The owners of Bardoza Greeting Cards wish to introduce a new line of cards but need to raise $200,000 to do it. They decide to issue 10-year bonds with a contract rate of 7% paid semiannually. This means Bardoza must make interest payments to the bondholders each 6 months for 10 years. They also set up a sinking fund paying 2% interest compounded semiannually. How much money will they need every half year to make the semiannual interest payments as well as payments to the sinking fund? (Round your answer to the nearest cent.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The owners of Bardoza Greeting Cards wish to introduce a new line of cards but need to raise $200,000 to do it. They decide to issue 10-year bonds with a contract rate of 7% paid semiannually. This means Bardoza must make interest payments to the bondholders each 6 months for 10 years. They also set up a sinking fund paying 2% interest compounded semiannually. How much money will they need every half year to make the semiannual interest payments as well as payments to the sinking fund? (Round your answer to the nearest cent.)

Expert Solution
Step 1

given

p=$200,000t=10 yearsn=2r=7%  =7100  =0.07

first of all we will find the semannual interest payment

we have 

m=prn1+rnnt-1

=

 

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