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BankMart Inc. recently issued bonds that mature in 9 years. They have a par value of $1,000 and an annual coupon of 3%. The current market interest rate is 8%.What should be the bond's price?

Respuesta :

Kolawole845

Answer:

Price of Bond = $687.66

Explanation:

The value of the bond is the present value(PV) of the future cash receipts expected from the bond. The value is equal to present values of interest payment plus the redemption value (RV).  

Value of Bond = PV of interest + PV of RV  

The value of bond for Bank Mart Inc can be worked out as follows:  

Step 1  

Calculate the PV of interest payments  

Annual interest payment  

= 3%×  1000 = 30

PV of interest payment  

PV = A× (1- 1+r)^(-n)

A- 30, r- 8%, n- 9

30×  ((1-1.08^(-9))/0.08)=187.41

Step 2  

PV of redemption Value  

PV = RV × (1+r)^(-n)

RV - 1000, r- 8%, n- 9

PV of RV = 1000 × 1.08^(-9) = 500.24

Step 3  

Price of bond  

Total PV =  187.41 + 500.24 = $687.66

Price of Bond = $687.66

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