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Mathematics 26 Online
OpenStudy (anonymous):

I need help with Finance, anyone knows Finances? Is about bond price and numbers of bond. Thanks!

OpenStudy (anonymous):

bring it on :)

OpenStudy (anonymous):

Marshall Company is issuing eight-year bonds with a coupon rate of 7.62 percent and semiannual coupon payments. If the current market rate for similar bonds is 8.48 percent. What will be the bond price? (Round intermediate calculations to 4 decimal places, e.g. 1.2514 and bond price to 2 decimal places, e.g. 15.25.) Bond price $ If the company wants to raise $1.25 million, how many bonds does the firm have to sell? (Round intermediate calculations to 4 decimal places, e.g. 1.2514 and number of bonds to 0 decimal places, e.g. 5,275.) Number of bonds bonds

OpenStudy (anonymous):

I got the bond pricerice or Semiannual coupon$1000x(0.0762/2)=38.1

OpenStudy (anonymous):

@electrokid you got scare?? Lol!

OpenStudy (anonymous):

Helloo my life saver @jim_thompson5910... Do you know Finance? ;)

jimthompson5910 (jim_thompson5910):

not really, but I can find formulas and try to work with them

jimthompson5910 (jim_thompson5910):

do you have any formulas to work with?

OpenStudy (anonymous):

I do have the formulas but I know there is something that i am missing..

jimthompson5910 (jim_thompson5910):

well I found a page that has a formula for the bond price here http://www.zenwealth.com/BusinessFinanceOnline/BV/BondPrice.html

jimthompson5910 (jim_thompson5910):

but that formula needs the face value, which is what we need I think

OpenStudy (anonymous):

Waoooo,, mine is different

jimthompson5910 (jim_thompson5910):

show me your formula

OpenStudy (anonymous):

OpenStudy (anonymous):

@rocal2 lol.. was out but, \[A=P(1+r)^n\]

OpenStudy (anonymous):

so, semi annually means twice a year in 8 years, this happens 8*2=16 times so, n=16 P = prinsipal amount=(8.45*1000)/2

OpenStudy (anonymous):

kappesh?

OpenStudy (anonymous):

in your calculations, you used the coupon rate to find the present value.. it should be the present rate..

OpenStudy (anonymous):

wait!! you mean 8.48??

OpenStudy (anonymous):

oh right. yes.

OpenStudy (anonymous):

ok, then???

OpenStudy (anonymous):

so, you get P=4225 then r = 0.0762 \[A=4225(1+0.0762)^{18}=$15845.3\]

OpenStudy (anonymous):

ooh waui... my principal is wrong!

OpenStudy (anonymous):

i should have taken 0.0848

OpenStudy (anonymous):

I was thinking that those number are to big.

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

so, it should be divided by 100 A = $158.45

OpenStudy (anonymous):

Hold on!!

OpenStudy (anonymous):

So I divided 0.0848/100.?

OpenStudy (anonymous):

no.. \(P=42.25\) so, the final answer for \(A\) gets divided by a 100. and we get \(A=$158.45\)

OpenStudy (anonymous):

Gotcha!! now

OpenStudy (anonymous):

awesome

OpenStudy (anonymous):

ok, got that!!

OpenStudy (anonymous):

So now we added them all?

OpenStudy (anonymous):

simply stated, total value = number of bonds * value for each bond so, \[1,000,000=n\times158.45\\\implies n={1,000,000\over158.45}\]

OpenStudy (anonymous):

So in my case N is 42.25* Value $158.45?

OpenStudy (anonymous):

No wait...! Number are too big again..

OpenStudy (anonymous):

isnt N=6312?

OpenStudy (anonymous):

Not sure!!

OpenStudy (anonymous):

I need Bond price and numbers of bonds!

OpenStudy (anonymous):

In my example are similar that this one and the numbers are smaller.

OpenStudy (anonymous):

I only have one attempt. :( I don't want to risk it.. lol!

OpenStudy (anonymous):

well, each bond yields = 158.45+42.25=$203.7 how many such bonds will raise $1,000,000? \[N=\frac{1,250,000}{203.7}=6137\rm{bonds}\]

OpenStudy (anonymous):

Ok, sound better, but wait let me see. if is good!! :s

OpenStudy (anonymous):

OpenStudy (anonymous):

Wrong answer.. I can't even see the right one.. I am so confuse.

OpenStudy (anonymous):

:(

OpenStudy (anonymous):

the first one is good, right?

OpenStudy (anonymous):

In my examples the price is around 912! and the numbers of bond is around 1300..

OpenStudy (anonymous):

Noo all of them are wrong! :(

OpenStudy (anonymous):

whaat!!!

OpenStudy (anonymous):

Yep!! :( Check the formula that I put above. and I do have the examples.

jimthompson5910 (jim_thompson5910):

Does it say anywhere that the face value of the bond is initially $1,000 ? That's the only thing that doesn't fit. I'm not sure where the 1000 is coming from.

OpenStudy (anonymous):

No, he just appeared and disappeared!! lol!! but I just found out that FV is 1000..

jimthompson5910 (jim_thompson5910):

but how do you know the future value is $1,000? does it say that anywhere or does it give you the present value?

OpenStudy (anonymous):

you start assuming the value to be 1000 if it is not given..

OpenStudy (anonymous):

Correct!!

jimthompson5910 (jim_thompson5910):

why assume 1000?

jimthompson5910 (jim_thompson5910):

seems arbitrary to me

OpenStudy (anonymous):

thats Wall Street my friend.. its a fact

jimthompson5910 (jim_thompson5910):

hmm that's why I don't like finance lol

jimthompson5910 (jim_thompson5910):

100 is just as valid in my book

OpenStudy (anonymous):

I know it's tricky!!

OpenStudy (anonymous):

the bond prices and share values start with a 1000 then based on many factors, they start to vary

jimthompson5910 (jim_thompson5910):

so any bond will always start with a face value of $1,000? that seems too convenient

OpenStudy (anonymous):

well, the evaluation starts at a 1000 and the market makes the changes

OpenStudy (anonymous):

Thanks! @jim_thompson5910 but I already check that website... that is actually me!! Lol!!

OpenStudy (anonymous):

I know is a fact that we have to use 1000, when it is not given.

jimthompson5910 (jim_thompson5910):

wouldn't a smaller company need less money? so the face value for a smaller company would lower the face value or what if they want to issue more bonds to more people, so they'd lower the price it just seems odd why they have to start at $1,000 when they could easily start at something like $100

jimthompson5910 (jim_thompson5910):

oh what an odd coincidence rocal2 lol

jimthompson5910 (jim_thompson5910):

so that answer on that page is definitely wrong too?

OpenStudy (anonymous):

Yes, he had from Coursehero.com and tried to change the numbers... lol!

jimthompson5910 (jim_thompson5910):

i gotcha

OpenStudy (anonymous):

I just don't understand where they got number from? please revise the attached file

jimthompson5910 (jim_thompson5910):

which number

jimthompson5910 (jim_thompson5910):

ok i see that the default assumed value is $1,000...still don't know why, but its just something to memorize I guess "A bond selling at par has a coupon rate such that the bond is worth an amount equivalent to its original issue value or its value upon redemption at maturity. This amount is typically $1000 per bond." http://en.wikipedia.org/wiki/Par_value

OpenStudy (anonymous):

378.70+533.91

OpenStudy (anonymous):

I followed the formulas and get closer to those numbers.. but not exact.. WHYYY?? :(

jimthompson5910 (jim_thompson5910):

are you using this formula http://users.wfu.edu/palmitar/Law&Valuation/chapter%204/4-2-2.htm look under the "Semiannual interest" section

OpenStudy (anonymous):

Let me see..

OpenStudy (anonymous):

Bonds are a bit confusing because their value is affected by the current yield. You have to give someone a discount if you want them to buy a bond with a interest rate lower than the bond you're selling.

OpenStudy (anonymous):

@jim_thompson5910 I am using the semiannual interest...

jimthompson5910 (jim_thompson5910):

yes I know rocal2, so is your formula similar to the one given in the link I just posted?

jimthompson5910 (jim_thompson5910):

yeah that makes sense wio, obviously they would choose the higher interest rate bond...so you have to lower the price to compete but the thing that doesn't make sense is why is the starting point $1,000

OpenStudy (anonymous):

Ohh, yes they are similar..

OpenStudy (anonymous):

But I think this one more is simple..

jimthompson5910 (jim_thompson5910):

which one, your formula?

OpenStudy (anonymous):

Isn't it just an example?

jimthompson5910 (jim_thompson5910):

that link doesn't work because you have two dots after the "png" but this one does http://assets.openstudy.com/updates/attachments/514e272ce4b0d02faf5afef9-rocal2-1364083493266-pricebondformulas.png

jimthompson5910 (jim_thompson5910):

thanks though

OpenStudy (anonymous):

Ups!! Sorry!

OpenStudy (anonymous):

That is actually the exact examples but with differents numbers.

OpenStudy (anonymous):

Anyway, where are we at?

OpenStudy (anonymous):

@wio can you check the example that Jim posted in the link, and tell me where they got the 378.70 from?

OpenStudy (anonymous):

which one?

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