Interest Annuities Example 7

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Comments

  1. for the last question was lost because i dont have the question nor table……but over all its clearer

  2. An Investor Is to recieve annuity of $19260 for six year commencing at end of year 1 it has a present value of $86400.
    what is a rate of intrest??
    Answer with The Manual Calculation OF Rate OF intrest Without Using Table

  3. hi guys pliz hlp me on this que. dont know how to solve it.

    Mr Mannaton has recently won a competition where he has the choice between receiving $5000 now or an annual amount forever starting now. (ie a level perpertuity starting immediately). the interest rate is 8% per annum. what would be the value of perpetuity to the nearest $?

    • Hi there

      the perpertual annuity formula that i know is P = R over i where P is Present value and the R is payments and i is the interest. Now i think we can play with mathematics here and say since we know the present value we can multiply it by the interest to get the R which is the payments value $ 5000 x 0.08 = $400
      so $400 will be the monthly payments to be recieved indefinitely

      • Not quite.
        The question says that the perpetuity starts immediately – i.e. the first receipt is at time 0 (or now).

        So…..if x is the amount per annum, then (5000 – x ).0.08 = x
        400 – 0.08x = x
        400 = 1.08x
        So x = 400 / 1.08 = 370.38 p.a.

  4. from my calculations it is 15 yrs time and not 14 please double check your arithmetic and let me know if i am right or wrong

    • @accakeisha, I am not sure which example you are referring to – there are many in this lecture.
      If you mean the one that says $5,000 is first received in 3 years time, and that there are 12 receipts in total, then my arithmetic is correct!
      The first receipt is in 3 year, the second in 4 years, the third in 5 years….if you carry on the the 12th receipt is in 14 years time.

  5. Why its the the OT F2 Notes beck answer for question 8 is different of what sir have explained? Its printing mistakes right?

  6. why is it 14 years less 2. thanks Teacher you are the best

    • @claudette, it is because we want the total factor for years 3 to 14 inclusive.

      The 14 year factor gives the total for years 1 to 14, so we need to take off the total for years 1 and 2 (the 2 year annuity factor) to be left with the total for 3 to 14.

  7. is the Fisher’s Price Index equally important as the above???

  8. it’s very sad to see students remain passive in most lectures.

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