Intermediate II - Chapter 14 - 1 Bonds
00:27:58
https://www.youtube.com/watch?v=_-4qqgCkjKc
Zusammenfassung
TLDR本章节讲解了债券及长期票据的基本概念与分类。债券被视为公司对投资者的债务,必须在到期时偿还面值并支付定期利息。债券的面值、定期利息及相关术语(如票面价值、名义利率等)均得到介绍。重点讨论了不同类型的债券:如未经担保的债券、抵押债券、可转换债券和可赎回债券,强调了债务在公司财务报表中的记录方式,以及市场利率如何影响债券的发行价格。通过例子解析了债券折扣的计算方法,实际利息的计算,以及摊销过程的关键要点。
Mitbringsel
- 📊 了解债券的基本概念和分类
- 💰 债券的面值和定期利息的重要性
- 🔑 债券类型:未担保、抵押、可转换、可赎回
- 💸 市场利率与债券成交价的关系
- 📉 如何计算债券的折扣和溢价
- 📚 重要术语:票面价值、名义利率
- 💼 债务在公司财务报表中的呈现
- 📝 记录债券发行的会计条目
- ✔️ 理解实际利息的计算方法
- 💡 摊销债券折扣的计算方式
Zeitleiste
- 00:00:00 - 00:05:00
在本次讲座中,我们介绍了第14章的内容,讨论了债券和长期票据。特别关注了债券的特性、不同类型及相关术语,让学生了解债券的基本结构,包括面值、利息支付、债务义务等。
- 00:05:00 - 00:10:00
债券一般由发行公司发出,投资者然后获得债券意味着他们对公司有债务权益。我们介绍了一些术语,如面值、票面利率、债券契约以及债务的法律约束力等,突出债券是安全的投资工具,但令投资者承担风险。
- 00:10:00 - 00:15:00
讨论了几种债券类型,包括无担保债券(debenture bonds)仅依赖发行公司的信用,无需具体资产作为担保;抵押债券(mortgage bonds)则以特定房地产作担保,降低了风险及对应利率。
- 00:15:00 - 00:20:00
可转换债券允许投资者将债券转换为公司股票,呼叫债券让公司在规定时间内回购债券,以及设立偿债基金确保债务的还款能力。这些都影响债券的设计和投资吸引力。
- 00:20:00 - 00:27:58
最后,通过Masterwhere Industries的例子,说明了如何计算债券的实际售价,以及如何通过现值法评估现金流的现值,让学生在理解债务管理时具备必要的会计知识,以便更好地录入和报告债务交易。
Mehr anzeigen
Mind Map
Video-Fragen und Antworten
什么是债券的面值?
债券的面值是指在到期日发行公司需偿还给投资者的金额,也称为本金、票面价值或到期价值。
如何计算债券的实际利息?
实际利息使用市场利率与未偿还本金相乘的方式来计算。
债券可以有哪些不同类型?
债券可分为未担保债券、抵押债券、可转换债券、可赎回债券等。
如何判断债券是以溢价还是折扣成交?
如果债券的市场利率高于票面利率,则通常以折扣成交;反之,以溢价成交。
什么是债券的折扣和溢价?
债券折扣是指债券售价低于面值,而溢价则是售价高于面值。
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Untertitel
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Automatisches Blättern:
- 00:00:01hello everyone we are
- 00:00:03starting chapter 14 in intermediate
- 00:00:06accounting in this lecture
- 00:00:08so we're going to be talking about bonds
- 00:00:10and long
- 00:00:11term notes in chapter 14. for this
- 00:00:14lecture we're going to do some recap
- 00:00:16on an example of a discount on a bond
- 00:00:19and we're also going to talk about some
- 00:00:21details
- 00:00:22about bonds that we haven't discussed
- 00:00:24before so
- 00:00:25stay tuned to this lecture and then
- 00:00:27we'll have several more to finish out
- 00:00:29chapter 14.
- 00:00:32okay so um with a bond
- 00:00:35in general we have the issuing
- 00:00:38corporation now remember
- 00:00:39bonds are debt so this is not where
- 00:00:43the investor has any equity in the
- 00:00:47company
- 00:00:48they oh they have a bond that means that
- 00:00:52the
- 00:00:52issuing company owes them something
- 00:00:55the issuing company is in debt they are
- 00:00:58obligated
- 00:00:59to repay the investor
- 00:01:03so the face amount at the specified
- 00:01:06maturity date
- 00:01:08has several different names that you may
- 00:01:10hear it called so i want to make sure
- 00:01:12you're familiar with those names the
- 00:01:14face amounts can be called the principal
- 00:01:17the par value stated amount
- 00:01:20or maturity value all of those have the
- 00:01:23same
- 00:01:24meaning that is the amount at the
- 00:01:26maturity date
- 00:01:28that the investor is going to get from
- 00:01:30the issuing company that is the amount
- 00:01:33of
- 00:01:33debt that the issuing company has to pay
- 00:01:36to the investor
- 00:01:37whenever the bond comes due when the
- 00:01:40maturity date comes
- 00:01:42then you also have periodic interest
- 00:01:45that is money that is paid from the
- 00:01:48issuing corporation
- 00:01:49to the investor for the time between the
- 00:01:53issuing date
- 00:01:54and maturity so this is going to be
- 00:01:58a lot of times paid every six months to
- 00:02:02the investor
- 00:02:02to the one who who owns the bond
- 00:02:06before they actually get to the maturity
- 00:02:08date so
- 00:02:09other words for this periodic interest
- 00:02:11would be stated rate
- 00:02:13coupon rate or nominal rate so when we
- 00:02:16say those words
- 00:02:17we're talking about that interest that
- 00:02:20the investor
- 00:02:21earns on the bond in between the time
- 00:02:24that they bought the bond that it was
- 00:02:25issued
- 00:02:26and the time that it matures the time
- 00:02:28they actually get their
- 00:02:29face amount back all right so a few
- 00:02:33definitions i want to cover here about
- 00:02:35bonds before we go into some examples
- 00:02:38of a bond a bond indenture
- 00:02:41this is not something that your dentist
- 00:02:43does to you this is not anything to do
- 00:02:45with your mouth
- 00:02:47this is a specific promise
- 00:02:51made to bondholders this is like a legal
- 00:02:54agreement from the issuing company to
- 00:02:56the bond holders to the investor
- 00:03:00with all the legal terms that is
- 00:03:03typically
- 00:03:03held by a trustee that might be a bank
- 00:03:07or some kind of financial institution
- 00:03:10they are the trustee is appointed by the
- 00:03:12issuing firm
- 00:03:13to represent the rights of the bond
- 00:03:16holder
- 00:03:19if the company the issuer fails to live
- 00:03:22up to the terms of the bond and denture
- 00:03:24they don't live up to their agreements
- 00:03:27then the trustee may bring legal action
- 00:03:29against the company so it's serious this
- 00:03:32is
- 00:03:32debt that is serious that the bondholder
- 00:03:35has rights
- 00:03:36and the issuing company has to live up
- 00:03:39to the terms that they agreed to
- 00:03:43all right we have several different
- 00:03:44types of bonds that i want to discuss
- 00:03:47with you
- 00:03:48so first is a debenture bond that sounds
- 00:03:51a lot like the
- 00:03:52indenture but this is debenture
- 00:03:55so with a debenture bond it is secured
- 00:03:59only by the full faith and credit of the
- 00:04:02issuing corporation
- 00:04:04meaning you don't have any actual
- 00:04:06collateral
- 00:04:07for this bond so if for some reason the
- 00:04:10issuing company does not pay
- 00:04:12there's not some asset to back it up
- 00:04:16and you'll see some other examples of
- 00:04:18bonds that do have assets to back them
- 00:04:20up
- 00:04:21but basically this full faith and credit
- 00:04:24it's gonna need to be a company that
- 00:04:27people feel like they can trust and they
- 00:04:29feel like they are going to live up to
- 00:04:31what they say they're going to do and
- 00:04:32they are going to pay their interest and
- 00:04:34they are going to pay that face amount
- 00:04:36at the maturity date because there isn't
- 00:04:39anything else to back up
- 00:04:40the fact that if they were to
- 00:04:44not pay those amounts that they owe so
- 00:04:47there's no specific assets that are
- 00:04:49pledged as security for these
- 00:04:51investors have the same standing as the
- 00:04:54firm's
- 00:04:55other general creditors so any other
- 00:04:58creditors
- 00:04:59um are the same the same level as far as
- 00:05:01them getting their money
- 00:05:03if they were to go bankrupt or something
- 00:05:06like that
- 00:05:07all right so here mortgage bonds this is
- 00:05:10a good example
- 00:05:11of a bond that does have something to
- 00:05:13pledge for security
- 00:05:15so mortgage bonds are backed by a lien
- 00:05:18on specific real estate okay
- 00:05:21so if you are getting a bond from a
- 00:05:25company that issues home loans
- 00:05:28then it is backed up by those loans if
- 00:05:31for some reason
- 00:05:32we don't pay you us as the issuers do
- 00:05:35not pay you as the bondholder
- 00:05:38then you can have these specified this
- 00:05:42real estate you can have these loans or
- 00:05:44this specific
- 00:05:45real estate itself so this would be less
- 00:05:48risky for sure because there is
- 00:05:50something backing it up
- 00:05:51so because it's less risk just like with
- 00:05:54pretty much every investment it
- 00:05:57typically commands a lower interest rate
- 00:06:00with almost every investment that you
- 00:06:02see whether you're in the business world
- 00:06:04or in your personal life
- 00:06:06the riskier it is the higher the
- 00:06:08interest rate the higher potential of
- 00:06:10return
- 00:06:11that's what you get for being willing to
- 00:06:13take the risk
- 00:06:14if it's not as risky you're most likely
- 00:06:17not going to get as much of a return but
- 00:06:18there's obviously pros and cons both
- 00:06:21ways
- 00:06:22all right convertible bonds the bond
- 00:06:26itself can be converted into shares of
- 00:06:28stock
- 00:06:30the amount of stock that you could get
- 00:06:31for that bond would be specified
- 00:06:34beforehand you would know how much you
- 00:06:37would be able to convert
- 00:06:38that bond into for shares of stock so if
- 00:06:41you decide
- 00:06:42instead of having debt for
- 00:06:45from this issuing company i think i want
- 00:06:47some of their stock i think i want
- 00:06:49to have some equity in the company and
- 00:06:53that may make sense depending on where
- 00:06:55the stock market is falling
- 00:06:56at the time all right a few more types
- 00:06:59of bonds
- 00:07:00callable bonds so callable bonds they
- 00:07:03have a feature that allows the issuing
- 00:07:05company
- 00:07:06to buy back or call
- 00:07:10the bonds before their scheduled
- 00:07:11maturity date
- 00:07:13okay so whenever the issuing company is
- 00:07:15ready they are allowed to
- 00:07:17go ahead and say you know what here's
- 00:07:19your face amount
- 00:07:20i no longer want to be indebted to you
- 00:07:24the call price must be pre-specified
- 00:07:28and often exceeds the bonds face amounts
- 00:07:31so
- 00:07:32if they decide to go ahead and call that
- 00:07:34bond before the maturity date
- 00:07:37then there's going to be a pre-specified
- 00:07:39amount that they'd have to pay
- 00:07:40and like it says here a lot of times
- 00:07:41they have to pay even more
- 00:07:43than that face amount because you know
- 00:07:45the company the bondholder is going to
- 00:07:48be losing out on interest
- 00:07:50and it may be inconvenient for the
- 00:07:52timing
- 00:07:53so they have to the issuing company has
- 00:07:56to
- 00:07:56pay something extra for that for putting
- 00:07:58them
- 00:08:00out of that interest and everything
- 00:08:03all right a sinking fund sinking fund
- 00:08:06redemptions that's where the corporation
- 00:08:08may be required to redeem the bonds on a
- 00:08:11pre-specified
- 00:08:12year by year basis so a sinking fund
- 00:08:16is a fund that a corporation may be
- 00:08:19putting
- 00:08:20money to the side for specific use
- 00:08:23like for to pay these bonds back so
- 00:08:27we don't want to just hope we have
- 00:08:28enough money
- 00:08:30whenever these bonds mature so
- 00:08:33every year we are going to put aside x
- 00:08:35amount of money so that at the end
- 00:08:38of this bond's life whenever it matures
- 00:08:41we will have the money set aside in the
- 00:08:44sinking fund
- 00:08:46all right and finally cereal bonds
- 00:08:50so this is not lucky charms this is
- 00:08:53retired installments cereal as an
- 00:08:56installment during all or part of the
- 00:08:59life of the issue
- 00:09:01with each bond having its own specified
- 00:09:03maturity date
- 00:09:04so in other words this is a bond
- 00:09:08that instead of having one maturity date
- 00:09:10where the
- 00:09:11bondholder receives the face amount
- 00:09:13there are several installments where
- 00:09:15they will receive
- 00:09:16portions of it until they then have all
- 00:09:19of the face amount
- 00:09:20at the end of the the installments
- 00:09:26okay so whenever companies record the
- 00:09:29bonds when they're issued
- 00:09:32it depends on if you are the corporation
- 00:09:34that's issuing the bond
- 00:09:35or the investor who is the bond holder
- 00:09:38who's buying the bond
- 00:09:40if it's the corporation that's issuing
- 00:09:42the bond they're going to record a
- 00:09:44liability
- 00:09:45so yes we were able to bring in some
- 00:09:47cash because somebody
- 00:09:48loaned us some money through this bond
- 00:09:50it's debt but that means we have a
- 00:09:52liability to pay it back
- 00:09:55so that's for the issuing company for
- 00:09:57the investor who buys the bond as an
- 00:10:00investment
- 00:10:01they're going to report it as an asset
- 00:10:03and they
- 00:10:05are going to get paid in the future for
- 00:10:07this bond they're going to
- 00:10:09send cash out but they're also going to
- 00:10:12have an asset for this investment
- 00:10:14so let's look at an example this is a
- 00:10:17very um recognizable example we've seen
- 00:10:19in some other chapters chapter 12
- 00:10:22you're going to really recognize this
- 00:10:25bond process but this is good review
- 00:10:28so we'll go back through it because it
- 00:10:29can be a confusing process
- 00:10:32whenever you are recording a bond
- 00:10:34discount or a premium
- 00:10:36so as we go through this masterwhere
- 00:10:38industries example again
- 00:10:40hopefully it will help you if you were
- 00:10:42not understanding completely
- 00:10:44in chapter 12. so on january
- 00:10:471st 2018 masterwhere industries issued
- 00:10:52excuse me 700 000 of 12
- 00:10:55bonds interest of 42 000 is payable
- 00:11:00semi-annually on june 30th and december
- 00:11:0331st
- 00:11:04so they took that 700 000 times 0.12
- 00:11:0712 and that told us that
- 00:11:11we were going to pay 42 000 twice a year
- 00:11:14because most
- 00:11:15time bonds are going to pay you twice a
- 00:11:17year semi-annually
- 00:11:18so they're going to get paid 42 000 in
- 00:11:20interest on june 30th
- 00:11:22and december 31st just a little recap of
- 00:11:24what that said
- 00:11:26the bond matures in three years
- 00:11:30the entire bond issue was sold in a
- 00:11:32private placement to united intergroup
- 00:11:36at the face amount okay so in this first
- 00:11:39example
- 00:11:41united inner group bought the whole
- 00:11:44issuance of seven hundred thousand
- 00:11:45dollars worth of bonds
- 00:11:47at face amount so they paid the full
- 00:11:50seven hundred thousand for those
- 00:11:52so master where the issuer has
- 00:11:55a debit cash because they brought in
- 00:11:57cash for seven hundred thousand
- 00:11:59and then they create that liability with
- 00:12:01the credit to bonds payable for seven
- 00:12:04hundred thousand
- 00:12:05however the investor united they are
- 00:12:08going to record
- 00:12:10an asset they record an investment in
- 00:12:13bonds with a debit
- 00:12:14so that was creating an asset for 700
- 00:12:17000
- 00:12:18and then they gave cash to master ware
- 00:12:22to borrow for 700 000 so that would be a
- 00:12:24credit because we're decreasing
- 00:12:26cash
- 00:12:29all right determining the selling price
- 00:12:32again we
- 00:12:33looked at this in chapter 12 but this is
- 00:12:35going to be a little recap
- 00:12:37it won't hurt to go back over this
- 00:12:39challenging concept
- 00:12:41and if you already have it from chapter
- 00:12:4312 then awesome
- 00:12:44you are ahead of everybody else most
- 00:12:47likely
- 00:12:48but it still could be helpful to listen
- 00:12:50to it again so
- 00:12:52bonds will sell for more than the face
- 00:12:55amount
- 00:12:56or less than the face amount depending
- 00:12:59on that 12 percent in the example
- 00:13:02stated interest rate how that compares
- 00:13:04to the market rate
- 00:13:05or the effective interest rate
- 00:13:08so if it sells for more than the face
- 00:13:12amount that means it's selling at a
- 00:13:14premium
- 00:13:15if it sells for less than the face
- 00:13:17amount it's selling at a discount
- 00:13:19so we know we have a stated interest
- 00:13:22rate of 12 percent
- 00:13:23so we see that in all all the way down
- 00:13:25here
- 00:13:26we have 12 percent that's what it tells
- 00:13:28us in the example the bond is paying
- 00:13:3012 on that 700 thousand dollars
- 00:13:35the market rate if it was twelve percent
- 00:13:38as well
- 00:13:39then they would pay the face amount
- 00:13:41which was what we saw in this
- 00:13:43on the slide before this so if our
- 00:13:46stated interest rate is the same as the
- 00:13:48market interest rate
- 00:13:49then awesome we have the face amount
- 00:13:54it's not being sold at less or more but
- 00:13:57if our stated interest rate is 12 and
- 00:14:00the market rate is 14
- 00:14:02so we are not paying as high as a of a
- 00:14:05percentage
- 00:14:06as they could find in other in other
- 00:14:08spots in the market
- 00:14:10then we are going to have to sell our
- 00:14:11bond at a discount
- 00:14:13meaning they would not have paid us the
- 00:14:15full 700 000
- 00:14:17for that bond because we are not paying
- 00:14:19as much interest
- 00:14:21as they can find in other places at the
- 00:14:23time
- 00:14:24now if we're paying 12 and the market's
- 00:14:27only paying 10
- 00:14:28so we're actually paying more than most
- 00:14:30people then we can sell it at a premium
- 00:14:33we could sell it more than the 700
- 00:14:35000 because we are paying higher
- 00:14:37interest rate
- 00:14:39i'm not going to go into detail about
- 00:14:41all these bond ratings
- 00:14:42but bonds are they do each have a rating
- 00:14:46depending on what kind of grades they
- 00:14:48are whether or not they are
- 00:14:50high risk again so
- 00:14:53the higher the risk the
- 00:14:57higher the um the interest rates going
- 00:15:00to be or the less they're going to sell
- 00:15:02the
- 00:15:02bond for so if the risk of the
- 00:15:05corporation itself
- 00:15:07is low then the price of the bonds are
- 00:15:09going to be higher
- 00:15:10because the less risky the more you're
- 00:15:14going to have to
- 00:15:15pay for that the more risky it is the
- 00:15:18more of a discount you're going to get
- 00:15:20it could be the corporation as a whole
- 00:15:22is risky or it could be the certain type
- 00:15:25of bonds they have
- 00:15:26are risky but either way there's going
- 00:15:29to be ratings on each bond
- 00:15:33all right so determining the selling
- 00:15:36price this will be
- 00:15:37a repeat from chapter 12 but again
- 00:15:40good practice so to figure out the bond
- 00:15:43price
- 00:15:44we would take the present value of the
- 00:15:47principal
- 00:15:48payable at maturity so we know in this
- 00:15:51example it was 700 thousand that's going
- 00:15:53to be paid
- 00:15:54at maturity but we got to figure out the
- 00:15:55present value of that
- 00:15:58plus the present value of the periodic
- 00:16:01cash
- 00:16:02payments okay so that interest those
- 00:16:04interest payments okay
- 00:16:06so that's going to give us the
- 00:16:07discounted at the market rate which in
- 00:16:10this case it's going to be a discount
- 00:16:12that we're selling it at
- 00:16:15and it's going to be then the face
- 00:16:17amount
- 00:16:18times the stated rate so the bond
- 00:16:22prices are typically stated in terms of
- 00:16:24a percentage
- 00:16:26of the face amounts so what what do i
- 00:16:28mean by that
- 00:16:30let's say for example a price quote of
- 00:16:3398 means that
- 00:16:36a thousand dollar bond will sell for
- 00:16:39nine hundred and eighty dollars
- 00:16:42a bond price at 101 means that thousand
- 00:16:45dollar bond is gonna sell for one
- 00:16:47thousand
- 00:16:48ten dollars so when you say
- 00:16:51um we're quoting you at 98 that's just
- 00:16:53saying
- 00:16:54you're going to have to pay the
- 00:16:55discounted rate of 98
- 00:16:58of the bonds face amount if you're
- 00:17:01paying 101 or anything over 100
- 00:17:03then that means you're going to be
- 00:17:04paying a premium you're going to pay
- 00:17:07101 times the face value
- 00:17:11of the bond
- 00:17:14so you might hear it stated that way all
- 00:17:16right so back to our example
- 00:17:18masterwhere issues 700 000 for 12
- 00:17:21percent
- 00:17:22so that means that you're going to get
- 00:17:2442 000 twice a year june 30th and
- 00:17:27december 31st
- 00:17:29the bond does mature in three years the
- 00:17:32market yield for the bond at a
- 00:17:34similar risk in maturity so that market
- 00:17:36yield would be
- 00:17:3714 percent so the entire bond issue
- 00:17:41was purchased by united inner group so
- 00:17:44if the market would normally give us 14
- 00:17:47and we're only offering 12 that means we
- 00:17:50have to sell that 700
- 00:17:52000 bond we as a master wear for a
- 00:17:55discounted price so we're actually gonna
- 00:17:57get less than the 700 000
- 00:18:00and here's how we're going to calculate
- 00:18:01it
- 00:18:03first we're going to find the interest
- 00:18:07at present value so we know every six
- 00:18:09months
- 00:18:10the interest that united is going to get
- 00:18:13is 42 000.
- 00:18:15we're going to use the present value
- 00:18:18table of an
- 00:18:19ordinary annuity okay we want to know
- 00:18:21the present value
- 00:18:23and the interest is paid period after
- 00:18:26period
- 00:18:27after period that is an annuity it's not
- 00:18:30a
- 00:18:30one-time payment it's paid over and over
- 00:18:32again that is called an annuity
- 00:18:35so you would go to the present value of
- 00:18:37an ordinary
- 00:18:38new annuity table
- 00:18:41it's going to be six periods because
- 00:18:44that 42 000 is paid
- 00:18:46six times three years but each year
- 00:18:50they get two payments so you would go to
- 00:18:52period six
- 00:18:54and an interest rate of seven percent
- 00:18:57that's because you're getting half of
- 00:18:59the interest
- 00:19:01every six months so you're going to use
- 00:19:03the
- 00:19:04market interest rate of 14 divided by
- 00:19:07two
- 00:19:08since it's every six months instead of
- 00:19:10once a year
- 00:19:11that would give us the present value of
- 00:19:15an ordinary annuity of 4.76654
- 00:19:19you get that off of the present value of
- 00:19:22an annuity
- 00:19:23chart so you multiply that interest that
- 00:19:26you're going to get
- 00:19:27six different times by that
- 00:19:30present value amount and that was again
- 00:19:33using the market yield not the stated
- 00:19:37interest rate so that tells us the
- 00:19:39present value of the interest
- 00:19:42that will be received by united
- 00:19:45is going to be two hundred thousand not
- 00:19:48one hundred and ninety five dollars
- 00:19:51then we also need to find the present
- 00:19:53value of the principal
- 00:19:54we're going to use the same factors six
- 00:19:57periods
- 00:19:58times seven and seven percent for the
- 00:20:01same reasons
- 00:20:02but we're only doing the present value
- 00:20:04of one dollar
- 00:20:05it's not the present value of an annuity
- 00:20:07of one dollar because
- 00:20:08the 700 000 is only going to be received
- 00:20:11once
- 00:20:12and it's going to be received six
- 00:20:15periods from now
- 00:20:16okay so six six month periods from now
- 00:20:20so that would give us the factor of
- 00:20:22point six six six
- 00:20:23three four which gives us four hundred
- 00:20:26sixty six thousand dollars four hundred
- 00:20:28and thirty eight
- 00:20:29you add those two together you would get
- 00:20:32six hundred sixty six thousand six
- 00:20:35hundred and thirty three dollars
- 00:20:37that is the present value of the bond
- 00:20:41so that is the price that the issuer is
- 00:20:44actually going to receive
- 00:20:46for these bonds they're issuing
- 00:20:49okay this is another little good example
- 00:20:51of a way to look at this
- 00:20:53okay so the top half here is the
- 00:20:55calculation we just did
- 00:20:57but just to help us understand that
- 00:20:59present value of cash flows
- 00:21:02every six months the
- 00:21:05issuer is going to give the bondholder
- 00:21:07forty two thousand dollars in interest
- 00:21:09okay so that's one
- 00:21:10two three four five six
- 00:21:13times every six months they get forty
- 00:21:16two thousand
- 00:21:16that's six times that's why we chose
- 00:21:19period six
- 00:21:20so the present value of that
- 00:21:23is two hundred thousand one hundred
- 00:21:25ninety five dollars
- 00:21:27and then the same thing goes for the 700
- 00:21:30000 we get that in three years or six
- 00:21:33periods the way we're doing it here
- 00:21:36which the present value we calculated is
- 00:21:39466
- 00:21:41438 that's the value of it today
- 00:21:45so when you add those two present values
- 00:21:48up
- 00:21:48it gives you the present value of the
- 00:21:50interest and the principles that's just
- 00:21:52a little visual
- 00:21:53of the calculation we just did so
- 00:21:55hopefully if you're struggling with that
- 00:21:56that will help you out everybody learns
- 00:21:58differently
- 00:21:59and that can be a good way to help you
- 00:22:00out
- 00:22:03all right so this is the same
- 00:22:04information same information we know
- 00:22:06nothing new there
- 00:22:07let's look at the um journal entry
- 00:22:10since it is at a discount okay so we
- 00:22:12know that master where which is the
- 00:22:15issuer the one that is issuing the debt
- 00:22:17the bond
- 00:22:19is going to now have a bond payable of
- 00:22:22700 000
- 00:22:23why because that's the face amount that
- 00:22:26is the amount that they are going to
- 00:22:27have to pay united
- 00:22:29at the maturity date in three years
- 00:22:33they are only going to bring in cash
- 00:22:35however at the
- 00:22:36discounted amount that we calculated
- 00:22:40on that previous slide okay so that's
- 00:22:43the cash they're going to bring in
- 00:22:44the difference between the two is going
- 00:22:46to be a debit
- 00:22:47to discount on bonds payable
- 00:22:51so that's the entry recorded for the
- 00:22:54issuer
- 00:22:55the first entry we saw several slides
- 00:22:58ago
- 00:22:59was if it was issued at 12
- 00:23:02and the market was 12 then we would have
- 00:23:05gotten face
- 00:23:06the face value but since that's not the
- 00:23:08case and there's a discount
- 00:23:10this is how you would make the entry for
- 00:23:13the date of issuance
- 00:23:15and then for the investor
- 00:23:19they are going to have an investment of
- 00:23:21the full seven hundred thousand because
- 00:23:22that's the face amount that's how much
- 00:23:24they're going to get at maturity
- 00:23:26and then they record that cash went out
- 00:23:28with a credit for the 666
- 00:23:31000 and then they record the discount
- 00:23:35on the bond as a credit as well
- 00:23:38[Music]
- 00:23:40so basically it was the opposite entries
- 00:23:44there
- 00:23:45all right so determining interest the
- 00:23:47effective
- 00:23:48interest method so this refers to
- 00:23:50recording interest
- 00:23:52each period as the effective market rate
- 00:23:55of interest
- 00:23:56multiplied by the outstanding balance
- 00:24:00so in our previous illustration the
- 00:24:03amount of debt
- 00:24:04was that six hundred sixty six thousand
- 00:24:07the effective interest rate was fourteen
- 00:24:09percent because that's what the market
- 00:24:11yield was
- 00:24:12the interest recorded as an expense to
- 00:24:15the issuer
- 00:24:16and his revenue to the investor for the
- 00:24:18six month interest period is calculated
- 00:24:20like this okay so this is going to be
- 00:24:23the effective interest we know that
- 00:24:25they're bringing in 42 thousand dollars
- 00:24:27every six months but what is the
- 00:24:29effective interest okay and this is
- 00:24:31going to look familiar also from chapter
- 00:24:3312 but kind of a
- 00:24:34different way of presenting it so it
- 00:24:36might help you out
- 00:24:38so we have the outstanding balance it's
- 00:24:41not the face amount
- 00:24:42it's the outstanding balance at that
- 00:24:45time
- 00:24:46times the effective interest rate which
- 00:24:49is going to be the market rate
- 00:24:51divided by two since it's paid every six
- 00:24:54months
- 00:24:56that is going to give us an effective
- 00:24:58interest rate of forty six thousand
- 00:25:00six hundred sixty four dollars forty two
- 00:25:04thousand is the actual cash paid
- 00:25:06but this forty six thousand is going to
- 00:25:08be the effective interest rate
- 00:25:10that is going to bring down the discount
- 00:25:13each period
- 00:25:14so does this look familiar to you this
- 00:25:15amortization schedule for a discount
- 00:25:18we have the outstanding balance as of
- 00:25:21the beginning we have our interest rate
- 00:25:25that is actually
- 00:25:26paid that cash amount it's really a six
- 00:25:29percent because
- 00:25:30it's twelve percent for the year but
- 00:25:31it's every six months
- 00:25:34um then you're going to take the seven
- 00:25:36percent this is the entry we just looked
- 00:25:38at
- 00:25:38to figure out the effective interest
- 00:25:40that seven percent which was 14
- 00:25:43market rate divided by two times that
- 00:25:47outstanding balance
- 00:25:49that gives you the effective interest
- 00:25:51rate the difference between the
- 00:25:53effective interest rate
- 00:25:55and the actual cash interest
- 00:25:58is going to be an increase in the
- 00:26:01discount
- 00:26:02okay so the balance of the discount so
- 00:26:03it was 666
- 00:26:05633 then we're going to add that
- 00:26:08difference
- 00:26:09and now the outstanding balance is 671
- 00:26:13297 okay so
- 00:26:16we look here we got the 42 000
- 00:26:19came from six percent of 700 000 we know
- 00:26:22how we got that 46
- 00:26:24000 the effective interest rate the
- 00:26:26difference between the two
- 00:26:28is the 4 664
- 00:26:32we add that amount to our outstanding
- 00:26:34balance and we now have a new
- 00:26:35outstanding balance
- 00:26:37the discount has been reduced
- 00:26:40increasing the outstanding balance
- 00:26:43you will do this each year
- 00:26:47so the next year it's or each six every
- 00:26:49six months every period
- 00:26:50every time you get paid interest so
- 00:26:52again you get forty two thousand dollars
- 00:26:55in interest
- 00:26:55united would then they would take
- 00:26:59the effective interest rate times the
- 00:27:02new
- 00:27:02outstanding balance they got that from
- 00:27:04the line above
- 00:27:06that would give us the effective
- 00:27:08interest rate for this period
- 00:27:10the difference between the effective
- 00:27:14interest rate
- 00:27:14and the interest rate is going to be
- 00:27:174991 in the second period
- 00:27:20we add that difference to the
- 00:27:23outstanding balance from the prior time
- 00:27:26and that gives us our new outstanding
- 00:27:28balance so we do that each time
- 00:27:30then after our six periods
- 00:27:34we're going to be up to that 700 000
- 00:27:38which is the amount that they would
- 00:27:39actually receive
- 00:27:41at the maturity date so i'm actually
- 00:27:44going to stop there we will go into
- 00:27:46the rest of the information starting in
- 00:27:50the next
- 00:27:50lecture so i hope you understood that
- 00:27:54but if you didn't please feel free to
- 00:27:56reach out
Tags
- 债券
- 长期票据
- 面值
- 利息
- 未担保债券
- 抵押债券
- 可转换债券
- 可赎回债券
- 折扣
- 溢价