Future value. Grand Opening Bank is offering a​ one-time investment opportunity for its new customers. A customer opening a new checking account can buy a special savings bond for ​$800 ​today, which the bank will compound at 6.5​% for the next ten years. The savings bond must be held for at least five​ years, but can then be cashed in at the end of any year starting with year five. What is the value of the bond at each​ cash-in date up through year​ ten? ​ (Use an Excel spreadsheet to solve this​ problem.) What is the value of the savings bond at the end of year​ five?   ​$nothing   ​(Round to the nearest​ cent.) What is the value of the savings bond at the end of year​ six?   ​$nothing   ​(Round to the nearest​ cent.) What is the value of the savings bond at the end of year​ seven?   ​$nothing   ​(Round to the nearest​ cent.) What is the value of the savings bond at the end of year​ eight?   ​$nothing   ​(Round to the nearest​ cent.) What is the value of the savings bond at the end of year​ nine?   ​$nothing   ​(Round to the nearest​ cent.) What is the value of the savings bond at the end of year​ ten?   ​$nothing ​ (Round to the nearest​ cent.)

Corporate Fin Focused Approach
5th Edition
ISBN:9781285660516
Author:EHRHARDT
Publisher:EHRHARDT
Chapter4: Time Value Of Money
Section: Chapter Questions
Problem 28P
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Future
value.
Grand Opening Bank is offering a​ one-time investment opportunity for its new customers. A customer opening a new checking account can buy a special savings bond for
​$800
​today, which the bank will compound at
6.5​%
for the next ten years. The savings bond must be held for at least five​ years, but can then be cashed in at the end of any year starting with year five. What is the value of the bond at each​ cash-in date up through year​ ten? ​ (Use an Excel spreadsheet to solve this​ problem.)
What is the value of the savings bond at the end of year​ five?
 
​$nothing  
​(Round to the nearest​ cent.)
What is the value of the savings bond at the end of year​ six?
 
​$nothing  
​(Round to the nearest​ cent.)
What is the value of the savings bond at the end of year​ seven?
 
​$nothing  
​(Round to the nearest​ cent.)
What is the value of the savings bond at the end of year​ eight?
 
​$nothing  
​(Round to the nearest​ cent.)
What is the value of the savings bond at the end of year​ nine?
 
​$nothing  
​(Round to the nearest​ cent.)
What is the value of the savings bond at the end of year​ ten?
 
​$nothing
​ (Round to the nearest​ cent.)
Expert Solution
Step 1

"Present Value" is the present-day value of a sum of money expected to be received at a future date calculated at a specified rate of interest.

"Future value" specifies what the present value of an asset is worth at a specified time in the future.

Present value and future value are interrelated and one cannot determine the other in the absence of the other. They both are directly related assuming that the interest rate and time period remain constant. In such an instance when one increases the other increases as well and when one decreases the other decreases as well.

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