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A company issued 7%, 10-year bonds with a face amount of $189,000. The market yield for bonds of similar risk and maturity is

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Answer #1

1) $204910 debit to the cash of bond proceed

Bond valuation is the determination of the fair price of a bond

Bond value is calculated by following formula

BV = Coupon Interest × PVAF ( YTM ,Yr) + Redemption ( PVF ( YTM, Yr)

YTM ie Yield to maturity = 6% , life of bond = 10year

Coupon Interest = Face value × Interest Rate

=189000×7%

Coupon Interest=13230

Bond Value ie Company issue price ( Market value of Bond) = 13230×7.36009 + 189000×0.55839

=99373.9907+ 105535.71

=204909.7 or 204910

2. Book value of bond sold on 1, April is $46250

Under straight line amortisation the discount or premium on bond are amortise over the life of bond and get added to book value so that on maturity book value will be equal to it face value .

As provided Face value of bond is $100000

Which is issued at $92000 lower than face value hence issued at discount of (100000-92000) = 8000

Amortisation over life of bond =8000/4 = 2000 every year

On sell of 50000 value of bond

Book value of Bond Sold = (Issue value + discount amortisation for 3 month)

= (92000+ 2000×3/12) ×50%

=(92000+500)×50%....

=46250

multiply by 50% because 50% held value of bond are retire 5000/100000

​​​​​3. Credit to cash will be by $19400

Cash call will be the value at which bond are retired ie $95

Cash call is the amount realised on retirement of bond .

Credit to cash will be $20000×97/100 (FV)

=19400

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