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# Annuity

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### Calculating standard deviation, coefficient of variation, future value, present value, mortgage monthly payment...

Task is to understand how to solve each problem and to be able to explain the solution process used. Show all calculations, step by step, using Excel. Grade will depend on the quality of explanations. 7-1. Manager Paul Smith believes an investment project will have the following yearly cash flows with the associated probabil

### What is the accumulated sum of each of the following streams of payments?

What is the accumulated sum of each of the following streams of payments? a. \$500 a year for 10 years compounded annually at 5 percent b. \$100 a year for 5 years compounded annually at 10 percent c. \$35 a year for 7 years compounded annually at 7 percent d. \$25 a year for 3 years compounded annually at 2 percent

### Calculate the taxable amount for Herbert's annuity payments

Herbert purchased a 10 year annuity for \$96,000 late in 2008. The annuity will pay him \$4,000 per month for ten years starting on Sept 1, 2008. How much of the \$16,000 received this year will be taxable? A. 12,800 B. 16,000 C. 0 D. 3,200

### Time Value Money

1. Future Values. You deposit \$1,000 in your bank account. If the bank pays 4 percent simple interest, how much will you accumulate in your account after 10 years? What if the bank pays compound interest? How much of your earnings will be interest on interest? 2. Calculating Interest Rate. Find the annual interest rate. Pr

### Appier Company and Net Cash of Operations

*Appier Company reported net income of \$40,000 for the year ended December 31, 2003. During the year, inventories decreased by \$14,000, accounts payable decreased by \$16,000, depreciation expense was \$20,000 and a gain on disposal of equipment of \$13,000 was recorded. Net cash provided by operations in 2003 using the indirect

### Draw and time line depicting all of the cash flows associated with Sunrise's view of the retirement annuity. How large a sum must Sunrise accumulate by the end of year 12 to provide the 20 year, \$42,000 annuity?

Sunrise Industries wishes to accumulate funds to provide a retirement annuity for its vice president of research, Jill Moran. Ms. Moran, by contract, will retire at the end of exactly 12 years. Upon retirement, she is entitled to receive an annual end-of-year payment of \$42,000 for exactly 20 years. If she dies prior to end o

### Time Value of money

A) After a protracted legal case, Joe won a settlement that will pay him \$11,000 each year for the next ten years. If the market interest rates are currently 5%, exactly how much should the court invest today, assuming end of year payments, so there will be nothing left in the account after the final payment is made? B) Mary

### Compute the amount of each of these contributions assuming the interest rate is 8% compounded annually.

Use the following information in answering Cases 1 and 2 below. On January 1, 2001, Carr Company sold \$600,000 of 10% bonds, due January 1, 2011. Interest on these bonds is paid on July 1 and January 1 each year. According to the terms of the bond contract, Carr must establish a sinking fund for the retirement of the b

### Question about Annuity Problem

I would like assistance in setting up these two problems so I can go ahead and solve them. There are no examples in my text. a) A potential client asks you how much he would need to invest today (lump sum) to assure a \$35,000 annual supplemental 15-year annuity upon retirement in 20 years. The annuity payment would begin a

### Calculating Present Value of Cash Flow Stream

What is the present value of a cash flow stream of \$1,000.00 per year annually for 15 years that then grows at 4 percent per year forever when the discount rate is 13 percent?

### Cash budget; compound interest, PV, Compound annuity, PV of an annuity

Complete questions below. (Cash budget) The Sharpe Corporation's projected sales for the first eight months of 2004 are as follows: January \$ 90,000 February 120,000 March 135,000 April 240,000 May \$300,000 June 270,000 July 225,000 August 150,000 Of Sharpe's sales, 10 percent is for cash, another 60 per

### Annuity (monthly payments)

You are buying your first house for \$220,000. and are paying \$30,000 as a down payment. You have arranged to finance the balance of \$190,000 with a 30 year mortgage with a 8% nominal interest rate and monthly payments. What are the equal monthly payments you must make?

### Lump sum vs. annuity for your Uncle's employer pension plan

Your favorite uncle, having saved and lived frugally throughout his career, has retired at the age of 60. His former employer's pension plan has offered him the alternative of 1) receiving \$478 per month until his death, or 2) receiving a lump sum distribution of \$76,120. Lump sum payment under 2) would occur on the decision d

### Bond Issues and Present Value of Money

1. Limeway Company issues \$5,000,000, 6%, 5-year bonds dated January 1, 2007 on January 1, 2007. The bonds pay interest semiannually on June 30 and December 31. The bonds are issued to yield 5%. What are the proceeds from the bond issue? 2.5% 3% 5% 6% Present valu

### Financial Analysis Questions

Practice test questions 1) What are the key advantages common to LLPs and LLC. 2) If a stock is paying \$3.0 per year in dividends, and is expected to continue this indefinitely, with a required rate of return of 10% what is the value of the stock? 3)If you want to have \$600,000 for retirement in 20 years and have only

### Future Value and Required Annuity Payment

Question 1 Fine the future values of the following ordinary annuities: a. FV of \$400 each 6 months for 5 years at a nominal rate of 12%, compounded semiannually? b. Fine of \$200 each 3 months for 5 years at a nominal rate of 12%, compounded quarterly? c. The annuties described in parts a and b have the same amount of mone

### Need help

17. The basis for classifying assets as current or noncurrent is the period of time normally required by the accounting entity to convert cash invested in a. inventory back into cash, or 12 months, whichever is shorter. b. receivables back into cash, or 12 months, whichever is longer. c. t

### Time value of money

Your brother is 55 years old now and his current savings declined to \$500000 and he does not feel this is sufficient ,so he works for another 10 years to retire at age 65.He expects to live for another 20 years after he retires he wants to have \$100000 to live on each of the 20 years ,the first payment occuring at the time of re

### Time Value of Money Solution set

Using the appropriate interest table, provide the solution to each of the following four questions by computing the unknowns. a) What is the amount of the payments that Tom Brokaw must make at the end of each of 8 years to accumulate a fund of \$70,000 by the end of the eight year, if the fund earns 8% interest, compounded ann

### Present value of an annuity

What is the present value of the following annuities? 1.\$2,500 a year for 10 years discounted back to the present at 7 percent 2.\$70 a year for 3 years discounted back to the present at 3 percent 3.\$280 a year for 7 years discounted back to the present at 6 percent 4.\$500 a year for 10 years discounted back to the

### Future value of an annuity: streams of payment

What is the accumulated sum of each of the following streams of payments? 1. \$500 a year for 10 years compounded annually at 5 percent 2. \$100 a year for 5 years compounded annually at 10 percent 3. \$35 a year for 7 years compounded annually at 7 percent 4. \$25 a year for 3 years compounded annually at 2 percent

### Mortgage, Annuity and Return

1. A \$20,000 mortgage is to be paid by 180 equal monthly payments, each including some principal along with interest on the outstanding principal, at an effective rate of 3 1/2 per half year. What are the monthly payments? 2. An investor wants to purchase an annuity which will yield an income of \$2000 at the end of each year

### Financial Planning: Calculating Future Value of Savings

You have been asked to assist your friends with some personal financial planning. Following their current budget they find they are able to save approximately \$10,000 per year. They expect their investments to grow at a nominal rate of 8% and you expect inflation to remain at approximately 4% per year. Your friends expect to

### Compute cost of computer and amount of each payment

Norris is presently leasing a small business computer from Stark office equipment co. the lease requires 10 annual payments of \$3,500 at the end of each year and provides the lessor (stark) with an 8% return on its investment. You may use the following 8% interest factor: 9 periods 10 periods

### Present Value of Annuity..

Suppose you are to receive a stream of annual payments (also called an "annuity") of \$9000 every year for 3 years starting this year. This discount rate is 6%. What is the present value of these three payments? Show all your steps and demonstrate a good understanding.

### Effective annual rate (EAR) for investment choices

You have found three investment choices for a one-year deposit: 10% APR compounded monthly, 10% APR compounded annually, and 9% APR compounded daily. Compute the Effective Annual Rate (EAR) for each investment choice. (Assume that there are 365 days in the year). Please show in Excel.

### What is current stock price?

The Peoples company's last dividend was \$1.75. The dividend growth rate is expected to be constant qt 1.50% for 2 years, after which dividends are expected to grow at a rate of 8% forever. People's required return is 12%. What is People's current stock price?

### Present Value Estimated Retaining Life

Please see attached file. You own a paid up, older car with an estimated remaining life of 3 years. You would like to replace this car with a new one, which you intend to trade in after 3 years. Is this purchase justified given the following information: First cost of OLD CAR zero First cost of NEW CAR \$7500 Annual ins

### Equivalent Annual Cost

Ambuja University must purchase word processors that cost INR 8,000 each and have annual, year-end maintenance costs of INR 2,000 per machine. The EVF word processors will be replaced at the end of year 4 and have no value at that time. Alternatively, Ambuja can buy 11 AEH word processors to accomplish the same work. The AEH w

### Calculating Future Value of Savings and Its Worth Today

You have been asked to assist your friends with some personal financial planning. Following their current budget they find they are able to save approximately \$10,000 per year. They expect their investments to grow at a nominal rate of 8% and you expect inflation to remain at approximately 4% per year. Your friends expect to ret