I am so excited for my recent laptop purchase, this will increase my productivity while doing school work.
New computers are exciting. The new hardware does help boost productivity. What brand laptop did you get? HP, Acer, Dell XPS ?
I purchased a Dell XPS 13. It was a splurge for me and much nicer than any other laptop that I have owned. But, I think that it is worth the price. Hopefully it will last me a very long time.
Computers are a good investment, especially a Dell XPS as they have some good options and processor. The utility and use makes it worth the money. If you add up all the time you spend using the computer versus the money you spent it comes out to a few cents an hour. There are not many things out there that you can do for only a few cents an hour that give you the amount of use like a computer does. 
Absolutely, and a larger initial investment in a good laptop is far more economical than having to purchase multiple lower quality laptops. 
Reminds me of the Terry Pratchett quote about spending more money on boots upfront saves you money in the long run than buying multiple pairs of cheap boots.
Definitely. I need something that is reliable and will last. Being able to get my schoolwork done faster will give me more time to do more important things - like working and spending time with loved ones.
Well with the better battery in the XPS 13 and newer processors you will definitely free up time and have more mobility to do the things you want to do with loved ones. 
You seem to know a lot about computers. Do you work in tech?
No. Just an enthusiest that reads a lot of reviews and watches Linus Tech Tips on YouTube. Totally would reccomend that channel for any tech type of stuff. He does a good job of keeping it simple for non-tech people but still gives enough information to keep tech people happy too.