A lottery offers you a choice of $1,000,000 per year for 30 years or a lump-sum payment. What lump-sum payment (rounded to the nearest dollar) would equal the annual payments if the current interest rate is 1.9% compounded annually? (a) State the type. A. amortization B. present value of an ordinary annuity    C. future value of an ordinary annuity D.sinking fund E. none of these (b) Answer the question. (Round your answer to the nearest dollar.)

Q: You win a 1.8 million dollar lottery prize. You have a choice between recieving the winnings through…

A: Here,Lottery Prize is $1,800,000Time Period is 20 yearsAnnual Interest Rate is 4.4%

Q: Present value of an annuity Determine the present value of $200,000 to be received at the end of…

A: The present value is the worth of cash flows at the present time computed on the basis of a given…

Q: Suppose you just won the state lottery, and you have a choice between receiving $3,550,000 today or…

A: Choice-1 Amount to receive today is $3,550,000 Choice -2 Annuity amount is $250,000 Time period is…

Q: What semiannual sinking fund payment would be required to yield $47,000 seven years from now? The…

A: Sinking fund (SF) is an account in which a fixed amount is deposited periodically and interest is…

Q: 2. Present Value and Multiple Cash Flows Investment X offers to pay you $5,300 per year for eight…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If you put up 23,000 today in exchange for a 6 percent, 10-year annuity, what will the annual cash…

A: Invested Amount = $ 23000Interest Rate = 6% Compounded AnnuallyPeriod = 10 YearsAnnual Cash Flow = ?

Q: Find the future values of these ordinary annuities. Compounding occurs once a year. Round your…

A: Formulas:

Q: lottery winner has a decision between a lump sum of $1,000,000 or a 20 year annuity of $100,000 paid…

A: The PV of the investment refers to the accumulated value of the discounted cash flows of the…

Q: Suppose a state lottery prize is to be paid in 25 payments of $360,000 each at the end of each of…

A: Annuity refers to the periodic payment or receipt of cash flow. The annuity period usually…

Q: Sebastopol Movie Theater will need $180,000 in 3 years to replace the seats. What deposit should be…

A: Future Value  $          1,80,000.00 Time Period 3 Interest Rate 0.80%

Q: NPV Simes Innovations, Inc., is negotiating to purchase exclusive rights to manufacture and market a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: What is the present value of a 3 year, $3,000 per year annuity at 3 percent? Select one: a. $8,590…

A: The present value of an annuity is the current value of a series of equal payments to be made or…

Q: If you invest $9,700 per period for the following number of periods, how much would you have…

A: aWe can solve this using Future value of annuity formula Future value is = P*((1+r)^n-1)/r "P" is…

Q: 1.Compute the present value of an annuity of $503 per year for 18 years, given a discount rate of 8…

A: The present value of money is a financial concept that refers to the current worth of a future sum…

Q: Using ume value of money tables, calculate the following. (Exhibit 1-A, Exhibit 1-B, Exhibit 1-C.,…

A: As per Bartleby guidelines, if multiple subparts are given. So, we are eligible to do only the first…

Q: You deposited $8,300 in a savings account. The account will earn 8 percent annual compound interest,…

A: Interest: It can be defined as the amount that is charged by the lender on the amount lent to the…

Q: 2) Fund X earns i(12) = 6% interest, while Fund Y earns i(12) = 3% interest (and both start off with…

A: in this problem you have to calculate monthly interest and calculate future value of that.

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

A: The annuity payout provides information that with the regular withdrawals, what would be the…

Q: Which TVM formula could you use to calculate how much you would need to have saved at retirement to…

A: The time value of money refers to the concept which describes the money present today as more…

Q: Calculate the present value of a $10000 lottery payment for today, and two annual future payments,…

A: We need to use present value formula given below to calculate present value of future payments…

Q: What's the present value of a perpetuity

A: Perpetuity means a series of equal infinite cashflows, that occur at end of each period with…

Q: FUTURE VALUE OF AN ANNUITY Find the future values of these ordinary annuities. Compounding occurs…

A: Future Value of Ordinary Annuity = Payment * ((1 + Interest Rate)^time - 1) / Interest RateFuture…

Q: ancial planner offers you two different investment plans. Plan X is an annual perpetuity of $12,000…

A: Perpetuity is annuity where there are payments forever and payment continue forever and other…

Q: (Present value of an annuity) What is the present value of the following annuities? a. $2,400 a year…

A: Present value of annuity is calculated by discounting all the future cash flows at a given discount…

Q: Solve by using the sinking fund or amortization formula. (Round your answer to the nearest cent.)…

A: The question asked to compute the sing king fund payment.   Future value: Future value refers to the…

Q: A 6-year term insurance policy has an annual premium of $500, and at the end of 6 years, all…

A: Given: Number of years "n" = 6 Annual Premium "PMT" = $500 Interest rate = 2.5% compounded annually…

Q: (Present value of a perpetuity) At a discount rate of 6.50%, find the present value of a perpetual…

A: Step 1:i) Perpetuity Payment per year = $2,000Discount rate = 6.50%Calculating the Present Value of…

Q: What discount rate would make you indifferent between receiving $3,515.00 per year forever and…

A: The present value of perpetuity can be calculated by The present value of annuity can be calculated…

Q: epay a loan over five years with the following stream of cash payments: $1,000; $1,100; $1,250;…

A: Annuity is one uniform constant payments to be received or to be paid over the period of payments,

Q: How much would you accept in a lump sum today, in place of a lottery payment of $35,000 at the end…

A: Formula:

Q: Investment X offers to pay you $4,800 per year for 9 years, whereas Investment Y offers to pay you…

A: With a certain rate of return, present value (PV) is the current worth of a future financial asset…

Q: Acompany is considering an investment of $538,000 in a land development project. The investment will…

A: NPV or net present value is an important capital budgeting tool. It is the sum of present values of…

Q: he $37.7 million lottery payment that you just won actually pays $2.9 million per year for 13 years.…

A: Present value is current value of future cash flow discounted at an appropriate discount rate; in…

Q: Solve by using the sinking fund or amortization formula. (Round your answer to the nearest cent.)…

A: The concept of time value of money states that the current worth of money is more than its value in…

Q: An individual wins a lottery prize of £3,000 payable every 6 months in arrears for 10 years. What is…

A: Present value is the current value of a future sum of money or stream of cash flows given a…

Q: Dhofar Insurance Company has made an investment in another company that will guarantee it a cash…

A: Given information: Cash flows: OMR 37,250 Discount rate : 15% Time period : 5 years

Q: Investment X offers to pay you $5,300 per year for eight years, whereas Investment Y offers to pay…

A: To determine the present value of a future recurring payment (PMT), Excel's PV function should be…

Q: A $1,000,000 lottery prize pays $50,000 per year for the next 20 years. If the current rate of…

A: The value of the lottery prize today is calculated as present value of annuity

Q: A 6-year term insurance policy has an annual premium of $500, and at the end of 6 years, all…

A: In case of a term insurance policy we pay annual premiums.The premium is a stream of fixed and…

Q: 3: A lottery winner has a decision between a lump sum of $1,000,000 or a 20 year annuity of $100,000…

A: The lump sum amount is $1,000,000. The annual payment is $100,000. The rate of interest is 5%. The…

Q: An accounting firm agrees to purchase a computer for $180,000 (cash on delivery) and the delivery…

A: An annuity refers to a financial product or arrangement in which a series of fixed payments or…

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.