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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Fundamentals of Financial Management, Concise Edition (MindTap Course List)
- (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_forwardPresent Value for Various Compounding Periods Find the present value of $575 due in the future under each of the following conditions. Do not round intermediate calculations. Round your answers to the nearest cent. 9% nominal rate, semiannual compounding, discounted back 5 years. $ 9% nominal rate, quarterly compounding, discounted back 5 years. $ 9% nominal rate, monthly compounding, discounted back 1 year. $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_forward
- If 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_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_forwardWhich of the following changes would increase the present value of a future payment? (check all that apply) Decrease in the number of years until the future payment is received Increase in the interest rate Increase in the amount of the payment Decrease in the interest rate Increase in the number of years until the future payment is receivedarrow_forward
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