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# Annuity

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### Calculating the quarterly installment of a car loan

You need to borrow \$65,000 for a new car. The annual interest rate is 12%, compounded quarterly. You will be making quarterly payments for three years. 1. What is your quarterly payment? 2. How much will you owe on the loan after you make the first payment? 3. How much will you owe on the loan after you make the 2nd paym

### Present Value to Be Paid

Using a present value table, your calculator, or a computer program present value function, answer the following questions: a) What is the present value of nine annual cash payments of \$4,000, to be paid at the end of each year using an interest rate of 6%? b) What is the present value of \$15,000 to be paid at the end of 20

### Compound rate: Deposits at beginning or end of the year

If the business manager deposits \$200 in a savings account at the end of each year for twenty years what will be the value of her investment: a) At a compounded rate of 10%? b) At a compounded rate of 20%? c) What would the outcome be if the deposits were made at the beginning of each year?

### Bonds - Holding Period Yield

Your boss has again asked for your help. He needs to figure out the holding period yield on a candidate bond for inclusion in a pension bond portfolio and whether your company should purchase it. He has left a note on your desk: We are considering purchasing a 7% percent coupon bond (coupons paid semiannually) with 14 years rem

### Loan, Corporate, Time Value of Money Questions

1. A \$50,000 loan is to be amortized over 7 years, with annual end-of-year payments. Which of these statements is CORRECT? The annual payments would be larger if the interest rate were lower. If the loan were amortized over 10 years rather than 7 years, and if the interest rate were the same in either case, th

### Separation of ownership and management, shareholder goals, bonds, interest

Problem 1-6: In most large corporations, ownership and management are separated. What are the main implications of this separation? Problem 1-8: We can imagine the financial manager doing several things on behalf of the firm's stockholders. For example, the manager might:

### Finance Calculations using Excel: Future Value and Present Value

1. You want to buy a car, and a local bank will lend you \$ 20,000. The loan would be fully amortized over 5 years ( 60 months), and the nominal interest rate would be 12%, with interest paid monthly. What is the monthly loan payment? What is the loan's EFF%? 2. Your parents will retire in 15 years. They currently have \$ 230,000

### Calculating the periodic amounts

1. Lily Henry wants to buy her son a car for his 21st birthday. If Lily's son is turning 16 today, and interest is 8% per annum, compounded semiannually, what would Lily's semiannual investment need to be if the car will cost \$30,000 and the first payment is made six months from today? 2. Determine the amount of the specific

### Assorted problems in Finance

1. Jane Alexander currently has \$,7,750 in a money market account paying 7.25% annually. She plans to use this amount and her savings over the next 5 years to make a down payment on a house. She estimates that she will need \$20,000 in 5 years. How much should she invest in the money market account semi-annually over the next 5 y

### Present Value Problem Set: Annuities

Find: - the present value of \$300,000 annuity at 6% for 20 years - the present value of \$500,000 deferred annuity at 6% for 20 (21-40) years - the present value of 50,000 annuity at 6% for 40 years - the present value of 75 million paid at the end of 40 years - the present value of 300,000 annuity at 11% for 20 years - th

### Arroyo Fresco Case Study

Analyze the organization and develop a new organizational strategy for the Arroyo Fresco Community Health Center. The strategy should be formulated using the information from the case study, including an analysis of the results, and should take into account current concerns including health care reform, the political environment

### What would the monthly payment be if the first payment is due at the end of the month?

You want to buy a new car for \$20,000, and the finance office at the dealership has quoted you a 9% APR loan for 60 months to buy the car, and your trade-in allowance is \$5,000. What will your monthly payment be if the first payment is due at the end of the month?

### Finance: Low-Risk Account at Fidelity.

Mary wants to invest \$12,000 per year at the end of each year in a low- risk acount at Fidelity. She expects to earn 6% for 35 years. What will her retirement account be worth at the end of the 35 years?

### Future value of single sum

1.) You put \$5,000 in an investment account today which will earn 6% over the next 11 years, what is the future value? 2.) You put \$2,000 in an investment account today which will earn 8% over the next 14 years, what is the future value? 3.) You deposit \$5,000 into a retirement account at the end of the next 15 years earni

### Present and future value of single sum, perpetuity, and present value of annuity

1. Present value of single sum problem You are going to be given \$100,000 in 12 years. Assuming an inflation rate of 3.5%, what is the present value of this amount? 2. Perpetuity problem What is the value of a perpetuity with an annual payment of \$100 and a discount rate of 6%? 3. Future value of single sum problem

### Annuity with missing payments during summer

You went into your local credit union to secure a loan. You needed \$15,000 and since you just started teaching, you did not want payments during the summer months. Your loan will be \$15,000 paid over two years starting in January omitting the months of June, July and August each year of the loan . What will be the monthly payme

### Calculating Present and Future Value

ASSIGNMENT 1 The objectives of this assignment are: i. Determine the present value solutions to period, interest, and payments. ii. Calculate the future value solutions for period, interest, and payments. iii. Determine the answers relating to annuity, perpetuities, and annuity due problems. iv. You must submit your backup

### PVs of Cash Flow

Explain whether this is true or false and indicate why: "To find the present value of an uneven series of cash flows, you might find the PVs of the individual cash flows and then sum them. Annuity procedures can never be of use, even if some of the cash flows constitute an annuity (for example, \$100 cash for Years 3, 4, 5, an

### The Functioning of Annuities and Perpetuities

Compare and contrast the functioning of annuities and perpetuities.

### What is the issue price of the bonds?

On January 1, 2014, Marino Corporation issued eight year bonds with a face value of \$5,000,000 and a stated interest rate of 6%, payable semiannually on June 30 and December 31. The bonds were sold to yield 8%. Table values are: Present value of 1 for 8 periods at 6%...................................... .627 Present value o

### Concepts of the Time Value of Money

Define and discuss the importance of the following time value of money concepts including compounding (future value), discounting (present value) and annuities. Why do organization leaders need to understand these concepts?

### Calculating the Future Value of an Annuity Over Time

a. If you invested 10,000 in a CD (Certificate of Deposit) paying you five percent per year, what would be the value of your CD at the end of five years? b. If you won \$250,000 today and invested all of it in a security that paid a eight percent rate of return, how much would you have in 20 years? c. If you bought a new home t

### Calculating Annuity

You are 35 and you want to retire in 30 years and be able to withdraw \$50,000 for each year in retirement. You expect to live to the age of 85. How much do you need to invest at 9.5% each year?

### Rate of Return of an Annuity: Your Uncle's Offer

Assume that you own an annuity that will pay you \$15,000 per year for 12 years, with the first payment being made today. You need money today to start a new business, and your uncle offers to give you \$120,000 for the annuity. If you sell it, what rate of return would your uncle earn on his investment? A. 6.85 % B. 7.21% C.

### Time Value of Money: Annuity Cash Flows

Answer the following questions and complete the following problems, as applicable. Unless otherwise directed, assume annual compounding periods in computational problems. You may solve the following problems algebraically, or you may use a financial calculator or Excel spreadsheet. If you choose to solve the problems algebrai

### Brian Robinson, Sam Gerhard, Cory Ponder, tony Jones, Echo Systems: bonds, stocks, payments, PV needed, Retiring.

Problem 1: Brian Robinson plans to to retire in exactly 35 years. His goal is to create a fund that will allow him to receive \$85,000 at the end of each year for the 30 years between retirement and death. You know that you will be able to earn 11% per year during the 30-year retirement period. a. How much will you need today

### Evaluate the given settlement offers.

You are considering three insurance settlement offers. The first offer includes annual payments of \$5,000, \$10,000, \$15,000, etc., where the payment for each year is \$5,000 more than the payment for the previous year, over the next ten years. The first payment of \$5,000 will be made exactly one year from today and the last payme

### Single Page Case Study: Lisa Aham, Manager of a McDonald's Restaurant

After evaluating Lisa's current strategy regarding senior citizen market, would this strategy improve this particular McDonald's image? what would Lisa do about the senior market - i.e. should she encourage, ignore, or discourage her seniors? What should she do about the bingo idea? An explanation of all this would help in fi

### Regional CEO's question about reducing employee costs

Assuming that I am the assistant manager my role is to deal with HR issues that arise routinely in the workplace. I must deal with the following issue: e-mail was sent to me from the Region's Chief Executive Officer (CEO), who is looking for ways to reduce employee costs. The key comments in the memo included: Nearly 40%

### Debentures - Yield to Maturity and Yield to Call

6. BCC has issued 8? percent debentures that will mature on July 15, 2030. Assume that interest is paid and compounded annually. If an investor purchased a \$1,000 denomination bond for \$1,025 on July 15, 2010, determine the bond's yield to maturity. Explain why an investor would be willing to pay \$1,025 for a bond that is going