Reed Corp. sells $500,000 of bonds to private investors. The bonds are due in five years, have an 6% coupon rate, and interest is paid semiannually. The bonds were sold to yield 4%. What proceeds does Reed receive from the investors? Select one: A. $544,913 B. $474,345 C. $526,948 D. $499,999 E. None of the above

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Answer:

Correct option is (A)

Explanation:

Given:

Bonds sold by Reed corp. (FV) = $500,000

Yield to maturity (rate) = 0.04 annual or 0.02 semi-annual

Coupon rate = 0.06 annual or 0.03 semi annual

Coupon payment (pmt) = 0.03 × 500,000 = $15,000

Time period (nper) = 5 × 2 = 10 periods

It is required to compute proceeds from the sale which is PV of bond. PV can be computed using spreadsheet function =PV(rate,nper,pmt,FV)

Present value of bonds or proceeds from bond is $544,912.93 or $544,913.

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Answer:

Option A, [tex]$\$ 544,913[/tex] will Reed receives from the investors.

Explanation:

Given,

Bonds sold by Reed corp. sells (FV) = $

Yield to maturity (rate) [tex]=$4 \%$[/tex]

Coupon rate [tex]=$6 \%$[/tex]

Step 1:

To find Coupon payment  

[tex]=[/tex]Coupon rate × Bonds

[tex]= $0.03 \times 500,000[/tex]

 [tex]=\$ 15,000$[/tex]

To calculate time period  

[tex]=[/tex] Time ×Yield rate.

[tex]$=5 \times 2[/tex]

[tex]=10[/tex] periods.    

Present value of bonds are from:        

[tex]$\$ 544,912.93$[/tex] or [tex]$\$ 544,913[/tex].          

Therefore, Option A is the correct answer.

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