Question

In: Finance

Consider a level annuity-due with annual payments, and an annual interest rate of 6%. The value...

  1. Consider a level annuity-due with annual payments, and an annual interest rate of 6%. The value of the annuity-due, on the day of its first payment, is $5,231.50. Using the same interest rate, the value of this annuity on the day of its last payment, is $16,778.13. Find the number of payments and the amount of the level payment for this annuity.

Solutions

Expert Solution

Formulae

Formulae as above...


Related Solutions

What is the present value of an annuity due that makes 5 payments of $6,000 each if the interest rate is 7%?
What is the present value of an annuity due that makes 5 payments of $6,000 each if the interest rate is 7%?a. $20,323.27b. $24,601.18c. $26,323.27d. $28,001.22e. $28,599.24
Consider an annuity-due with 24 annual payments. The first payment is 800 at time 0 and...
Consider an annuity-due with 24 annual payments. The first payment is 800 at time 0 and each subsequent payment increases by 7%. Find the PV of this annuity at an annual effective rate of interest i=5%
What is the present value of a $100-payment, 100-year annuity due if the interest rate is...
What is the present value of a $100-payment, 100-year annuity due if the interest rate is 14% per year? What is the future value of a $50-payment, 50-year annuity due if the interest rate is 9% per year?
Present value of an annuity    Consider the following case.   Amount of annuity Interest rate Period​ (years)...
Present value of an annuity    Consider the following case.   Amount of annuity Interest rate Period​ (years) ​$44,000 12​% 13 a.  Calculate the present value of the annuity assuming that it is ​(1) An ordinary annuity. ​(2) An annuity due. b.  Compare your findings in parts a​(1) and a​(2). All else being​ identical, which type of annuity—ordinary or annuity due—is ​preferable? Explain why. The present value of the ordinary annuity is____.  (Round to the nearest​ cent.)
An annuity-due has 26 payments of $300 per period. The effective rate of interest per period...
An annuity-due has 26 payments of $300 per period. The effective rate of interest per period is 8% for the first 12 periods and 5% for the following 14 periods. (A) Find the accumulated value of the annuity using the portfolio method. Round your answer to 2 decimal places. (B) Find the accumulated value of the annuity using the yield-curve method.. Round your answer to 2 decimal places.
Consider an annuity for 10 years, whose payments vary in geometric progression. An annual effective interest...
Consider an annuity for 10 years, whose payments vary in geometric progression. An annual effective interest rate of 6% is used. Obtain the financial value at t = 29/05/2010 of this annuity considering different cases: Annual payments increasing 3% annually. First payment (€1,650; 29/05/2011). Annual payments increasing 5% annually. First payment (€1,650; 29/05/2011). Monthly payments increasing 0.3% monthly. First payment (€175; 29/06/2010). Monthly payments, constant during the year and increasing 4% annually. First payment (€175; 29/06/2010).
Calculate the equivalent periodic interest rate per payment interval for the following annuity Semi-annual payments earning 6% compounded monthly
Calculate the equivalent periodic interest rate per payment interval for the following annuity Semi-annual payments earning 6% compounded monthly O 5.00000% O 3.03775% O 3.08771% 0 2.97233% O 0.83161%
FUTURE VALUE: ANNUITY VERSUS ANNUITY DUE What's the future value of a 6%, 5-year ordinary annuity...
FUTURE VALUE: ANNUITY VERSUS ANNUITY DUE What's the future value of a 6%, 5-year ordinary annuity that pays $200 each year? Round your answer to the nearest cent. $   If this was an annuity due, what would its future value be? Round your answer to the nearest cent. $  
12.) Consider the future value of an ordinary annuity and an annuity due. a.) Define each...
12.) Consider the future value of an ordinary annuity and an annuity due. a.) Define each and explain the difference between these two types of annuities. (Hint: Begin by defining each. Then explain the difference. Use complete sentences.) b.) Which of these plans will produce a greater value at the end of the total time period for the annuity? Why is this so? (Use complete sentences to answer.) Show work
Problem 5-6 Future value: annuity versus annuity due a. What's the future value of a 8%,...
Problem 5-6 Future value: annuity versus annuity due a. What's the future value of a 8%, 5-year ordinary annuity that pays $100 each year? Round your answer to the nearest cent. b. If this was an annuity due, what would its future value be? Round your answer to the nearest cent.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT