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Rogoff co.'s 15-year bonds have an annual coupon rate of 9.5%. each bond has face value of $1,000 and makes semiannual interest payments. if you require an 11% nominal yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond?

Sagot :

Maximum sum willing to pay the bond is $891.00.

What is a bond?

  • Bonds are fixed-income securities that reflect loans from investors to borrowers (typically corporate or governmental).
  • A bond can be compared to an agreement outlining the terms of the loan and the associated payments between the lender and borrower.
  • Companies, municipalities, states, and sovereign governments utilize bonds to finance operations and initiatives. Bondholders are the issuer's debtors or creditors.

Given, we have :

Face Value = $1,000

Annual Coupon Rate = 9.50%

Time to Maturity = 15 years

yield to maturity = 11%

We know that Semiannual Coupon Rate will be  = 4.75% .

So, Semiannual Coupon will be = Semiannual Coupon Rate ×  Face Value.

Semiannual Coupon = 4.75% × $1,000 = $47.50.

Semiannual Period will be for 15 year  = 30

Semiannual yield to maturity will be here YTM = 5.50%

Current Price = Semiannual Coupon × [tex]\frac{1-(\frac{1}{1+r}) ^{t} }{r}[/tex][tex]+ \frac{f ae value}{(1+r)^{t} }[/tex]

Putting the values and solving further, we get:

Current Price =  $891.00.

Therefore, Maximum sum willing to pay the bond is $891.00.

Know more about bonds with the help of the given link:

https://brainly.com/question/17405470

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