Question

In: Accounting

1. What is the price of a $1,000 par value bond given the following information: (Show...

1. What is the price of a $1,000 par value bond given the following information: (Show work)

Maturity:                     5 Years
Coupon Rate:             0% (semiannual)
YTM:                              3%

  1. $1,563
  2. $861
  3. $784
  4. $863

Solutions

Expert Solution

Statement showing price of bond:
( In case of semi annual bond, yield= 3/2=1.5%, Coupon rate=0%, Years=5*2=10
Particulars Time PVf @1.5% Amount PV
Cash Flows (Interest)                          1.00                   0.9852                 -                                   -  
Cash Flows (Interest)                          2.00                   0.9707                 -                                   -  
Cash Flows (Interest)                          3.00                   0.9563                 -                                   -  
Cash Flows (Interest)                          4.00                   0.9422                 -                                   -  
Cash Flows (Interest)                          5.00                   0.9283                 -                                   -  
Cash Flows (Interest)                          6.00                   0.9145                 -                                   -  
Cash Flows (Interest)                          7.00                   0.9010                 -                                   -  
Cash Flows (Interest)                          8.00                   0.8877                 -                                   -  
Cash Flows (Interest)                          9.00                   0.8746                 -                                   -  
Cash Flows (Interest)                        10.00                   0.8617                 -                                   -  
Cash flows (Maturity Amount)                        10.00                   0.8617    1,000.00                        861.70
Fair Price                        861.70
So correc answer is B) $861

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