Your rich uncle bequests to you a continuous, constant income stream of $9000 per year for the next 10 years. terms of the bequest require that this income stream be paid continuously into a specific savings account that will not be available to you for 10 years. This account earns 5% interest, compounded continuously. What is the present value of the bequest? How much money would the bequest be worth (including all interest accrued) after 10 years? You discover that a bank is offering 5.5% interest compounded continuously on a certificate of deposit (CD) that matures in 10 years. What is the cost of a CD at the above interest rate that would provide the same amount of money as the bequest after 10 years? Because the CD earns more interest than the savings account specified in the will, you feel that you are losing out on interest. So you ask the executor of the estate to use funds from the estate to buy a CD that will be worth the same as the bequeathed income stream in 15 years. You ask her to pay you today the difference between the present value of the original bequest and the amount invested in the CD. How much should she pay you today?

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)
7th Edition
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Chapter4: Managing Your Cash And Savings
Section: Chapter Questions
Problem 7FPE: Calculating interest earned and future value of savings account. If you put 6,000 in a savings...
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Your rich uncle bequests to you a continuous, constant income stream of $9000 per year for the next 10 years. The terms of the bequest require
that this income stream be paid continuously into a specific savings account that will not be available to you for 10 years. This account earns 5% interest,
compounded continuously.
What is the present value of the bequest?
How much money would the bequest be worth (including all interest accrued) after 10 years?
You discover that a bank is offering 5.5% interest compounded continuously on a certificate of deposit (CD) that matures in 10 years.
What is the cost of a CD at the above interest rate that would provide the same amount of money as the bequest after 10 years?
Because the CD earns more interest than the savings account specified in the will, you feel that you are losing out on interest. So you ask the executor of
the estate to use funds from the estate to buy a CD that will be worth the same as the bequeathed income stream in 15 years. You ask her to pay you
today the difference between the present value of the original bequest and the amount invested in the CD.
How much should she pay you today?
Transcribed Image Text:Your rich uncle bequests to you a continuous, constant income stream of $9000 per year for the next 10 years. The terms of the bequest require that this income stream be paid continuously into a specific savings account that will not be available to you for 10 years. This account earns 5% interest, compounded continuously. What is the present value of the bequest? How much money would the bequest be worth (including all interest accrued) after 10 years? You discover that a bank is offering 5.5% interest compounded continuously on a certificate of deposit (CD) that matures in 10 years. What is the cost of a CD at the above interest rate that would provide the same amount of money as the bequest after 10 years? Because the CD earns more interest than the savings account specified in the will, you feel that you are losing out on interest. So you ask the executor of the estate to use funds from the estate to buy a CD that will be worth the same as the bequeathed income stream in 15 years. You ask her to pay you today the difference between the present value of the original bequest and the amount invested in the CD. How much should she pay you today?
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