1
answer
0
watching
289
views

  1. James Hunt’s Dream Apartment

Part 1

James Hunt currently earns a yearly salary of $100,000(paid on a monthly basis at the end of each month) and his averageincome tax rate is 25% (taxes are withheld by the employer from theemployee’s gross monthly pay). He wishes to buy an apartment inBoston. He can obtain from his bank a 30-year fixed rate mortgageloan at a nominal interest rate of 4.75% per annum, with equalmonthly payments paid at the end of each month.

James also has accumulated $150,000 in savings, which heholds in a separate bank account.

He figures that all other housing-related expenses(e.g., condominium fees, utilities, insurance, and property taxes)should come up to a total of about $500/month (assume that theseexpenses are all paid at the end of each month).

As he is trying to figure out how much he can afford topay for the apartment of his dreams, he suddenly remembers theadvice his mother once gave him:

  • Do not spend more than 1/3 of your monthly disposabletake-home pay on housing costs (mortgage and all otherhousing-related expenses); and,
  • Always keep a minimum of $50,000 available at all timesin your savings account, in case of an emergency.

Given all the information above, and if he follows hismother’s advice, what is the maximum price that James can afford topay for the apartment?

Part 2

Four years after having purchased the apartment, Jameslearns that mortgage interest rates have substantially declined dueto the recession and to the Federal Reserve Bank’s aggressiveexpansionary monetary policy. He currently still owes $283,333 onhis loan principal.

The 30-year mortgage interest rate is now at 4% and a15-year rate at 3.50%. In addition, his annual salary base is now$125,000, as a result of a recent promotion, and his savingsaccount was partially replenished and now stands at$80,000.

Rather than lowering his monthly mortgage payments,James is more interested in shortening the maturity of hismortgage, so as to save a substantial amount of future interestpayments. As a result, he wishes to switch from a 30-year to a 15year mortgage at 3.50%.

Assume that his average tax rate is now 30% , thathousing-related costs are now $600 instead of $500, and that theclosing costs (legal and processing fees to modify the mortgage)are approximately $5,000, payable at closing (when the new loan isapproved).

Assuming that James continues to strictly follow hisMom’s recommendations,

  1. How much of the existing loan principal would he haveto repay upfront before setting up the new loan? (Include theclosing costs to the amount).
  2. What is the total amount of interest that he would saveover the entire duration of the loan if he were to refinance it(i.e., switch to the 15-year mortgage loan mentionedabove)?
  3. Can he afford to refinance his loan, all thingsconsidered? Should he do it? Explain.

For unlimited access to Homework Help, a Homework+ subscription is required.

Jean Keeling
Jean KeelingLv2
28 Sep 2019

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in

Related questions

Weekly leaderboard

Start filling in the gaps now
Log in