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​(Yield to​ maturity) The market price is ​$725 for a 16​-year bond ​($1 comma 000 par​ value) that pays 9 percent annual​ interest, but makes interest payments on a semiannual basis ​(4.5 percent​ semiannually). What is the​ bond's yield to​ maturity?

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Answer:

13.16%

Explanation:

In this question we use the RATE formula i.e shown in the attached spreadsheet

Given that,  

Present value = $725

Assuming figure - Future value or Face value = $1,000  

PMT = 1,000 × 9% ÷ 2 = $45

NPER = 16 years × 2 = 32 years

The formula is shown below:  

= Rate(NPER;PMT;-PV;FV;type)  

The present value come in negative  

So, after solving this, the yield to maturity is 6.58% × 2 = 13.16%

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