The future worth in year 10 of an arithmetic gradient cash flow series for years 1 through 10 is $500,000. If the gradient increase each year, G, is $3,000, determine the cash flow in year 1 at an interest rate of 10% per year.

Q: Calculate the future value when P = P5,000, r = 11%  compounded monthly, and t = 8 years.…

A: Given: P=5000 r=11% T= 8 years The formula to calculate the total value compounded monthly is…

Q: a. Annual payments of 8,000 for 12 years that will start 7 years from now. b. Quarterly payments of…

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Q: If you borrow (P) $7,000 at an interest rate of 12% per year compounded semiannually, with the…

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Q: 1. Suppose that you borrow $10,000 for four years at 8% toward the purchase of a car. Find the…

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Q: If lottery winnings of Q are invested now at an interest rate of 9%, how much is available to help…

A: If lottery winnings of Q are invested now at an interest rate of 9%, how much is available to help…

Q: Suppose that a 20-year government bond has a maturity value of $1000 and a coupon rate of 9%, with…

A: For 20 years, the government bond has a mutual value of $1,000 at a coupon rate of 9%…

Q: what is the price of the stock?

A: Dividend growth model Dividend growth model is a valuation model, that calculates the fair value of…

Q: Consider the cash flow transactions depicted in the accompanying cash flow diagram with the changing…

A: The answer is attached below,

Q: A continuous annuity with withdrawal rate N = $500 $ 500/year and interest rate r = 5% is funded by…

A: Given: Withdrawn is N=$500 Interest Rate (r)=5%=0.05 Initial deposit is P=$7000

Q: A payment of $16,000 is due in 1 year and $10,900 is due in 2 years. What two equal payments, one in…

A: A payment of $16,000 is due in 1 year and $10,900 is due in 2 years

Q: A child’s grandparents are considering buying a $40,000 face-value, zero-coupon bond at birth so…

A: A child’s grandparents are considering buying a $40,000 face-value, zero-coupon bond at birth so…

Q: suppose a state lottery prize of $3 million is to be paid in 20 payments of %150000 each at the end…

A: Explanation of the solution is given below...

Q: Find the present value of the decreasing annuity necessary to fund a withdrawal of $1,500 per…

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Q: Although each payment is the same, with each successive payment the interest portion and the portion…

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Q: Scheduled loan payments of $598 due in 9 months and $1283 due in 24 months are rescheduled as a…

A: Given, First face value=$598Time=9 monthsSecond face value=$1283Time=24 months Then, All the…

Q: How much money must be invested now at 9% per year, compounded semiannually, to fund an annuity of…

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Q: 3. What is the present equivalent of a uniform series of annual payments of 53,500 each for five…

A: topic - sum of geometric progression

Q: Example 2.13: An anmuity-immediate consists of a first payment of $100, with subsequent payments…

A: Given: The first payment is $100 Increase in subsequent payment=10% The effective rate of interest…

Q: According to Descartes’ rule of signs, the possible number of rate of return values for the net cash…

A: Descartes’ rule of signs states that number of real number roots is always less or equal to number…

Q: The following table shows annual rates for various types of loans in 2015. Assume monthly payments…

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Q: A payment of $13,000 is due in 1 year and $11,600 is due in 2 years. What two equal payments, one in…

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Q: If an amount of $1735 is borrowed at a simple-interest rate of 4% for 6 years. Then the…

A: As we know that the expression for the simple interest is:   Simple Interest=PRT   Where,…

Q: How long will it take ​$4,000 to grow to ​$19,000 if it is invested at 5​% compounded​ monthly?…

A: Formulae for compound interest = A=P(1+rn)nt  Where, A=final amount              P=initial principal…

Q: Question 12 Find the present value of an ordinary annuity which has deposits of $10,279…

A: We have to find present value.

Q: Problem 4: What end-of-month deposits for the first six months should Joshua have if he is planning…

A: Given that, The equal amount Joshua is planning to withdraw for the tenth, eleventh and twelfth…

Q: Calculate, to the nearest cent, the future value FV of an investment of $10,000 at the stated…

A: Given  Present value( initial investment)= $10000 Let interest rate on investment will be 1% annual…

Q: Find the future value for each of the following scenarios, where m is the periodic deposit…

A: The future value when compounded annually is calculated as, F=P1+in=2751+0.06810=530.9≈$531 The…

Q: The Jackson Five has chosen to invest in an orphanage for misplaced foundlings like Annie, and they…

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Q: Suppose that an insurance agent offers you a policy that will provide you with a yearly income of…

A: FV=PV*(1+i)n where FV= the future value, PV=the present value, i=the interest rate and n= the number…

Q: A debt of RM1200 due in four years and RM1000 due in six years is to be repaid by a payment of…

A: A debt of RM1200 due in four years and RM1000 due in six years isto be repaid by a payment of RM1000…

Q: For a certain multi-state lottery the prize was $21,600,000 that was paid out over 30 years with…

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Q: Debt payments of $1,600 and $1,850 are due in five months and nine months, respectively. What single…

A: Given that debt payment of $1,600 and $1,850 are due in 5 months and 9 months respectively. And…

Q: $6000 A 2 3 4 6. 8 i=10% 9 10 11 12 28 29 30Years P= ? LO

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Q: Suppose you are offered a job with a relatively low starting salary but with a $3000 raise for each…

A: Given  $3000 raise for each of the next 9 years

Q: 5) a. Suppose that you have a plan to pay RO B as an annuity at the end of each month for 4 years in…

A: Solution :- (a) Given, Anuity payment for each period (P) =$ 992 Discount rate or interest rate (r)…

Q: If a certain present value P is amortized into 10 equal payments, then the future worth F will…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: E. The Future worth at the end of the 4 years (FW4) of the four $2000 annual payment paid at the…

A: Please refer to the image below t

Q: A person wants to deposit $30,000 per year for 15 years. If interest is eamed at the rate of 16% per…

A: Given information: P=30,000 T=15 year R=16% Consider P is the principle, T is the time, R is the…

Q: a. Annual payments of 8,000 for 12 years that will start 7 years from now. b. Quarterly payments of…

A: Given : (a) Annual payment of 8000 for 12 years that will start 7 years from now (b) Quartely…

Q: Consider each of the after-tax cash flows shown in the table below. Suppose that projects B and C…

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Q: Payment of $882 due 1 month ago and $498 due today are to be repaid by a payment of $400 one month…

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Q: For the cash flows shown in the diagram, determine the value of x and 2x that will make the future…

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Q: Find the future values of the following ordinary annuities. FV of $400 each 6months for 5 years at…

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Q: A continuous annuity with withdrawal rate N = $600/year and interest rate r = 4% is funded by an…

A: NOTE: Refresh your page if you can't see any equations. . here we have  PMT=600 r=4%=0.04 L=11000

Q: Find the cost of each item in five years, assuming a constant inflation rate of 9% A.) A cup of…

A: First we will develop a model to calculate cost in five years  Inflation rate = 9% So let original…