Question

In: Finance

Q) A landlord wants an advice on how she might decide whether or not to add...

Q) A landlord wants an advice on how she might decide whether or not to add additional bathroom. The cost of the additional is $10,000. The interest rate is 5% . she can expect to get an additional $ 450 per annum on rent as a result for the life of the bathroom.

  1. She should do the investment?
  2. If the additional rents were $440, should she do the investment?
  3. What would be the position if the interest rate were 4%?

PLEASE GIVE YOUR ANSWER IN WORD FORMAT. DO NOT CONVERT INTO IMAGE.

Solutions

Expert Solution

(a)      
Cost of investment   10000  
Additional rent or cash flows   450  
Interest rate   5%  
Time not given. so assume perpetual      
      
Present value of perpetual payments = cash flows / Interest rate      
450/5%      
9000      
      
NPV = Present value of cash flows - Present value of cash inflows      
9000-10000      
-1000      
      
NPV is -$1000. so investment should not be made.      
      
(b)      
additional rent or free cash flows      
Present value of free cash flows = 440/5%      
8800      
      
NPV = 8800-10000      
-1200      
      
NPV is -$1200. So investment should not be made.      
      
(c)      
If interest rate = 4%      
1st case      
Present value of free cash flow of $450 = 450/4%      
11250      
      
NPV = 11250 - 10000      
1250      
      
NPV is 1,250. So investment should be made.      
      
2nd case      
Present value of free cash flow of $440 = 440/4%      
11000      
      
NPV = 11000 - 10000      
1000      
      
NPV is 1,000. So investment should be made.      


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