What lump sum deposited today at 8% compounded quarterly for 10 years will yield the same final amount as deposits of $4000 at the end of each 6-month period for 10 years at 4% compounded semiannually? The value of the lump sum is $ (Round to the nearest cent as needed.)

Q: Compute the future value of the following deposits made today: a. $10,000 at 6.75% compounding…

A: The future value of a certain deposit is the value of the deposit accumulated with interest. It is…

Q: The present sum needed to provide for an annual withdrawal of $1,500 for 25 years beginning 5 years…

A: Annual withdrawal (P) = $ 1500 Number of annual payment (n) = 25 Annual interest rate (r) = 10%

Q: Determine the present worth of a series of P10, 000 quarterly payments that extend over a period of…

A: Given: Particulars Amount Amount 10000 Interest rate 10% Years 8

Q: a. Calculate the future sum of P5,000, given that it will be held in the bank five years at an…

A: Note 1)It is a case where no sub-part is specified to solve among the multiple sub-parts posted, so…

Q: A payment of $15,000 is due in 1 year and $11,000 is due in 2 years. What two equal payments, one in…

A: Compounding is a technique which is used to compute the future value (FV) of the present amount by…

Q: If $82,000 is invested in an annuity that earns 5.8%, compounded quarterly, what payments will it…

A: Present value (PV) of the investment is $82,000, which would earn an interest rate (r) of 5.8%…

Q: If P25, 000 is deposited now into a savings account that earns 6% per year, what uniform annual…

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Q: If $84,000 is invested in an annuity that earns 5.2%, compounded quarterly, what payments will it…

A: Investment (PV) = $84000 Interest rate = 5.2% Quarterly interest rate (r) = 5.2%/4 = 1.30% Period =…

Q: What is the future value of a lump sum of $1,335, in 17 years, assuming an interest rate of 8.8…

A: Given details are : Present value = $1335 Time period = 17 years  Annual percentage rate = 8.8%…

Q: $3,000 is invested at 8%p.a compounding semi-annually for the first 3 years and at 13% p.a…

A: The compounding method is an important technique of the time value of money. The compounding…

Q: A payment of $35,000 is due today. What three equal payments, one in 2 years, one in 4 years, and…

A: Let the equal payments = X The payments are to be made in year 2, 4 and 7. Interest rate = 4.5%…

Q: ROUND ALL ANSWERS TO NEAREST DOLLAR How much will $10,000 grow to in 3 years, assuming an Interest…

A: Note: Since you have specifically used question number 10 to get solved, so we are solving the same…

Q: If $86,000 is invested in an annuity that earns 5.6%, compounded quarterly, what payments will it…

A: A study that proves that the future worth of the money is lower than its current value due to…

Q: At end of three years, how much is an initial deposit of $100 worth, assuming a compound annual rate…

A: FV is the worth of amount that will be paid or received in future. The formula for the computation…

Q: or total yearly payments of $10000 for 10 years, compare the compound amount accumulated at the end…

A: Given information: Annual payments : $10,000 Time periods : 10 years Nominal Rate of interest : 20%

Q: With an interest rate of 8% compounded semiannually, the value of a $1,000 investment after 10 years…

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Q: How much should be deposited now at 7 percent compounded annually to make possible withdrawals of…

A: A concept through which it is studied that the current worth of money is higher than its future…

Q: Calculate the compound amount (in $) on an investment of $5,500 at 10% interest, compounded…

A: The future value is the amount that will be received at the end of a certain period. In simple…

Q: Two payments of $18,000 and $2,200 are due in 1 year and 2 years, respectively. Calculate the two…

A: Compounding refers to the power of increasing the interest on the total investment . It actually…

Q: If 400,000 is deposited at the rate of 6% compounded annually at the beginning of each period for 6…

A: The Future value of annuity due is the total future value of each cash flow which is made at the…

Q: Find the lump sum deposted today that will yeld the same total amount as payments of $13.000 at the…

A: Present Value of Annuity: With respect to annuities, the present value of a contract is the current…

Q: A payment of $23,000 is due today. What three equal payments, one in 2 years, one in 4 years, and…

A: The equivalent periodic cost is the periodic payment made towards the acquisition of an asset or…

Q: A sinking fund is established to discharge a debt of $80,000 in 20 years. If deposits are made at…

A: Working note:

Q: What is the present value of $1,552.90 due in 10 years at (1) a 12 percent discount rate and (2) a 6…

A: Compute present value of $1,552.90 due in 10 years at 12% discount rate as shown below:

Q: Suppose you deposit $2,000 at the end of eachquarter for ten years at an interest rate of 9%…

A: Annuity refers to series of annual payment which is paid or received at start or ending of specific…

Q: If you contribute $1000.00 into an RRSP every six months for fifteen years and interest on the…

A: GIVEN, pmt =$1000 NPER = 15 X 2 =30 RATE = 8%2=4% PV=0

Q: Find the lump sum deposited today that will yield the same total amount as payments of $15,000 at…

A: Answer -   Formula for Lump Sum deposited Today -  P = R ( 1 - (1+i)-n/ i)

Q: If $1000 is deposited in a savings account at the beginning of each of 10 years and the account…

A: Working note:

Q: What cash payment is equivalent to making payments of $1471.00 at the end of every year for 8 years…

A: Solution:- When an equal amount is paid at end of each period, it is called as ordinary annuity.…

Q: What is the equal-payment series for 10 years that is equivalent to a payment series starting with…

A: Given information: Initial amount is $10,000 Decreases by $1,000 over 10 years Interest rate is 7%

Q: What is the present worth of the followingseries of payments?(a) $5,000 at the end of each six-month…

A: Periodic Payment = 5000 Semi Annual Compounding, Hence: Time Period = 12 years * 2 = 24 semi annual…

Q: What present value P amounts to $300,000 if it is invested at 5%, compounded semiannually, for 19…

A: PV  is Present value FV is Future value i.e. $300,000 r is Interest rate i.e. n is number of…

Q: With a present value of $110,000, what is the size of the withdrawals that can be made at the end of…

A: We need to use present value of ordinary annuity(payment due at end) formula to calculate the size…

Q: A series of equal quarterly payments of $5,000 for 10 years is equivalent to what future lump-sum…

A: The present value is the value of the sum received at time 0 or the current period. It is the value…

Q: 1. Calculate the present value of $8,000 receive five years from today if your investment pay a. 6…

A: Using excel PV function

Q: What is the present value of $1,552.90 due in 10 years at (1) a 12 percent discount rate and (2) a 6…

A: 1 2 FUTURE VALUE 1552.9 1552.9 DISCOUNT RATE 12% 6% YEARS 10 10 PMT 0 0   ANNUALLY…

Q: If $87,000 is invested in an annuity that earns 5.6%, compounded quarterly, what payments will it…

A: The interest rate is 5.6%, compounded quarterly. Interest rate per quarter is (5.6% ÷ 4) = 1.4%. The…

Q: A payment of $23,000 is due today. What three equal payments, one in 2 years, one in 4 years, and…

A: Given That: P.V=$23000 Payment is done in 3 equal payment Rate of interest= 4.25% Duration= 6 years…

Q: What is the principal that will grow to $2600 in four years, one month at 4 5% compounded annualy?…

A: present value formula: present value =future value1+rnwhere,r=rate of interestn = number of years

Q: What deposit made at the beginning of each month will accumulate to $120,000 at 8% compounded…

A: An annuity is the fixed payment that an investor receives from an investment or fixed deposits made…

Q: A payment of $2,690 was due two years ago, and a payment of $1,650 is due today. What single payment…

A: This question can be solved in light of time value of money and future value. The formula to…

Q: Fill in the table below when P= $9,000, S= $3,000 (at the end of four years), and i 12% per year.…

A: Here, P or Investment is $9,000 S or Salvage Value is $3,000  Time Period is 4 years MARR or i is…

Q: What is the future worth of the following seriesof payments?(a) $75,000 at the end of each six-month…

A: Present value is the sum of money that must be invested in order to achieve a specific future goal.…

Q: What is the future worth of each of the given series of payments?(a) $12,000 at the end of each…

A: a) The question gives the following information:

Present Value

Present value (PV) is defined as the current or present value of all future sums of cash flow or money at a specified rate of return. This rate of return is known as the discounted rate, which is essentially the interest rate, discounted over some time. The expected cash flows are discounted at a discount rate to compute the present value. The higher the discount rate, the higher the future value (FV), but the lower the present value.