Question

In: Finance

You purchase a 10 year annuity with payments at the end of each year for $10,...

You purchase a 10 year annuity with payments at the end of each year for $10, 000 (where for this annuity effective annual interest is 4%). Immediately after you receive payments, you deposit the payment into an account earning 5% effective annual interest. How much is in this account at the end of 10 years? Use this to find the equivalent effective annual interest rate for this $10, 000 investment over this 10 year period.

Solutions

Expert Solution

Please refer to below spreadsheet for calculation and answer. Cell reference also provided.

Cell reference -


Related Solutions

You purchase a 10 year annuity with payments at the end of each year for $10,000
You purchase a 10 year annuity with payments at the end of each year for $10,000 (where for this annuity effective annual interest is 4%). Immediately after you receive payments, you deposit the payment into an account earning 5% effective annual interest. How much is in this account at the end of 10 years? Use this to find the equivalent effective annual interest rate for this $10, 000 investment over this 10 year period.
You purchase a 10 year annuity with payments at the end of each year for $10,000...
You purchase a 10 year annuity with payments at the end of each year for $10,000 (where for this annuity effective annual interest is 4%). Immediately after you receive payments, you deposit the payment into an account earning 5% effective annual interest. How much is in this account at the end of 10 years? Use this to find the equivalent effective annual interest rate for this $10, 000 investment over this 10 year period. please answer all parts of the...
A 30-year annuity has end-of-month payments. The first year the payments are $120 each. In subsequent...
A 30-year annuity has end-of-month payments. The first year the payments are $120 each. In subsequent years the monthly payment increases by $5 over what it was the previous year. Find the accumulated value of this annuity if AEIR=3% A. 84,820 B. 42,390 C. 105,070 D. 100,620 E. 41,560
Gerry pays $W to buy a ten-year annuity with end-of-year payments of $1,400. This purchase price...
Gerry pays $W to buy a ten-year annuity with end-of-year payments of $1,400. This purchase price allows her to replace her capital by means of a savings account that has an annual effective interest rate of 3% and also to earn an overall annual yield of 6% for the ten years of the annuity. Find W.? The answer is 9508.9. Please show steps to the answer without use of excel.
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.
A 15-year annuity pays $1,000 per month, and payments are madeat the end of each...
A 15-year annuity pays $1,000 per month, and payments are made at the end of each month. The interest rate is 15 percent compounded monthly for the first six years and 14 percent compounded monthly thereafter.  What is the present value of the annuity?Multiple Choice$108,515.59$72,323.18$867,878.16$70,876.72$73,769.64
A 20-year annuity pays $1,450 per month, and payments are madeat the end of each...
A 20-year annuity pays $1,450 per month, and payments are made at the end of each month. If the interest rate is 11 percent compounded monthly for the first ten years, and 7 percent compounded monthly thereafter, what is the present value of the annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
A 13-year annuity pays $1,400 per month, and payments are made at the end of each...
A 13-year annuity pays $1,400 per month, and payments are made at the end of each month. The interest rate is 12 percent compounded monthly for the first Five years and 11 percent compounded monthly thereafter. Required: What is the present value of the annuity? A) $1,343,944.86 B) $109,755.50 C) $111,995.40 D) $152,061.20 E) $114,235.31
A 15-year annuity pays $1,500 per month, and payments are made at the end of each...
A 15-year annuity pays $1,500 per month, and payments are made at the end of each month. If the interest rate is 10 percent compounded monthly for the first seven years, and 6 percent compounded monthly thereafter, what is the present value of the annuity?
Four people share an annuity which makes payments at the end of each year. Person A...
Four people share an annuity which makes payments at the end of each year. Person A gets the first ten payments of P. Person B gets the next 10 payments of 2P. Person C gets the next ten payments of 3P and person D gets the final ten payments of 4P. The present value of C's share is one-third the present value of A's share. a)What is the ratio of the present value of D's share to B's share? b)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT