a.
To determine: The
Present Value:
The present value refers to that value which is the current value computed for future amounts based on the discounted rate.
Future Value:
The future value means that value of the investment which will be realized in the future. With the help of the calculation of future value, an analysis of the amount to be invested can be made.
b.
To determine: The present value and the future value.
Present Value:
The present value refers to that value which is the current value computed for future amounts based on the discounted rate.
Future Value:
The future value means that value of the investment which will be realized in the future. With the help of the calculation of future value, an analysis of the amount to be invested can be made.
c.
To determine: The present value and the future value.
Present Value:
The present value refers to that value which is the current value computed for future amounts based on the discounted rate.
Future Value:
The future value means that value of the investment which will be realized in the future. With the help of the calculation of future value, an analysis of the amount to be invested can be made.
d.
To determine: The present value and the future value.
Present Value:
The present value refers to that value which is the current value computed for future amounts based on the discounted rate.
Future Value:
The future value means that value of the investment which will be realized in the future. With the help of the calculation of future value, an analysis of the amount to be invested can be made.
e.
To define: The present value with a time line and the effect of interest rates on present value.
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Chapter 5 Solutions
Fundamentals of Financial Management (MindTap Course List)
- 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: a. b. C. a. b. Annual Rate C. 10% 12% 12% Annual Rate 12% 12% 8% Number of Years Invested Number of Years Invested 26 16 7 12 6 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.) 20 Number of Rents Involved 26 32 Compounded 28 Annually Quarterly Semiannually Frequency of Rents Annually Semiannually (a) Rate of Interest Quarterly % (a) Rate of Interest % % % % (b) Number of Periods % (b) Number of Periodsarrow_forwardFor 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 %arrow_forwardFor 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 %arrow_forward
- 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 4arrow_forwardFor each of the following cases, indicate (a) to 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): Case A Case B Case A Case B Case A Case B Case A Annual Rate Case B 5% 8% Annual Rate (2) In Table 2 (future value of an annuity of 1): 6% (a) 4% Number of Years Invested (a) 3 6 % 11 % Number of Years Invested 7 % Compounded Annually Semiannually (b) Compounded Annually Semiannually (b) periods periods periods periodsarrow_forwardFor 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 % periodsarrow_forward
- 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: a. b. J C. a. b. Annual Rate C. 10% 8% 10% Annual Rate 9% 11% Number of Years Invested 12% 2. In a present value of an annuity of 1 table: (Round answers to 1 decimal place, e.g. 458,58.1.) Number of Rents Involved Number of Years Invested 29 16 10 7 7 20 29 32 Compounded 28 Annually Quarterly Semiannually Frequency of Rents Annually Semiannually (a) Rate of Interest Quarterly (a) Rate of Interest % % % % % % (b) Number of Periods (b) Number of Periodsarrow_forwardAssume that you must estimate what the future value will be two years from today using the future value of 1 table. (PV of $1, EV of $1. PVA of $1, and FVA of $1) Which interest rate column and number-of-periods row do you use when working with the following rates? (Round percentage answers to 2 decimal places.) Answer is complete but not entirely correct. Number of Periods 1. 12% annual rate, compounded annually 2.8% annual rate, compounded semiannually 3. 12% annual rate, compounded quarterly 4. 12% annual rate, compounded monthly Interest Rate 12.00 2.00 3.00 1.00 % % % % 2 80 24arrow_forwardFor 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) (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided. Round your final answers to nearest whole dollar amount.) Present Value Annuity Amount i = n = 1. ? $2,400 8% 5 2. 533,082 140,000 ? 4 3. 583,150 180,000 9% ? 4. 530,000 75,502 ? 8 5. 235,000 ? 10% 4arrow_forward
- What is the value of the continuously compounded nominal interest rate r if the present value of 104 to be recieved after one year is the same as the present value of 110 to be received after two years? Please solve by hand and show all the steps of answer in order me to understand it at best :)arrow_forwardAssume that at time 0 a sum L is lent for a series of n yearly payments. The rth payment, of amount xr, is due at the end of the rth year. Let the effective annual interest rate for the rth year be ir. Give an identity which expresses L in terms of the xr and ir.arrow_forwardFor 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. FVA of $1. PVA of $1. EVAD of $1 and PVAD of $1) 1. $ 2 3 4. 15 Present Value Answer is complete but not entirely correct. Annuity Amount 2.200 145,000 190,000 72.523 45,787 8,784 558,865 480,945 520,000 240,000 8% 1.0% 9% 2.5% 10% n= 5 4 30 8 4arrow_forward
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