A 1000 par value 5-year bond with 8.0% semiannual coupons was bought to yield 7.5% convertible semiannually. Determine the amount of premium amortized in the 6th coupon payment.

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Answer:

$2.08

Explanation:

For computing the amount of premium amortized in the 6 coupon payment first we have to need to find out the present value which is shown below:

Given that

NPER = 5 × 2 years

RATE = 7.5 ÷ 2 = 3.75%

PMT = $1,000 × 8% ÷ 2 =  $40

Future value = $1,000

The formula is shown below:

= -PV(Rate;NPER;PMT;FV;type)

So, after applying the above formula, the present value is $1,020.53

Now the amount of premium is determined by preparing the amortization schedule i.e to be shown in the attachment

Interest = beginning value × rate

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