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Howard Corporation issued a bond that pays $200 annual coupon

Finance Aug 30, 2020

Howard Corporation issued a bond that pays $200 annual coupon. The par value of the bond is $1000 with 3 yrs left to maturity. The going rate is 21% for these types of securities. There is a sudden decline in market rate and required changes to 20%. What will be the percent change in the value of this bond?

Expert Solution

We can calculate the value of the bond by using the following formula in excel:-

=-pv(rate,nper,pmt,fv)

Here,

PV = Value of the bond

Rate = 21%

Nper = 3 periods

Pmt = $200

FV = $1,000

Substituting the values in formula:

= -pv(21%,3,200,1000)

= $979.26

 

We can calculate the value of the bond by using the following formula in excel:-

=-pv(rate,nper,pmt,fv)

Here,

PV = Value of the bond

Rate = 20%

Nper = 3 periods

Pmt = $200

FV = $1,000

Substituting the values in formula:

= -pv(20%,3,200,1000)

= $1,000

 

Computation of the percentage change in the value of the bond:-

% change in the value of bond = ($1,000 - $979.26) / $979.26

= $20.74 / $979.26

= 2.12%

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