I'll answer the question based on my own project which I have been doing as DIY so you can get some perspective. My project is not complete nor do I have an accurate tabulation of my electrical project, but since you're looking for an idea of what to expect perhaps this will provide some guidance.
First, the scope of my overall project up to the point I'm at so far. I bought a 1.5 story house in the northern suburbs of Detroit last year, few homes in this city sell under $100,000, even fewer under $50,000 and empty lots seem to price around $30,000. I bought my house for $25,000. It includes a detatched 2 car garage and was originally built in 1917. It does not include a foundation, it was built on a dirt crawlspace and is supported by columns of cement blocks and most of those sit on dirt.
Overall I've probably spent $15,000 to $20,000 so far. I have replaced the roofing, insulated upstairs, removed lath & plaster and drywalled upstairs, removed all wiring upstairs, rewired the upstairs bedrooms, rewired the kitchen, installed a new 200 amp service and a 100 amp subpanel in the garage with the feeder underground through rigid conduit,.
By itself, my most recent electrical project has been upgrading to 200 amp service and installing the 100 amp subpanel in the garage. This project started at $1000 in materials at my initial tabulation, I estimate that at this point I've spent $1500 to $2000 on this project. For the most part, you could consider this project to be the foundation of the electrical system - very little actual receptacles are involved.
Bear in mind that none of this includes labor. Going to the lengths I have gone with DIY is probably not advisable for a first project. I've read a service upgrade by itself can ball-park at $2500.
The age of my house and its condition were major factors in my decision to take on the rewiring project, and these are conditions that may not be as bad on a house built in 1960. For my house, I had to wonder how it is that the house had not burnt to the ground. (structural issues aside - structurally I partially wondered how the house had not collapsed, although from the work it looked as if maybe it nearly had at several points in time... but that's another story)
You'll also have to bear in mind that newer electrical codes will need to be followed and this will drive necessary updates that come with costs. For example, the use of arc-fault circuit interupter circuit breakers will be required for most everything in the house aside from where ground fault circuit interupters are required. AFCI breakers cost $35 while regular breakers are $5. GFCI is provided by GFCI receptacles at $18 compared with $1 and under for a basic receptacle (and can also be provided by GFCI breakers instead, which cost more - $42 I think)
I find all the updates to be something I desire, but it's frankly hard to justify financially... Insurance doesn't seem to care about the state of the electrical system. And if you think it affects your houses value, ask yourself how much you've considered a house's electrical in choosing a house to buy? People look at number of rooms, size, condition and aesthetics.