Question

In: Finance

1. In the following ordinary annuity, the interest is compounded with each payment, and the payment...

1. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period.

Find the accumulated amount of the annuity. (Round your answer to the nearest cent.)

$1000 monthly at 6.3% for 20 years.

2. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period.

Find the required payment for the sinking fund. (Round your answer to the nearest cent.)

Monthly deposits earning 5% to accumulate $6000 after 10 years.

3. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period.

Find the required payment for the sinking fund. (Round your answer to the nearest cent.)

Yearly deposits earning 12.2% to accumulate $5500 after 12 years.

4. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period.

Find the amount of time needed for the sinking fund to reach the given accumulated amount. (Round your answer to two decimal places.)

$265 monthly at 5.8% to accumulate $25,000.

Solutions

Expert Solution

1)

2)

3)

4)

Hence, required time is 78 months or 6.49 years (78/12)


Related Solutions

1. In the following ordinary annuity, the interest is compounded with each payment, and the payment...
1. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. Find the required payment for the sinking fund. (Round your answer to the nearest cent.) Yearly deposits earning 12.8% to accumulate $3500 after 12 years. 2. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. Find the amount of time...
In the following ordinary annuity, the interest is compounded with each payment, and the payment is...
In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. Find the required payment for the sinking fund. (Round your answer to the nearest cent.) Yearly deposits earning 12.9% to accumulate $2500 after 12 years. The Oseola McCarty Scholarship Fund at the University of Southern Mississippi was established by a $150,000 gift from an 87-year-old woman who had dropped out of sixth grade and worked for...
21. the following ordinary annuity, the interest is compounded with each payment, and the payment is...
21. the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. Find the required payment for the sinking fund. (Round your answer to the nearest cent.) Monthly deposits earning 4% to accumulate $3000 after 10 years. 22. the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. Find the required payment for the sinking...
Please assist with the following question: In the following ordinary annuity, the interest is compounded with...
Please assist with the following question: In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. An individual retirement account, or IRA, earns tax-deferred interest and allows the owner to invest up to $5000 each year. Joe and Jill both will make IRA deposits for 30 years (from age 35 to 65) into stock mutual funds yielding 9.2%. Joe deposits $5000 once each year, while Jill...
"What is the future value of an ordinary $1,000 annuity payment over six years if interest...
"What is the future value of an ordinary $1,000 annuity payment over six years if interest rates are 6% (assume annual compounding)?" "$6,000.00 " "$6,975.32 " "$4,917.32 " "$9,675.32 " Not possible to compute with the data provided
Annuity payments are assumed to come at the end of each payment period (termed an ordinary...
Annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). However, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). What is the future value of a 13-year annuity of $3,500 per period where payments come at the beginning of each period? The interest rate is 10 percent. Use Appendix C for an approximate answer, but calculate your final answer using the formula and...
Annuity payments are assumed to come at the end of each payment period (termed an ordinary...
Annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). However, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). What is the future value of a 10-year annuity of $2,600 per period where payments come at the beginning of each period? The interest rate is 7 percent. Use Appendix C for an approximate answer, but calculate your final answer using the formula and...
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%
I seek the formula for manual calculation of the payment of an ordinary annuity when the...
I seek the formula for manual calculation of the payment of an ordinary annuity when the interest is not compounded at the same frequency as the deposits (e.g. compound daily with monthly payments). This is an annuity that I buy now, the present value is large, I receive monthly payments, the future value is zero. TI-83 can do this, but I need the formula for manual calculation, and I haven't yet found it anywhere. The only formula that I have...
1. If the future value of an ordinary, 7-year annuity is $10,000 and interest rates are...
1. If the future value of an ordinary, 7-year annuity is $10,000 and interest rates are 4%, what is the future value of the same annuity due? A. $9,615.39 B. $10,010.00 C. $10,710.00 D. $10,400.00 2.The returns on the common stock of ACME closely follow the economy. In a booming economy, the stock is expected to return 23% in comparison to 14% in a normal economy and a -18% in a recession. The probability of a recession is 18% while...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT