You are thinking about buying a savings bond. The bond costs ​$50 today and will mature in 9 years with a value of ​$100. What annual interest rate will the bond​ earn? The bond will earn an annual rate of _____%. ​(Round to two decimal​ places.)

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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You are thinking about buying a savings bond. The bond costs
​$50 today and will mature in 9 years with a value of ​$100.
What annual interest rate will the bond​ earn?
The bond will earn an annual rate of
_____%.
​(Round to two decimal​ places.)
Expert Solution
Step 1 Introduction

This bond is given in the question is Zero-Coupon Bond which is an issue at discount and mature at face value. There is no payment of interest over the life, here the difference between the face value and the discounted price is the return of holding. Here we will use the following formula to find the interest rate

 

Current price of zero-coupon bond = Face value / (1+ interest rate)n

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