Question

In: Finance

You are thinking of purchasing an annuity with annual payments of $400. However, unlike previous annuities...

You are thinking of purchasing an annuity with annual payments of $400. However, unlike previous annuities you’ve seen, this one pays the initial payment of $400 today (not important, but the technical term for this is an annuity due). The annuity pays a total of 12 payments. If the discount rate is 6%, what is the present value of the product?

Solutions

Expert Solution

The respective Payments, their discounting factors and the resultant present value of all the future payments can be tabulated below:

Discounting factor can be calculated as:

DF=1/(1+R/100)n

while present value of the payment is calculated as PV=P x DF, where P is the payment received

Thus, Present value of the product = sum of present values of all payments = $ 3554.75 (approx.)


Related Solutions

You are offered a 12-year annuity of $10,000 annual payments. However, the annuity begins in 8...
You are offered a 12-year annuity of $10,000 annual payments. However, the annuity begins in 8 years (you will not receive any payments for 8 years, but will then receive $10,000 at the end of each year for 12 years. If the discount rate is 5% per year (compounded annually), what is the current value of the annuity?
You are offered a 18-year annuity of $10,000 annual payments. However, the annuity begins in 7...
You are offered a 18-year annuity of $10,000 annual payments. However, the annuity begins in 7 years (you will not receive any payments for 7 years, but will then receive $10,000 at the end of each year for 18 years. If the discount rate is 6% per year (compounded annually), what is the current value of the annuity?
Max is thinking about purchasing a house. He wishes his annual payments to be 25% of...
Max is thinking about purchasing a house. He wishes his annual payments to be 25% of his salary. The following table lists his expected salary over the next 30 years. How much is Max willing to borrow for his house? Assume he can find a loan that matches his desired payments. Assume the interest rate is 6.58%. Years Salary 1 -10 $37,823 11-20 $97,337 21-30 $185,750
You pay $628 thousand to buy a 20-year annuity with annual payments to be received at...
You pay $628 thousand to buy a 20-year annuity with annual payments to be received at the end of each year. What is the annual payment if the discount rate is 5.88%? Express your answer in $ thousands, round to the nearest $0.1 thousand. E.g., if your answer is $50,583, record it as 50.6.Blank 1. Calculate the answer by read surroundi
Assume you are to receive a 10-year annuity with annual payments of $800. The first payment...
Assume you are to receive a 10-year annuity with annual payments of $800. The first payment will be received at the end of year 1, and the last payment will be received at the end of year 10. You will invest each payment in an account that pays 7 percent compounded annually. Although the annuity payments stop at the end of year 10, you will not with draw any money from the account until 20 years from today, and the...
A.) If you make quarterly payments of$331.00 into an ordinary annuity earning an annual interest rate...
A.) If you make quarterly payments of$331.00 into an ordinary annuity earning an annual interest rate of 5.47%, how much will be in the account after 4 years? B.) If you make monthly payments of $464.00 into an ordinary annuity earning an annual interest rate of 7.4% compounded monthly, how much will you have in the account after 5 years? After 9 years? C.) In 3 years Harry and Sally would like to have $26,000.00 for a down payment on...
Calculate the annual cash flows (annuity payments) from a fixed-payment annuity if the present value of...
Calculate the annual cash flows (annuity payments) from a fixed-payment annuity if the present value of the 25-year annuity is $1.9 million and the annuity earns a guaranteed annual return of 13 percent. The payments are to begin at the end of seven years.
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.
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 20-years annuity-immediate has annual payments . The first payment is 100 and subsequent payments are...
a 20-years annuity-immediate has annual payments . The first payment is 100 and subsequent payments are increased by 100 until they reach 1000. The remaining payment stay at 1000. the annual effective intersst rate 7.5% . What is the coast of this annuity?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT