We are funding an organization for ten years. The first payment will be made one year from today (end of year one) and will be $8,350. Each year after that, the organization will receive payment from us annually. The payment will increase at a rate of 2% per year after the second payment. If the annual interest rate is 15%, what is the present value of this endowment?

Q: I receive $10,000 a year in perpetuity. The original investment was $100,000. What is my rate of…

A: The perpetuity is reflection of stream of cash flows which will be continuing forever. The…

Q: What is the annually compounded interest rate for the fund during the final 30 years?

A:

Q: Manatee Corporation wants to withdraw $500,000 (including principal) from an investment fund at the…

A: Present Value Given a certain rate of return, the present value (PV) of a future amount of money or…

Q: Find the present value of a perpetuity that pays $2,000 per year and the interest rate is 10%.

A: We are given following details : Annual cash flow in perpetuity = $2000 Interest rate = 10% We need…

Q: A loan of $50,000 is due 10 years from today. The borrower wants to make monthly payments at the end…

A: The payments made constantly without any uneven time gap are called annuity where nominal amount for…

Q: A company wants to accumulate a sum of money to repay certain debts due in the future. The company…

A: To calculate the future value of a series of cash flows, you can use the future value of an annuity…

Q: GHA Co. made an investment of $10,000 and from this it will receive $800 annually for the next 18…

A: The present value of the annuity factor is used when there is an equal series of cash flows and the…

Q: Beginning next year, a foundation will support an annual seminar on campus by using the interest…

A: Time, value of money refers to a concept used for estimating the present value of an asset that will…

Q: a. A pension fund has to pay out $750,000 to the retirees at the end of every month for the next 50…

A: Time value of money (TVM) refers to the method or concept which is used to determine the amount of…

Q: Suppose a state lottery prize of $6 million is to be paid in 10 payments of $600,000 each at the end…

A: Time = 10 years Payment = p = $600,000 Interest rate = r = 11%

Q: If a donation of $100,000 is expected to pay out scholarships of $10,000 every year and the funds…

A: Here, to calculate time period we have to use the compound interest formula .   A = P 1+r100n…

Q: In five years, P18,000 will be needed to pay for a building renovation. In order to generate this…

A: A sinking fund refers to the money that is kept it aside in an account for paying the value of debt…

Q: (Present value of a growing perpetuity) As a result of winning the Gates Energy Innovation Award,…

A: The objective of this question is to calculate the present value of a growing perpetuity. A…

Q: A foundation announces that it will be offering one CUHK (SZ) scholarship every year for an…

A: Net present value refers to the method of capital budgeting used for estimating the viability of the…

Q: For a project lasting for 7 years, there are two expenses: the first one which is paid at the end of…

A: The question is to calculate present value of expected cash flows in form of annuity with growth…

Q: PNC's 30-year annuity is scheduled to pay off a loan taken out today at a 5% annual effective…

A: given, year (n) = 30 rate = 5% first annuity at t=10, amount= $10,000 then annuity increase by $5000…

Q: You are assigned with building a laboratory. Construction and equipment will cost you $1 million…

A: The perpetuity refers to the series of regular payments and receipts that last forever. The present…

Q: As a result of winning the Gates Energy Innovation​ Award, you are awarded a growing perpetuity. The…

A: In the financial system, perpetuity refers to a situation in which a stream of cash flow payments…

Q: A local Dunkin’ Donuts franchise must buy a new piece of equipment in 4 years that will cost…

A: Future value required (FV) = $81000 Interest rate = 16% Quarterly interest rate (r) = 16%/4 = 4%…

Q: At 2% interest per year, what was the initial endowment amount (PW) that would permit $1 million…

A: Perpetuity refers to the instrument that pays a fixed annual interest payment to the holder…

Q: How much money do you need now to set up a perpetuity that pays $2,000 at the end of each quarter if…

A: In finance, there are two types of series of cash flows, i.e., an annuity, and perpetuity. An…

Q: A health clinic invests $578,467 in an endowment fund to support its community health program. They…

A: The future value is the formula used to evaluate the future value of today’s $1. It is calculated by…

Q: An investment company wants to establish a sinking fund to pay off debts of $85 million which come…

A: Formulas: Future value = amount*((1+rate)^years - 1) / Rate

Q: A person is offered a gift of $5,000 now or $8,000 five years from now. If such funds could be…

A: Present value is an estimate of the present value of future cash flows received, discounted at an…

Q: Your company wants to create a scholarship program that will cost $17,000 dollars a year. They will…

A: To calculate the investment amount required today we will use the below formula   Investment amount…

Q: A construction equipment with no salvage is to be replaced at the end of 12 years from now at a cost…

A: The replacement value of machine (i.e., 800,000) is the future value of annuity at 15% compounded…

Q: XYZ plans to construct an additional building at the end of 10 years for an estimated cost of…

A: The concept of time value of money will be used here in this case to solve the question. The annual…

Q: You need $150,000 at the end of the 20th year. You are thinking about two ways of saving the money.…

A: Solution:- When an amount is deposited somewhere, it earns interest on it. The amount initially…

Q: (Present value of a growing perpetuity) As a result of winning the Gates Energy Innovation Award,…

A: First payment = $10,000Growth rate = 6%Interest rate = 11%

Q: A fund is to be created which pays out a scholarship of £7,000 every year in perpetuity. The first…

A: Perpetuity are funds that are paid over the whole life period of annuities. Value of perpetuity is…

Q: Assume a discount rate of 9% and annual compounding. How much must you set aside today to fund the…

A: Information Provided: Grant amount = $1303.14 Growth rate = 3% Discount rate = 9%

Q: Leberland Corporation deposits $100,000 every year in a savings account (beginning at the end of the…

A: The objective of this question is to calculate the future value of an ordinary annuity. An ordinary…

Q: You deposit 20,000 today into a fund paying (i)=8%. From this fund, you receive 10 payments of R,…

A: Computation of R:

Q: The Stinch Fertilizer Corporation wants to accumulate $8,000,000 for plant expansion. The funds are…

A: Required annual amount refers to the amount required to be deposited at regular intervals. For this…

Q: The PUR Foundation deposits $2,500,000 today in a fund earning 6% APR compounded monthly.  What will…

A: Deposit Amount (PV) is $2,500,000 Interest Rate (r) is 6% Time Period (n) is 10 years  Compounding…

Q: Tuck Hardware Store will have $30,000 payment due in 5 years. How much would they need to invest…

A: Computation:

Q: To provide for the automation of a production process in five years, Dominion Chemicals is starting…

A: A fund that is created to repay a debt or replacement of an asset by putting an equal sum of amount…

Q: What is the fair value of the grant payments according to the Financial Accounting Standards Board…

A: Fair value means the price which we have to pay for purchasing a particular item in the normal…