Question

In: Finance

Total acquisition price: $3,200,000 Property consists of eight office suits, three on the first floor and...

Total acquisition price: $3,200,000

  • Property consists of eight office suits, three on the first floor and five on the second
  • Contract rents: two suits at $4,800 per month, one at $5,600 per month, and five at $2,200 per month
  • Annual market rent increase: 3.0% per year
  • Vacancy and collection losses: 5% per year
  • Operating expenses: 25% of effective gross income each year.
  • Capital expenditures: 6% of effective gross income each year.
  • Expected holding period: 5 years.
  • Expected selling price NOI capitalized at 6.75%.
  • Selling expense in year 5:0% of the sale price
  • Mortgage financing assumptions:
  • First mortgage loan: (75% LTV).
  • Annual mortgage interest rate: 6.25%
  • Loan term and amortization period: 30 years.
  • Total up-font financing costs: 1.75% of loan amount.
  • Discount Rate: 10%

Questions You Need to Answer

What is the going in cap rate?

What is the NOI for year five?

What is the selling price after the five year hold?

What is loan balance at sale?

What is the NPV for this project?

What is the IRR for this project?

What is the DCF for this project—(note BTCF)?

What is reversion amount?

*Make sure to show your work in the Excel file (provide excel equations as well).

Solutions

Expert Solution

1. Going in cap rate :

Cap rate = Discount rate – Growth rate

10% - 3% = 7%

2. NOI For year 5 : $ 252,125

Rental income at full occupancy
 + Other income (such as parking)
= Potential gross income (PGI)
 – Vacancy and collection loss
= Effective gross income (EGI)
 – Operating expenses (OE)
= Net operating income (NOI)
Rental Income $4800 /month * 2 1,15,200
$5600 /month 67,200
$2200/month * 5 1,32,000
314400
Year 1 Year 2 Year 3 Year 4 Year 5 comments
Rental Income ($) 3,14,400 323832 333546.96 343553.369 353859.97 growing@3% per year
Vacancy Loss @ 5%/year 15720 16191.6 16677.348 17177.6684 17692.9985
Effective Gross Income 2,98,680 3,07,640 3,16,870 3,26,376 3,36,167
Operating Expense @25% 74670 76910.1 79217.403 81593.9251 84041.7428
NOI 2,24,010 2,30,730 2,37,652 2,44,782 2,52,125

3. Selling price in year 5 : NOI / Cap rate

= 252,125 / 6.75%

= $3,735,185.185

4. Loan Balance at sale :

Loan amount = 75% Selling Price

0.75 * $3,735,185.185 = $ 2,801,388.89

Date Beginning Balance Interest Principal Ending Balance
1 10/19 - 9/20 $2,801,388.89 $279,437.99 $15,572.29 $2,785,816.57
2 10/20 - 9/21 $2,785,816.57 $277,807.38 $17,202.90 $2,768,613.62
3 10/21 - 9/22 $2,768,613.62 $276,005.98 $19,004.30 $2,749,609.30
4 10/22 - 9/23 $2,749,609.30 $274,015.98 $20,994.30 $2,728,614.98
5 10/23 - 9/24 $2,728,614.98 $271,817.62 $23,192.66 $2,705,422.28

NPV, IRR, DCF

discount rate 10% 10% 10% 10% 10%
time 0 1 2 3 4 5
cash flows -32,00,000 224010 230730.3 237652.209 244781.775 3987310.23
Discount Factor 1 0.90909091 0.82644628 0.7513148 0.68301346 1
PV -3200000 203645.455 190686.198 178551.622 167189.246 3987310.23
NPV 1527382.75
IRR 9%

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