Question

In: Accounting

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:

  1. Annual payments increasing 3% annually. First payment (€1,650; 29/05/2011).
  2. Annual payments increasing 5% annually. First payment (€1,650; 29/05/2011).
  3. Monthly payments increasing 0.3% monthly. First payment (€175; 29/06/2010).
  4. Monthly payments, constant during the year and increasing 4% annually. First payment (€175; 29/06/2010).

Solutions

Expert Solution

Refer below solution, please comment if any query. All the best!


Related Solutions

Consider a level annuity-due with annual payments, and an annual interest rate of 6%. The value...
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.
Using the formulas for geometric progression to prove the formulas of growing annuity and growing perpetuity
Using the formulas for geometric progression to prove the formulas of growing annuity and growing perpetuity
An annuity pays $250 at the end of each semi-annual period for 10 years. The payments...
An annuity pays $250 at the end of each semi-annual period for 10 years. The payments are made directly into a savings account with a nominal interest of 4.85% payable monthly, and they are left in the account. Find the effective interest rate for the semi-annual period and use it to calculate the balance immediately after the last payment.
For 50000, Smith purchases a 36-payment annuity-immediate with monthly payments. Assume an effective annual interest rate...
For 50000, Smith purchases a 36-payment annuity-immediate with monthly payments. Assume an effective annual interest rate of 12.68%. For each of the following cases find the unknown amount X. (a) The first payment is X and each subsequent payment is 50 more than the previous one. (b) The first payment is X and each subsequent payment until the 18th pay- ment (and including the 18th payment) is 0.2% larger than the previous one. After the 18th payment, each subsequent payment...
Consider a $12,000 loan with 4 equal annual payments and 10% interest. a. Calculate the annual...
Consider a $12,000 loan with 4 equal annual payments and 10% interest. a. Calculate the annual payment, n = 4, r = 0.10. b. Prepare a complete loan payment schedule table for this loan. You need the time period, the beginning principal, payment, interest paid, principal paid, and ending principal in your table. c. Now assume that the loan is fully amortized over 4 years, however, the interest rate is variable. That is, the bank changes a different rate each...
If you have an annuity due that pays $10,000 annual payments for 10 years starting today,...
If you have an annuity due that pays $10,000 annual payments for 10 years starting today, what is it worth right now if it is discounted at 10%?
A bond pays 7% annual interest in semi-annual payments for 10 years. The current yield on...
A bond pays 7% annual interest in semi-annual payments for 10 years. The current yield on similar bonds is 9%. To determine the market value of this bond, you must find the interest factors (IFs) for 10 periods at 7%. find the interest factors (IFs) for 20 periods at 4.5%. find the interest factors (IFs) for 10 periods at 9%. find the interest factors (IFs) for 20 periods at 3.5%.
Madelyn has a loan to be repaid by 16 annual payments at an effective annual interest...
Madelyn has a loan to be repaid by 16 annual payments at an effective annual interest rate of 5%. Payments 1-10 are $600 each, payments 11-14 are $380 each, and the last 2 payments are $570 each. The interest portion in Madelyn's 13th payment is?
Madelyn has a loan to be repaid by 16 annual payments at an effective annual interest...
Madelyn has a loan to be repaid by 16 annual payments at an effective annual interest rate of 5%. Payments 1-10 are $600 each, payments 11-14 are $380 each, and the last 2 payments are $570 each. The interest portion in Madelyn's 13 th payment is? (I have already posted this question and they got 21.95%, which is incorrect!)
Mr. Smart borrowed $25,000 from a bank on annuity for 2 years at 10% annual interest...
Mr. Smart borrowed $25,000 from a bank on annuity for 2 years at 10% annual interest compounded and payable semiannually (every six months). Calculate the semiannual payments and provide a table that shows periodic payment, balance, interest payment, payment to principal for each payment as well as total amount which Mr. Smart will pay to the bank for the borrowed amount including interest and principal payments in the entire period of two years.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT