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lana66690 [7]
3 years ago
14

Consider a corporate bond with a $1000 face value, 8% coupon with semiannual coupon payments, 7 years until maturity, and a YTM

of 9%. It has been 57 days since the last coupon payment was made and there are 182 days in the current coupon period. Calculate the dirty (cash) price for this bond.a).$1,000b).$948.89c).$989.48d).$961.42e).$942.61
Business
1 answer:
serious [3.7K]3 years ago
3 0

Answer:

$961.42

Explanation:

firstly, we calculate the clean clean price below:

FV= 1,000

PMT= 40 (80 / 2)

I= 4.5 (9 / 2)

N= 14 (7 × 2)

Thus, PV= 948.89

Accrued Interest = coupon × (days since last payment/days in current coupon period)= 40 × (57 / 182) = 12.53

conclusively, dirty price = 948.89 + 12.53 = 961.42

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Answer:

Ans. The effective annual interest rate charged on the loan is 12.99% effective annually. (Please see the attached excel spread sheet)

Explanation:

Hi, attached is the amortization table that I made for this case. Notice that there is a yellow and green cell, the yellow one is the result of using the "IRR" function of MS Excel which provides an effective monthly rate, since the payments are made every month, then we have to transform that monthly effective rate into an effective annual rate, this is the formula to use.

EffectiveAnnual=(1+EffectiveMonthly)^{\frac{1}{12} } -1

That is:

EffectiveAnnual=(1+0.012267477)^{\frac{1}{12} } -1=0.12986448

Which we round to 12.99% effective annually.

Finally, notice that I didnt use the payments to find the effective rate, I used the cash flow, that was because you didn´t receive all the 100K (the fee, remember?), you received $98,000.

Best of luck.

Download xlsx
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