Assignment title: Information
An investor is interested in purchasing a multi-tenant office building in Miami, which has an asking price of
$110 per SF. Assume that, apart from 2% purchasing cost, there are no additional acquisition-related
costs. The building size is 60,390 SF. It is currently leased to three tenants:
? The first tenant is renting 24,156 SF for $25/SF/year. The lease will expire in 2 years.
? The second tenant is renting 10,266.3 SF for $23.5/SF/year. The lease will expire in 4 years and
has an annual rent increase of 3%.
? The third tenant is occupying the remaining space for $22/SF/year and the lease will expire in 6
years. Rental increases of $2 per SF will occur at the beginning of the 2nd and 4th year.
After the first lease expires, assume a V&C of 5% of the PGI each year, which will increase to 10% once
the second lease expires. The market rent is currently $19/SF/year and is expected to decrease by 4%
each year for the next 3 years and then increase again at 2.25% each year for the next 4 years.
Operating expenses for all leases are $8.5/SF/year and will increase annually by 2% (i.e. with inflation).
All three leases are leases with operating expense recovery, which amounts to a recovery of 75% of the
operating expenses. The landlord covers the remaining 25% of operating expenses and an additional
$2/SF/year in non-operating expenses. Non-operating expenses are expected to remain the same. You
may assume different lease terms with regard to operating expenses for new leases. Please state your
assumptions in the Excel spreadsheet if they differ from the old leases. A capital expenses reserve of
$3/SF/year is furthermore required.
The building is depreciated over 39 years (mid-year convention for first and last year) and the value of
improvements (building) is considered to be 80% of the purchasing price. The going out cap rate is 8.80%
and the investor requires a return of 10%. Selling costs are 2% of the sales price. The investor expects to
hold the building for 5 years. Assume an income tax of 35% and a capital gains tax of 15%.
Part 1 (Investment analysis without debt financing): Assuming that the investor wants to hold the property
for 5 years, conduct a discounted cash flow analysis (DCF) to calculate the IRR and NPV (based on NOI
and net selling price) for this investment.
? Based on these metrics, is the investment worth undertaking?
Part 2 (Investment analysis with fixed rate mortgage): The investor received a lender's offer for a 30year
mortgage at 7% (compounded monthly) with a loan to value ratio (LTV) of 70%. No financing costs (e.g.
origination fees) or discount points occur.
? Considering this FRM, what are the after-tax NPV and IRR? Is this investment still worth
undertaking?
Part 3 (Investment analysis with adjustable rate mortgage):
The investor also has received offers for adjustable rate mortgages by three lenders. All have annual
interest rate adjustments. All mortgages assume a LTV of 70% and 30 years maturity. For simplicity, use
annual compounding. State your assumption on how you treat discount points.
ARM
I ARM II ARM III
Initial interest 4% 3/1 mortgage; initial interest is fixed for 3
years and only interest is paid. Amortization
5.5%
begins in year 4.
6.5%
Margin 2.5% 2.5% 2%
Caps None
Periodic interest cap: 2% (no negative
amortization)
Periodic interest floor: 1.5%
Periodic payment cap of
5% (no negative
amortization)
Prepayment
penalty None 3% 3%
Discount
Points 2% None 2%
Interest rates are expected to change as follows over the next 5 years:
Year 2 3 4 5
Index 3% 2.5% 1.8% 2.3%
? Calculate the payments for all three mortgages, i.e. calculate the initial cash inflow from the
mortgage, the annual payments and ending balance after 5 years.
? Calculate the interest rate you are effectively paying (IRR) for each of the three mortgages. Which
mortgage has the lowest effective rate?
? Redo your investment analysis with the ARM you chose as having the lowest effect rate. What
are the after-tax IRR and NPV? Is this investment still worth undertaking? Should the investor
choose the FRM or ARM?
Part 4 (Investment analysis with participating mortgage):
The investor is also approached by a lender, who is interested in providing a 30yr FRM with a 3.5%
interest rate (monthly compounding) and LTV of 85%. However, the lender requires an equity
participation of 30% in each year's before tax cash flow (BTCF) and 35% in the before tax equity
reversion (BTER). What are the after-tax IRR and NPV? Is this investment still worth undertaking?
Considering the FRM, ARM and participating mortgage, which option would you recommend the investor
and why?