Question
** PLEASE SHOW HOW TO COMPLETE IN EXCEL. I have included the correct answers as I keep being given the wrong answers :( You are
** PLEASE SHOW HOW TO COMPLETE IN EXCEL. I have included the correct answers as I keep being given the wrong answers :(
You are an employee of University Consultants, Limited, and have been given the following assignment. You are to present an investment analysis of a small retail income-producing property for sale to a potential investor. The asking price for the property is $1,250,000; rents are estimated at $160,000 during the first year and are expected to grow at 2.5 percent per year thereafter. Vacancies and collection losses are expected to be 10 percent of rents. Operating expenses will be 35 percent of effective gross income. A fully amortizing 70 percent loan can be obtained at 8 percent interest for 30 years (total annual payments will be monthly payments 12). The property is expected to appreciate in value at 3 percent per year and is expected to be owned for five years and then sold.
Required:
a. What is the first-year debt coverage ratio?
b. What is the terminal capitalization rate?
c. What is the investors expected before-tax internal rate of return on equity invested (BTIRR)?
d. What is the NPV using a 14 percent discount rate?
e. What is the profitability index using a 14 percent discount rate?
Explanation
ASSUMPTIONS:
Asking Price | $ 1,250,000 | |
---|---|---|
Rent year 1 | $ 160,000 | |
Growth-Rent | 2.50% | |
Vacancy & Collection Loss | 10.00% | of rents |
Expenses | 35.00% | of EGI |
Loan-to-Value | 70.00% | |
Loan Interest | 8.00% | |
Loan term | 30 | years |
Appreciation rate | 3.00% | |
Holding Period | 5 | years |
Selling costs | 0.00% | of sale price |
Equity discount rate | 14.00% | |
Reinvestment rate | 6.00% |
Equity | 375,000 | |
---|---|---|
Loan | 875,000 | |
Annual Loan Payment | 77,045 | |
Mortgage Balance | 831,861 | year 5 |
Year | 1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|
PGI | 160,000 | 164,000 | 168,100 | 172,303 | 176,610 | 181,025 |
Vacancy & Collection Loss | 16,000 | 16,400 | 16,810 | 17,230 | 17,661 | 18,103 |
EGI | 144,000 | 147,600 | 151,290 | 155,072 | 158,949 | 162,923 |
Expenses | 50,400 | 51,660 | 52,952 | 54,275 | 55,632 | 57,023 |
NOI | 93,600 | 95,940 | 98,339 | 100,797 | 103,317 | 105,900 |
Debt Service | 77,045 | 77,045 | 77,045 | 77,045 | 77,045 | 77,045 |
BTCF | 16,555 | 18,895 | 21,293 | 23,752 | 26,272 | 28,855 |
Cash flow from sale in year 5 | |
---|---|
Sales Price | 1,449,093 |
Sales costs | 0 |
Mortgage Balance | 831,861 |
Before-tax cash flow | 617,231 |
a.
FIRST YEAR DEBT COVERAGE RATIO (DCR)
Year | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
Debt-Coverage Ratio | 1.21 | 1.25 | 1.28 | 1.31 | 1.34 |
b.
TERMINAL CAPITALIZATION RATE
NOI Year 6 | 105,900 |
---|---|
Resale Price | 1,449,093 |
Terminal Capitalization Rate | 7.31% |
c.
BTIRR on Equity
Year | 0 | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|---|
BTCF | (375,000) | 16,555 | 18,895 | 21,293 | 23,752 | 643,503 |
BTIRR on Equity | 15.08% |
d.
NET PRESENT VALUE
NPV - Equity 16,711 @ 14.00%
This means that the investor can invest $16,711 more in the property and still earn a 14% IRR.
e.
PROFITABILITY INDEX
Present Value BTCF | 391,711 | |
---|---|---|
Initial Equity Investment | 375,000 | |
Profitability Index: | 1.04 | @ 14.00% |
This means that the investment is profitable in the sense that the investor could invest about 4% more in the property and still earn a 14% IRR.
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