9.5%, C/M, requires monthly, end of period payments of $7,700, beginning Dec.31, 2022. How many payments are needed to fully pay off the loan? How much will the final payment be? How much interest is paid on the 30th payment? What is the balance still owing after 10 years? How much of the loan principal will be paid, in total, during years 6 and 7? How much interest is paid, in total, during the life of the loan?
- CZ Enterprises borrows $202,775 at an interest rate of 10% today and will repay this amount by making 10 semiannual payments. Payments begin in six months. What is the amount of the payments that CZ will need to make? (Use the present value and future value tables, a financial calculator, a spreadsheet or the formula method for your calculations. If using present and future value tables or the formula method, use factor amounts rounded to five decimal places, X.XXXXX. Round your final answer to the nearest cent, $X.XX.) CZ will need to make payments of $ 26,260.31.For each of the following cases, indicate (a) what interest rate columns and (b) what number of periods you would refer to in looking up the future value factor. (1) In Table 1 (future value of 1): Number of Annual Rate Years Invested Compounded Case A 5% 5 Annually Case B 8% 6 Semiannually Case A Case B . (a) % % (2) In Table 2 (future value of an annuity of 1): Annual Rate Number of Years Invested Compounded Case A 6% 9 Annually Case B 8% 5 Semiannually Case A Case B (b) periods periods (a) (b) % periods % periodsYou have been assigned to estimate the interest rates that your company may have to pay when borrowing money in the near future. The following information is available.kPR = 2%MR = 0.1% for a 1 year loan increasing by 0.1% for each additional yearLR = 0.05% for a 1 year loan increasing by 0.05% for each additional yearDR = 0 for a 1 year loan, 0.2% for a 2-year loan, increasing 0.1% for each additional yearExpected Inflation Rates Year 1 = 7% Year 2 = 5% Year 3 and thereafter = 3% a. Calculate the inflation adjustment (INFL) for a 5-year loan. b. Calculate the appropriate interest rate for a 5-year loan.
- A loan officer is preparing the documents for a commercial term loan. The borrower's risk profile suggests that an annualized return (EAR) of 6.3% is appropriate. The loan will require semi-annual payments, i.e., one payment every six months. What APR (compounded semi-annually) should be used to compute the borrower's future payments? (please show the results in excel spreadsheet also)Find the maturity value if P25,000 is invested from October 15, 2016 to December 15, 2017 at a simple interest rate of 14%?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 %
