Pembahasan Soal Ujian Profesi Aktuaris
SOAL
Pak Tono memiliki hutang yang dapat dilunasi dengan pembayaran sebesar 100+X, 200+X, dan 300+X pada akhir tahun ke-1, 2, dan 3 berturut-turut. Hutang tersebut juga dapat dilunasi hanya dengan membayar 2.000 pada akhir tahun ke-4. Diketahui tingkat bunga efektif tahunan atas hutang tersebut adalah 7%. Tentukan nilai X. Bulatkan jawaban ke satuan terdekat.
a. 298
b. 317
c. 341
d. 363
e. 386
| Diketahui |
Tentukan nilai X. |
| Rumus yang digunakan | Accumulated Value dengan bunga Majemuk, \(A\left( t \right) = k{\left( {1 + i} \right)^t}\) |
| Proses pengerjaan | \(Skenario\;1 \to A\left( 4 \right) = \left( {100 + X} \right){\left( {1 + 7\% } \right)^3} + \)
\(\left( {200 + X} \right){\left( {1 + 7\% } \right)^2} + \left( {300 + X} \right)\left( {1 + 7\% } \right)\)
\(Skenario\;2 \to \;A\left( 4 \right) = 2,000\)
Lakukan eliminasi didapati, \(2,000 = \left( {100 + X} \right){\left( {1 + 7\% } \right)^3} + \) \(\left( {200 + X} \right){\left( {1 + 7\% } \right)^2} + \left( {300 + X} \right)\left( {1 + 7\% } \right)\) \(2,000 = 672.4843 + 3.4499X\;\) \(X = 385.9121\; \cong 386\) |
| Jawaban | e. 386 |
Thnnnxxx.
I do not even know how I ended up here, but I thought this post was good.
I do not know who you are but certainly you’re going
to a famous blogger if you aren’t already
😉 Cheers!
Greetings, I think your blog could possibly be having browser compatibility problems.
When I look at your blog in Safari, it looks fine but when opening in Internet Explorer,
it has some overlapping issues. I simply wanted to give you a quick
heads up! Besides that, wonderful blog!
Generally I do not learn article on blogs, however I wish to say
that this write-up very compelled me to try and do it! Your writing taste has been surprised me.
Thank you, very great post.
It’s hard to come by well-informed people on this topic, however, you seem like you know what you’re talking about!
Thanks
Thanks for sharing your info. I truly appreciate your efforts and I
am waiting for your next write ups thank you once again. http://startflag.Rulez.jp/index.php/%E5%88%A9%E7%94%A8%E8%80%85:MargartEscobedo
Spot on with this write-up, I honestly believe this site
needs a lot more attention. I’ll probably be returning
to see more, thanks for the information!
This article will help the internet viewers for creating new website or
even a weblog from start to end. http://888.Lililian.com/comment/html/?48482.html
If some one desires to be updated with most up-to-date technologies then he must be go to see this
web site and be up to date daily.
My brother suggested I would possibly like this
web site. He used to be entirely right. This publish actually made my day.
You cann’t believe just how so much time I
had spent for this info! Thank you!
Greetings! I know this is kinda off topic but I was wondering which
blog platform are you using for this website? I’m getting
sick and tired of WordPress because I’ve had issues with hackers and
I’m looking at alternatives for another platform. I would be fantastic if you could point me in the direction of a good platform.
We’re a bunch of volunteers and opening a new scheme in our community.
Your website provided us with helpful information to work on.
You have done a formidable activity and our
whole neighborhood will likely be grateful to you.
Fantastic goods from you, man. I have understand your stuff previous to and
you are just too excellent. I actually like what you’ve acquired here, certainly like
what you’re stating and the way in which you say it.
You make it enjoyable and you still care for to keep it sensible.
I cant wait to read much more from you. This is actually a tremendous site.
I could not resist commenting. Well written!
hello there and thank you for your info – I’ve definitely
picked up anything new from right here. I did however
expertise some technical points using this site,
since I experienced to reload the web site lots of times previous to I could get it to load
properly. I had been wondering if your hosting is OK?
Not that I’m complaining, but sluggish loading instances times will very frequently affect your placement in google
and could damage your quality score if advertising and marketing with Adwords.
Well I’m adding this RSS to my email and could look
out for a lot more of your respective exciting content.
Make sure you update this again soon.
As proud parents, we are reaching out to express my deepest gratitude to the exceptional teachers at Scottish High who have played an instrumental role
Hey There. I discovered your blog using msn. That is a very neatly written article.
I will be sure to bookmark it and come back to learn extra of your useful information. Thank you for the post.
I will certainly return.