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Homework answers / question archive / Eastern Corporation has $1

Eastern Corporation has $1

Finance

Eastern Corporation has $1.000 par value bonds with 4 years to maturity. The bonds pay an 8% coupon rate with semi-annual coupon Interest payments. The bond's dosing pricu k quoted at 103.75. Suppose you purchase the bond for the closing price. What is the bonds yield to maturity? 

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Answer : Correct option is 6.91%

Reason :

Using Financial Calculator

=RATE(nper,pmt,pv,fv)

where nper is Number of years to maturity i.e 4 * 2 = 8 (Multiplied by 2 As coupons are paid semiannually)

pmt is Interest payment i.e 1000 * 8% = 80 / 2 = 40 (Divided by 2 As coupons are paid semiannually)

pv is Current Market Price

= 1037.5 (1000 * 103.75%)

Note : pv should be taken as negative.

fv is face value i.e 1000

=RATE(8,40,-1037.5,1000)

therefore ,Yield to maturity is 3.455%(Semiannual)

Yield to maturity is 3.455%* 2 = 6.91%(Annual)

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