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Could someone please help me solve the finance problems, I do not understand any of them please help me Thanks in advance!!?

Question 2

Find the present value of $2,800 under each of the following rates and periods.

(If you solve this problem with algebra round intermediate calculations to 6 decimal places, in all cases round your final answer to the nearest penny.)

a. 8.9 percent compounded monthly for five years.

Present value $

b. 6.6 percent compounded quarterly for eight years.

Present value $

c. 4.3 percent compounded daily for four years.

Present value $

d. 5.7 percent compounded continuously for three years.

Present value $

Question 3

Trigen Corp. management will invest cash flows of $995,874, $1,295,960, $984,064, $818,400, $1,239,644, and $1,617,848 in research and development over the next six years. If the appropriate interest rate is 8.69 percent, what is the future value of these investment cash flows six years from today? (Round answer to 2 decimal places, e.g. 15.25.)

Question 4

You wrote a piece of software that does a better job of allowing computers to network than any other program designed for this purpose. A large networking company wants to incorporate your software into their systems and is offering to pay you $521,000 today, plus $521,000 at the end of each of the following six years for permission to do this. If the appropriate interest rate is 8 percent, what is the present value of the cash flow stream that the company is offering you? (Round answer to the nearest whole dollar, e.g. 5,275.)

Present value $

1 Answer

Relevance
  • 7 years ago
    Favorite Answer

    Present Value "PV" = Future Value "FV" / ( 1 + r)^n, where r is in decimal form

    ...you will need to find the periodic r, and the total n

    a. 8.9 percent compounded monthly for five years.

    Present value $

    r = 0.089/12 months = = 0.007417

    n = 5 yrs x 12 months per year = 60

    PV = 2800 / (1.007417^60)

    = 2800 / 1.557961

    = $1,792.22

    b. 6.6 percent compounded quarterly for eight years.

    Present value $

    r = 0.066 / 4 = 0.016500

    n = 8 x 4 = 32

    PV = 2800 / 1.016500^32

    c. 4.3 percent compounded daily for four years.

    Present value $

    r = 0.043 / 365 = 0.000118

    n = 365 x 4 = 1,460

    you can DO this! just follow the formula

    d. 5.7 percent compounded continuously for three years.

    Present value $

    continuous compounding gets a little tricky

    PV = P / e^(r*t), just remember "Pert", where * means multiply, and t = time, P = principal, e is a constant for continuous compounding equivalent to 2.718282 <since you've been asked to round to 6 places...

    PV = 2800 / 2.718282^(0.057*3)

    = 2800 / 1.186491

    = $2,359.90 rounded to 2 decimal places

    Question 3

    Trigen Corp. management will invest cash flows of $995,874, $1,295,960, $984,064, $818,400, $1,239,644, and $1,617,848 in research and development over the next six years. If the appropriate interest rate is 8.69 percent, what is the future value of these investment cash flows six years from today? (Round answer to 2 decimal places, e.g. 15.25.)

    FV = PV(1 + r)^n

    Assuming that the investments are made at the beginning of each year...

    the first cash flow "CF" will be invested for 6 years, the second CF for 5 years, the third for 4 years and so on...

    FV of CF 1 = $995,874(1.0869^6)

    FV CF2 = CF2(1.0869^5)

    FV CF3 = CF3(1.0869^4)

    FV CF4 = CF4(1.0869^3)

    FV CF5 = CF5(1.0869^2)

    FV CF6 = CF6(1.0869)

    then add them all up

    Question 4...$521,000 today, plus $521,000 at the end of each of the following six years for permission to do this. If the appropriate interest rate is 8 percent, what is the present value of the cash flow stream

    it is 521,000 + the PV of the ordinary annuity...

    PVoa = PMT[(1 - ( 1 / (1 + r)^n)) / r]

    = 521,000[(1 - (1 / 1.08^6)) / 0.08]

    = 521k[(1 - (1 / 1.58674)) / 0.08]

    = 521k[(1 - 0.63017) / 0.08]

    = 521k[4.62288]

    = $2,408,520.305, add the $521k paid "today" and round = $2,929,520

    FYI - I didn't round any intermediate numbers, my calculator "remembers" all the digits after the decimal.

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