Interesting
Very good budget.
Why not consider high end ultrabook?
Don't spend money on GPU since your parents most likely won't need it. So with your budget, go for good build quality, nice screen (IPS), SSD for best user experience

Acer
Aspire S7-391-53314G12, i5-3317U + Intel HD4000 + 128GB SSD + (1920x1080; touch)@RM3799, 4GB, W8

Apple
MacBookAir 13", i5-3427U + Intel HD4000 + 128GB SSD + (1440x900)@RM3699[1.35kg], 4GB, backlit keyboard, Mac OSX
MacBookAir 13", i5-3427U + Intel HD4000 + 256GB SSD + (1440x900)@RM4599[1.35kg], 4GB, backlit keyboard, Mac OSX
MacBookPro 13" (Retina Display), i5-3210M + Intel HD4000 + 128GB SSD + (2560x1600)@RM5299[1.62kg], 8GB, backlit keyboard, Mac OSX

Asus
UX31A-R4005H, i5-3317U + Intel HD4000 + 128GB SSD + (1920 x 1080)@RM3499[1.3kg], 4GB, W8
UX31A-R4003H, i7-3517U + Intel HD4000 + 256GB SSD + (1920 x 1080)@RM4599[1.3kg], 4GB, W8

Dell
XPS12, i5-3337U + Intel HD4000 + 128GB SSD + (1920x1080;touch)@RM3999[1.54kg], 8GB, W8, backlit, spill resistant keyboard, build-in battery, no ODD
XPS13, i5-3337U + Intel HD4000 + 256GB SSD + (1920x1080)@RM4299[1.36kg], 8GB, W8, backlit
XPS13, i7-3517U + Intel HD4000 + 256GB SSD+ (1920x1080)@RM4599[1.36kg], 8GB, W8, backlit

Lenovo
IdeaPad Yoga 13, i5-3337U + Intel HD4000 + 128GB SSD@RM3399, 4GB, 2 years; colors: grey/orange

Samsung
ATIV Smart Pro, i5-3317U + Intel HD4000 + 128GB SSD + (1920x1080; touch)@RM3599[884g w/o keyboard], 4GB, stylus, W8; color: black

Prices are RSP, negotiable.
Want good warranty, go for Dell, extend warranty to 3 years on site.

Since I was suggesting high end consumer ultrabook, Dell Malaysia do has better offering than Lenovo Malaysia, and if user is willing to spend, Dell Malaysia offer complete coverage warranty (will fix anything relate to the laptop no question ask) for XPS series.

I remember you also want 11"? Not many 11" business laptop come with ULV.
Also most business laptop come with OS (retail I mean, corp has enterprise license so can always tell Lenovo don't need OS). If you talk to Dell, you can opt for Ubuntu for some model, and get a discount. But Dell Malaysia, ULV, HD4000, cheap cheap, I can only think of Vostro 3360, but that's 13".

If you really like the Thinkpad Edge E130, Lenovo Singapore sell it with i3 ULV, DOS. But SG has GST, so it is slightly more expensive, and it only come with 1 year Singapore local warranty.