Concept explainers
a.
To compute:
Present Value of Cash Flow:
It is also called as discounted value; it defines that amount of money that is invested at a given rate of interest will increases to the amount of future cash flow at that particular time in the future.
b.
To compute: Present value of $500 at 12% nominal rate, quarterly compounding, and discounted back 5years.
Present Value of Cash Flow:
It is also called as discounted value; it defines that amount of money thatis invested at a given rate of interest will increases to the amount of future cash flow at that particular time in the future.
c.
To compute: Present value of $500 at 12% nominal rate , monthly compounding, discounted back 1year.
Present Value of Cash Flow:
It is also called as discounted value; it defines that amount of money thatis invested at a given rate of interest will increases to the amount of future cash flow at that particular time in the future.
d.
To explain: Reason of difference in present value of part a andb.
Present Value of Cash Flow:
It is also called as discounted value; it defines that amount of money that is invested at a given rate of interest will increases to the amount of future cash flow at that particular time in the future.
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Chapter 5 Solutions
Fundamentals of Financial Management (MindTap Course List)
- For each of the following annuities, calculate the future value. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. Future Value Annual Payment Years Interest Rate $ 1,520 10 9% $ 6,540 34 10 $ 3,640 7 10 $ 8,330 36 11arrow_forwardSingle-payment compound amount factor is the conversion factor that, when multiplied by F, yields the present amount P of future amount F after n years at interest rate i. a. The above statement is factual b. The above statement is misleading c. The above statement is incomplete d. All of the abovearrow_forward(1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?arrow_forward
- a) What is the present value of the following payment series when the interest rate is 3% YR1 = $200YR2 = $100YR3 = $370YR4 = $370YR5 = $370YR6 = $-300 b) Convert the above payment series to a uniform payment series over 5 years, starting at year 1. c) Convert the payment series in question 6 to a uniform payment series over 3 years starting at year 3.arrow_forwardWhich of the following statements is true? Group of answer choices If interest is 13% compounded annually, $1300 due one year from today is equivalent to $1,000 today. The higher the discount rate, the higher the present value. The process of accumulating interest on interest is referred to as discounting. If interest is 4% compounded annually, $1040 due one year from today is equivalent to $1000 today.arrow_forwardIf the present discounted value of $1,562 received 7 years from now is $1,123, what is the interest rate, to the nearest 0.01%? Give typing answer with explanation and conclusionarrow_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_forwardCalculate 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, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) Annuity Payment Annual Rate Interest Compounded Period Invested Future Value of Annuity 1. $3,100 8.0 % Semiannually 9 years $79,500.77 2. 6,100 10.0 % Quarterly 5 years 3. 5,100 12.0 % Annually 6 yearsarrow_forwardPRESENT AND FUTURE VALUES FOR DIFFERENT INTEREST RATES Find the following values. Compounding/discounting occurs annually.a. An initial $200 compounded for 10 years at 4%b. An initial $200 compounded for 10 years at 8%c. The present value of $200 due in 10 years at 4%d. The present value of $1,870 due in 10 years at 8% and at 4%e. Define present value and illustrate it using a time line with data from part d. How arepresent values affected by interest rates?arrow_forward
- 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. (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= ______________ $ 2,600 8% 5 507,866 135,000 _____ 4 661,241 170,000 9% ____ 540,000 78,557 _____ 8 230,000 _____________ 10% 4arrow_forwardCompounding frequency, time value, and effective annual rates For each of the cases in the following table, а. Calculate the future value at the end of the specified deposit period. b. EAR. Determine the effective annual rate, С. Compare the nominal annual rate, r, to the effective annual rate, EAR. What relationship exists between compounding frequency and the nominal and effective annual rates? Case Initial Nom annual rate Comp.frq. Deposit Period A $2,700 7% 25 B $50,000 12% 4 3 C $1,100 7% 1 11 D $20,000 17% 4 8arrow_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