On January 1, a company agrees to pay $27,000 in six years. If the annual interest rate is 10%, determine how much cash the company can borrow with this agreement. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the table provided. Round "Table Factor" to 4 decimal places.) Future Value Table Factor Amount Borrowed
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- Calculate the future value of the following single amounts. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) 1. 2 3. Initial Annual Investment Rate $ 7,200 5,200 8,200 8% 8% 8% Interest Compounded Annually Semiannually Quarterly Period Invested 9 years 6 years 3 years Future ValuePercentages need to be entered in decimal format, for instance 3% would be entered as .03 in cell B12.) Set up an amortization schedule for a $60,000 loan to be repaid in equal installments at the end of each of the next 20 years at an interest rate of 20%. What is the annual payment? After you input the data for each scenario, click on the Graph tab (second tab on the worksheet) and look at the Principal and Interest portions of the payments throughout the years. What do you notice about the amount of Principal and Interest over the years (which amount is higher in the early years, and which amount is higher in the later years) of the loan? What do you notice about the difference in Principal and Interest in the 10% scenarios compared to 20% scenarios?Calculate the future value of the following single amounts. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) Initial Investment Annual Rate Interest Compounded Period Invested Future Value 1. $7,400 10 % Annually 7 years $14,420.00 2. 5,400 12 % Semiannually 4 years 3. 8,400 8 % Quarterly 4 years
- Calculate the present value of the following single amounts. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) Future Value Annual Rate Interest Compounded Period Invested Present Value 1. $8,300 4 % Annually 3 years $7,378.70 2. 5,300 10 % Semiannually 6 years 4,578.35 3. 4,300 8 % Quarterly 2 yearsThe following investment requires a table factor for a period beyond the table. Calculate the new table factor and the present value (principal). Use Table 11-2. Round your new table factor to five decimal places and your present value to the nearest cent. CompoundAmount Term ofInvestment (years) NominalRate (%) InterestCompounded New TableFactor PresentValue $37,000 34 7 annually $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 4
- Fill in the table below when P= $9,000, S= $3,000 (at the end of four years), and i = 12% per year. What is the equivalent uniform CR? Click the icon to view the interest and annuity table for discrete compounding when the MARR is 12% per year. Complete the accompanying table. (Round to the nearest dollar.) Loss in Value Capital Recovery Amount for Year Investment Opportunity Cost of Interest of Asset at Beginning of Year $9,000 During Year $2,500 Year (=12%) 2 1,500 3 1,500 4. The equivalent uniform CR is (Round to the nearest cent.)Jones expects an immediate investment of $73,759.50 to return $15,000 annually for six years, with the first payment to be received one year from now. What rate of interest must Jones eam? (PV of $1. EV of $1. PVA of $1. and EVA of $1) (Use appropriate factor(s) from the tables provided. Round "Table Factor" to 4 decimal places.) Table Factor Interest Rate Present Value Annuity PaymentSuppose that a certain EOY (end of year) cash flows are expected to be $1,000 for the second year, $2,000 for the 3rd year, and $3,000 for the fourth year and that, if interest is 15% per year, Determine1. Present equivalent value at the beginning of the first year 2. Uniform annual equivalent value at the end of each of the four years.
- The present value of $30,000 to be received in 5 years at an interest rate of 16%, compounded annually, is $14,283.Required:Using a present value table (Table 6-4 and Table 6-5), calculate the present value of $30,000 for each of the following items (parts a—f) using these facts: (Use the appropriate value(s) from the tables provided. Round your PV factors to 4 decimal places and final answers to the nearest whole dollar.)a. Interest is compounded semiannually. b. Interest is compounded quarterly. c. A discount rate of 14% is used. d. A discount rate of 20% is used. e. The cash will be received in 3 years. f. The cash will be received in 7 years.The following investment requires table factors for periods beyond the table. Using Table 11-1, create the new table factor, rounded to five places, and calculate the compound amount (in $, rounded to the nearest cent.) Principal TimePeriod (years) NominalRate (%) InterestCompounded New TableFactor CompoundAmount $16,000 29 7 annually $Scheduled payments of $730 due today, $945 due in 3 months, and $935 due in 6 months are to be replaced by a single equivalent amount paid at the focal date of 27 months from today. Money earns 9.6% compounded annually. Using P/Y=C/Y=1 and PMT-0, determine the economically equivalent value for each amount at the focal date and enter the values in the blanks. In your rough work, it may be helpful to draw a timeline with the appropriate focal date for the unknown amount. Round dollar values to 2 decimal places. Moving $730 due today to the focal date: N= A PV= Moving $945 due in 3 months to the focal date: N = A PV= Moving $935 due in 6 months to the focal date: N = A PV= The single amount at the focal date is = A A FV- FV= AFV = E N
