1/266
Looks like no tags are added yet.
true
t/f: NOI is considered the fundamental determinant of market value for income-producing properties?
graduated or ““step-up” lease
lease that establishes a schedule of rental rate increases over the term of the lease
NOI= $137,700
determine NOI using above line treatment of capX:
Subject Property:
Number of apartments 15
Market rent (per month) 1000
Vacancy and collection losses 10% of PGI
Operating expenses 5% of EGI
Capital expenditures 10% of EGI
$282835.42
n=360
i/y=4.5/12
pv=325000
fv=0
pmt=CPT
then
2nd+AMORT
p1=1
p2=84
BAL= 282835.42
Assume you have taken out a partially amortizing mortgage loan for $325,000 that has a term of 7 years, but amortized over 30 years. Calculate the balloon payment at maturity (end of year 7) if the annual interest rate on this loan is 4.5%.
10.04%
EDR=BTCF/equity
Given the following information, calculate the equity dividend rate for this investment: first-year NOI: $18,750; before-tax cash flow: $11,440; acquisition price: $570,000; total equity portion of investment: 20% of acquisition price.
$1506262
CF0= 0
CF1-4= 150000
CF5= 150000+1250000
NPV:
I= 7
NPV= CPT
Suppose that an income-producing property is expected to be purchased at a 15% overall cap rate, and expected to yield cash flows for the owner of $150,000 in each of the next five years, with cash flows being received at the end of each period. If the opportunity cost of investment (discount rate) is 7.00% annually and the property can be sold for $1,250,000 at the end of the fifth year, determine the value of the property today using the DCF approach
$2452685
GSP= 173644/.0725=2395089.66
-selling expenses: 2395089.66*.045
=2287310.621 (this is NSP)
TCF3= NOI + NSP
165375+2287310
Consider the table of projected NOI cash flows for a commercial real estate asset below.
Year 1 | Year 2 | Year 3 | Year 4 | Year 5 |
$ 150,000 | $ 157,500 | 165,375</span></p></td><tdcolspan="1"rowspan="1"style="width:77.5pt;border−width:medium1pt1ptmedium;border−style:nonesolidsolidnone;border−color:currentcolorwindowtextwindowtextcurrentcolor;padding:0in5.4pt;height:10.9pt;"><p><spanstyle="line−height:19.9733px;"> 173,644 | $ 182,326 |
If the building is sold at the end of Year 3 at a 7.25% going-out cap rate, and 4.50% in selling expenses are incurred, what is the total cash flow (TCF) in year 3?
$10572251
have to project for NEXT year (6)
(913058+ (913058*.1) ) / .095
.1 is the growth rate, could also just multiple NOI5 × 1.1 to get NOI6
Suppose that examination of a pro forma reveals that the fifth-year net operating income (NOI) for an income-producing property that you are analyzing is forecasted to be $913,058 (you can assume that this cash flow occurs at the end of the year). If you estimate the projected NOI growth rate for the property to be 10% per year, determine the projected gross sales price (sales price) of the property at the end of year 5 if the going-out capitalization rate is 9.5%.
$1935714
NOIyr1/overall cap rate
135500/.07
Suppose that you are attempting to value an income-producing property using the direct capitalization approach. Using data from comparable properties, you have determined the overall capitalization rate to be 7.0%, a reasonable discount rate of 9%, and an exit cap rate of 12%. If the projected first-year net operating income (NOI) for the subject property is $135,500, If the projected second-year net operating income (NOI) for the subject property is $145,500, and the projected final-year total cash flow for the subject property is $1,155,500 what is the indicated value of the subject using direct capitalization?
at least 75% of the value of REITS assets must consist of RE assets is the only true statement
→ at least 100 shareholders
→ 90% taxable income must be distributed
→ no 5 investors can own more than 50%
There are a set of restrictive conditions that REITs must satisfy on an ongoing basis in order to maintain their special tax status. All of the following statements regarding the main restrictions are false except
at least 75 percent of the value of a REIT's assets must consist of real estate assets. |
at least 50 investors must own a REIT's shares. |
a REIT must distribute at least 75% of its taxable income to shareholders in the form of dividends. |
no five investors can own more than 10 percent of a REIT's shares. |
false: commercial banks are LENDERS to CRE, not equity owners
t/f: Commercial banks collectively own hundreds of billions of dollars worth of commercial real estate equity, and the vast majority of these holding are the result of indirect investment through real estate securities.
false: Limited partnership allows flexible allocation of cash flow
t/f: The limited partnership ownership form requires cash flows to be allocated to each shareholder in proportion to his or her ownership of the entity, thereby preventing special allocations to multiple classes of investors.
high transaction costs and low liquidity
high costs because of search costs, due diligence, legal, and information costs
low liquidity because there’s few participants, takes longer to close a sale, and you can’t sell a slice of a building like you can sell shares of stock.
In contrast to public markets, private markets are characterized by individually negotiated transactions that take place without the aid of a centralized market. Therefore, private markets will generally have
false: FFO = Net income + real estate depreciation and amortization − gains on property sales + losses on property sales
t/f: FFO is the financial metric that measures the value of a REIT by taking the reported value of all the underlying properties it owns and deducting all liabilities such as mortgage payments.
false: intention of parties is the dominant rule
t/f: A fixture is an object that formerly was personal property but has become real property. Of the four rules for determining whether an object has become a fixture, character of the article and manner of adaptation is the most dominant rule (i.e., if there is a conflict, the rule that prevails).
false: the most common are Limited Liability Corporation, LLC and Limited Partnerships
t/f: The most common forms of indirect ownership in commercial real estate that allow for "pass-through" returns are C-Corporations and Tenants in Common.
11.86%
For the following levered total cash flow returns, what is the levered IRR?
Year | 0 | 1 | 2 | 3 | 4 | 5 |
Total Cash Flow (Pre-Tax) | (400,000)</p></td><tdcolspan="1"rowspan="1"style="border−width:medium0.5pt0.5ptmedium;border−style:nonesolidsolidnone;border−color:currentcolorwindowtextwindowtextcurrentcolor;border−image:initial;padding−top:1px;padding−right:1px;padding−left:1px;font−weight:400;font−style:normal;vertical−align:bottom;white−space:nowrap;text−align:left;"><p> 30,000 | 30,900</p></td><tdcolspan="1"rowspan="1"style="border−width:medium0.5pt0.5ptmedium;border−style:nonesolidsolidnone;border−color:currentcolorwindowtextwindowtextcurrentcolor;border−image:initial;padding−top:1px;padding−right:1px;padding−left:1px;font−weight:400;font−style:normal;vertical−align:bottom;white−space:nowrap;text−align:left;"><p> 31,827 | 32,782</p></td><tdcolspan="1"rowspan="1"style="border−width:medium0.5pt0.5ptmedium;border−style:nonesolidsolidnone;border−color:currentcolorwindowtextwindowtextcurrentcolor;border−image:initial;padding−top:1px;padding−right:1px;padding−left:1px;font−weight:400;font−style:normal;vertical−align:bottom;white−space:nowrap;text−align:left;"><p> 533,765 |
-31794.95, no because NPV is negative
enter cash flows
NPV:
i=14
NPV→ cpt
For the following levered total cash flow returns, what is the levered NPV, and should you pursue the investment if your levered discount rate is 14%?
Year | 0 | 1 | 2 | 3 | 4 | 5 |
Total Cash Flow (Pre-Tax) | (400,000)</p></td><tdcolspan="1"rowspan="1"style="border−width:medium0.5pt0.5ptmedium;border−style:nonesolidsolidnone;border−color:currentcolorwindowtextwindowtextcurrentcolor;border−image:initial;padding−top:1px;padding−right:1px;padding−left:1px;font−weight:400;font−style:normal;vertical−align:bottom;white−space:nowrap;text−align:left;"><p> 30,000 | 30,900</p></td><tdcolspan="1"rowspan="1"style="border−width:medium0.5pt0.5ptmedium;border−style:nonesolidsolidnone;border−color:currentcolorwindowtextwindowtextcurrentcolor;border−image:initial;padding−top:1px;padding−right:1px;padding−left:1px;font−weight:400;font−style:normal;vertical−align:bottom;white−space:nowrap;text−align:left;"><p> 31,827 | 32,782</p></td><tdcolspan="1"rowspan="1"style="border−width:medium0.5pt0.5ptmedium;border−style:nonesolidsolidnone;border−color:currentcolorwindowtextwindowtextcurrentcolor;border−image:initial;padding−top:1px;padding−right:1px;padding−left:1px;font−weight:400;font−style:normal;vertical−align:bottom;white−space:nowrap;text−align:left;"><p> 533,765 |
False, enhancing quality typically raises NOI, which increases value, which decreases cap rate.
t/f: Enhancing the quality of an asset will typically lower NOI, and raise the cap rate
false: everyone’s investment motive and valuation is different
t/f: Investment value is based on the expectations of a typical, or average (market) investor.
<0, if NPV is negative
Net present value (NPV) is interpreted using the following decision rule: The investor will NOT purchase the property as long as the NPV is
false: more leverage would INCREASE IRR
t/f: Assuming the going-in IRR is greater than the effective borrowing cost, if an investor increased her leverage, say from 75% to 80% LTV, we would expect NPV to increase, while going-in IRR would decrease (all else being constant).
$343674
GSP-selling expenses= NSP
NSP- remaining loan balance= BTER
Given the following information, calculate the before-tax equity reversion (BTER) in year 5: Year 5 NOI: $60,294; annual debt service: $58,444; Year 5 exit cap rate: 6%; Year 5 Gross Sale Proceeds (GSP): $1,015,312.50; Year 5 selling expenses: 4% of GSP; Year 5 remaining mortgage balance: $631,026.
-59656.61
Given the following information, calculate the Levered NPV for this property (assume all are levered cash flows): initial cash outflow: $200,000; levered discount rate: 15%; TCF for year 1: $25,876; TCF for year 2: $23,998; TCF for year 3: $23,013; TCF for year 4: $22,105; TCF for year 5: $144,670
13%
cf0= -1538462
cf1=100000
cf2=103000
cf3=109273
cf4=119406
cf5=134393+2110000
IRR→ cpt
Using the pro-forma table below, what is your unlevered IRR?
| 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Purchase Price | (1,538,462) |
|
|
|
|
|
|
Loan Proceeds | 833,333 |
|
|
|
|
|
|
Loan Fees | (16,667) |
|
|
|
|
|
|
NOI |
| 100,000 | 103,000 | 109,273 | 119,406 | 134,393 | 155,798 |
-DS |
| (50,000) | (50,000) | (50,000) | (50,000) | (50,000) | (50,000) |
BTCF |
| 50,000 | 53,000 | 59,273 | 69,406 | 84,393 | 105,798 |
|
|
|
|
|
|
|
|
NSP |
|
|
|
|
| 2,110,000 |
|
-Loan Payoff |
|
|
|
|
| (830,000) |
|
BTER |
|
|
|
|
| 1,280,000 |
|
|
|
|
|
|
|
|
|
Unlevered Discount Rate: | 10% |
|
|
|
|
|
|
Levered Discount Rate: | 12% |
|
|
|
|
|
|
19%
cf0= -1538462+833333-16667
cf1=50000
cf2=53000
cf3=59273
cf4=69406
cf5=84393+1280000
IRR→ cpt
Using the pro-forma table below, what is your levered IRR?
| 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Purchase Price | (1,538,462) |
|
|
|
|
|
|
Loan Proceeds | 833,333 |
|
|
|
|
|
|
Loan Fees | (16,667) |
|
|
|
|
|
|
NOI |
| 100,000 | 103,000 | 109,273 | 119,406 | 134,393 | 155,798 |
-DS |
| (50,000) | (50,000) | (50,000) | (50,000) | (50,000) | (50,000) |
BTCF |
| 50,000 | 53,000 | 59,273 | 69,406 | 84,393 | 105,798 |
|
|
|
|
|
|
|
|
NSP |
|
|
|
|
| 2,110,000 |
|
-Loan Payoff |
|
|
|
|
| (830,000) |
|
BTER |
|
|
|
|
| 1,280,000 |
|
|
|
|
|
|
|
|
|
Unlevered Discount Rate: | 10% |
|
|
|
|
|
|
Levered Discount Rate: | 12% |
|
|
|
|
|
|
194817
cf0= -1538462
cf1=100000
cf2=103000
cf3=109273
cf4=119406
cf5=134393+2110000
IRR= 10
NRV→ cpt
Using the pro-forma table below, what is your unlevered NPV?
| 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Purchase Price | (1,538,462) |
|
|
|
|
|
|
Loan Proceeds | 833,333 |
|
|
|
|
|
|
Loan Fees | (16,667) |
|
|
|
|
|
|
NOI |
| 100,000 | 103,000 | 109,273 | 119,406 | 134,393 | 155,798 |
-DS |
| (50,000) | (50,000) | (50,000) | (50,000) | (50,000) | (50,000) |
BTCF |
| 50,000 | 53,000 | 59,273 | 69,406 | 84,393 | 105,798 |
|
|
|
|
|
|
|
|
NSP |
|
|
|
|
| 2,110,000 |
|
-Loan Payoff |
|
|
|
|
| (830,000) |
|
BTER |
|
|
|
|
| 1,280,000 |
|
|
|
|
|
|
|
|
|
Unlevered Discount Rate: | 10% |
|
|
|
|
|
|
Levered Discount Rate: | 12% |
|
|
|
|
|
|
225590
cf0= -1538462+833333-16667
cf1=50000
cf2=53000
cf3=59273
cf4=69406
cf5=84393+1280000
IRR=12
NRV→ cpt
Using the pro-forma table below, what is your levered NPV?
| 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Purchase Price | (1,538,462) |
|
|
|
|
|
|
Loan Proceeds | 833,333 |
|
|
|
|
|
|
Loan Fees | (16,667) |
|
|
|
|
|
|
NOI |
| 100,000 | 103,000 | 109,273 | 119,406 | 134,393 | 155,798 |
-DS |
| (50,000) | (50,000) | (50,000) | (50,000) | (50,000) | (50,000) |
BTCF |
| 50,000 | 53,000 | 59,273 | 69,406 | 84,393 | 105,798 |
|
|
|
|
|
|
|
|
NSP |
|
|
|
|
| 2,110,000 |
|
-Loan Payoff |
|
|
|
|
| (830,000) |
|
BTER |
|
|
|
|
| 1,280,000 |
|
|
|
|
|
|
|
|
|
Unlevered Discount Rate: | 10% |
|
|
|
|
|
|
Levered Discount Rate: | 12% |
|
|
|
|
|
|
2.21
positive BTCF (1596072) / negative from time 0 (721796)
Using the pro-forma table below, what is your levered equity multiple?
| 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Purchase Price | (1,538,462) |
|
|
|
|
|
|
Loan Proceeds | 833,333 |
|
|
|
|
|
|
Loan Fees | (16,667) |
|
|
|
|
|
|
NOI |
| 100,000 | 103,000 | 109,273 | 119,406 | 134,393 | 155,798 |
-DS |
| (50,000) | (50,000) | (50,000) | (50,000) | (50,000) | (50,000) |
BTCF |
| 50,000 | 53,000 | 59,273 | 69,406 | 84,393 | 105,798 |
|
|
|
|
|
|
|
|
NSP |
|
|
|
|
| 2,110,000 |
|
-Loan Payoff |
|
|
|
|
| (830,000) |
|
BTER |
|
|
|
|
| 1,280,000 |
|
|
|
|
|
|
|
|
|
Unlevered Discount Rate: | 10% |
|
|
|
|
|
|
Levered Discount Rate: | 12% |
|
|
|
|
|
|
false: higher discount rate lowers NPV
Considering the pro-forma table below, if you change your levered discount rate to 25%, you will make an even higher levered NPV, and should go forward with the investment.
| 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Purchase Price | (1,538,462) |
|
|
|
|
|
|
Loan Proceeds | 833,333 |
|
|
|
|
|
|
Loan Fees | (16,667) |
|
|
|
|
|
|
NOI |
| 100,000 | 103,000 | 109,273 | 119,406 | 134,393 | 155,798 |
-DS |
| (50,000) | (50,000) | (50,000) | (50,000) | (50,000) | (50,000) |
BTCF |
| 50,000 | 53,000 | 59,273 | 69,406 | 84,393 | 105,798 |
|
|
|
|
|
|
|
|
NSP |
|
|
|
|
| 2,110,000 |
|
-Loan Payoff |
|
|
|
|
| (830,000) |
|
BTER |
|
|
|
|
| 1,280,000 |
|
|
|
|
|
|
|
|
|
Unlevered Discount Rate: | 10% |
|
|
|
|
|
|
Levered Discount Rate: | 12% |
|
|
|
|
|
|
25720.79
Given the following information, calculate the unlevered NPV for this property: outflow at time zero: -$200,000; discount rate: 18%; NOI for year 1: $25,876; NOI for year 2: $23,998; NOI for year 3: $23,013; NOI for year 4: $22,105; NOI for year 5: $23,670; NSP in year 5: 345,000.
false: more leverage leads to higher IRR
t/f: If an investor increases their leverage rate, say from 75% to 80%, we would expect NPV increases, while IRR decreases.
3
the sign changes three times
How many solutions to IRR are possible with the following cash flow? CF0:-700,000; CF1: +40,000; CF2: -71,000; CF3:-12,000; CF4: +1,200,000
1.6
(23013+345000) / (200000+25876+3998)
Given the following information, calculate the Levered Equity Multiple for this property: equity outflow at time zero: -$200,000; discount rate: 18%; Entrance Cap Rate: 6.00%; Exit Cap Rate: 6.25%; BTCF for year 1: -$25,876; BTCF for year 2: -$3,998; BTCF for year 3: $23,013; BTER in year 3: 345,000.
71.3%
cf0= -100000
cf1= 20000
cf2= 40000
cf3= 60000
cf4= 180000+360000
IRR→ cpt
Suppose equity investors have an agreement whereby the general partner/sponsor will split everything with the limited partners "pari passu" until an equity multiple of 3.00 is reached, then the GP/Sponsor will be entitled to a promote equal to 90% of any additional returns.
The sponsor/GP has invested 10% of the equity, and the limited partners have invested 90% of the equity.
What is the expected IRR of the sponsor/GP given the levered cash flows below?
CF0: -1,000,000
CF1: 200,000
CF2: 400,000
CF3: 600,000
CF4: 2,200,000
false: land is considered entry ticket
t/f: Feasibility analysis is often considered the "entry ticket to development" as it is the most important step.
NPV analysis
The main tool that a developer will use in determining the financial feasibility of a project is
false: screws are a hard cost
t/f:If a general contractor buys screws at Home Depot for a house that they are working on, they will ask that the cost of the purchase be reimbursed by the construction lender as a soft cost.
mezzanine debt use is less expensive than equity financing
When construction costs exceed the amount of the construction loan, a developer may seek to cover the gap using mezzanine financing. All of the following statements regarding mezzanine debt are false except
mezzanine debt use must go through the foreclosure process in the case of default. |
mezzanine debt use is less expensive than equity financing. |
mezzanine debt use is less expensive than normal construction financing. |
mezzanine debt will dilute equity returns. |
false: this is an example of RESOURCES in search of an opportunity
t/f: Suppose that a wall-street investment bank invests $100MM with a luxury hotel development firm, and asks them to provide at least 15% return on their investment. Of the three occasions for development, this is an example of the use looking for a site.
false: this team member is the civil engineer
t/f: The development team member / consultant who manages the the detailed design of roads, sewers, water lines, and other aspects on and under the land is the Land Planner.
false: construction lenders contribute during construction with a negatively amortizing construction loan
t/f: Construction lenders and the equity investors both contribute to the total cost of a development at time zero (before moving forward with the project), just like in any other property investment.
false: a miniperm is used when you plan to KEEP the property for a few years after construction
t/f: Miniperm financing is typically sought if interest rates are forecasted to rise, and the developer plans to sell the building immediately upon stabilization.
150 basis points
(100000/1250000) = .08 development yield
.08-.065 = .015 (development spread)
.015 is 150 bp
What is the development "spread" on a building with a potential stabilized NOI of $100,000; total costs of $1,250,000; and an estimated going out cap rate of 6.5%.
12.98
170000/1310000
Given the following information, calculate the going-in (entrance) capitalization rate for the apartment complex based on a projected acquisition price of $1,310,000, the projected returns below, and assuming the entire building is projected to be sold at the end of Year 3 for a Gross Sales Price (GSP) of $1,550,000.
Year 1 NOI: $170,000
Year 2 NOI: $195,000
Year 3 NOI: $300,000
Year 4 NOI: $305,000
Year 5 NOI: $310,000
2451612.90
190000/.0775
Given the following information, calculate the direct cap value for the apartment complex based on the projected returns below, a discount rate (opportunity cost) of 10.25%, an overall (market) cap rate of 7.75%, an exit (terminal) cap rate of 8.75%, and assuming the entire property is projected to be sold at the end of Year 3 with selling expenses of 3.00%
Year 1 NOI: $190,000
Year 2 NOI: $200,000
Year 3 NOI: $195,000
Year 4 NOI: $280,000
Year 5 NOI: $330,000
$2459204.36
cf0= 0
cf1= 110000
cf2= 255000
cf3= 255000 + 2729189.19 (NSP) = 2984189.19
NSP= 255000 (NOI4) / .0925 = 2756756.76
-selling expenses 27567.57
= 2729189.19
NPV:
I= 10.75
NPV→ cpt
Given the following information, calculate the Discounted Cash Flow (DCF) Value for the apartment complex based on the projected returns below, a discount rate (opportunity cost) of 10.75%, an overall (market) cap rate of 7.25%, an exit (terminal) cap rate of 9.25%, and assuming the entire property is projected to be sold at the end of Year 3 with selling expenses of 1.00%
Year 1 NOI: $110,000
Year 2 NOI: $200,000
Year 3 NOI: $255,000
Year 4 NOI: $255,000
Year 5 NOI: $305,000
3050230.77
step 1: Ghost year 6
190000 + 3% = 195700
step 2: divide ghost year by going out rate
195700/.065 = 3010769.23
step 3: subtract selling expenses of 5% to get NSP
3010769.23 - 150538.46 = 2860230.77
step 4: add to NOI year 5 to get TCF5
190000+2860230.77
An income-producing property has a forecasted Year 5 Net Operating Income (NOI) of $190,000. You estimate the projected NOI growth rate for the property to be 3.00% per year.
What is the total cash flow (unlevered total cash flow) for the property at the end of Year 5, assuming the property is sold at that time?
Enter the answer below as a positive number rounded to the nearest penny, without dollar sign. There is a $1 rounding tolerance.
Property Analysis & Market Assumptions (use only what is needed):
Year 5 NOI: $190,000
Projected Annual NOI Growth Rate: 3.00%
Overall (Market) Cap Rate: 6.00%
Going-out (Terminal) Cap Rate: 6.50%
Discount Rate (Opportunity Cost): 9.25%
Selling Expenses: 5.00%
59461.14
step 1: ghost (year 4 NOI / exit rate) - 2% selling expenses = NSP
(195000/.079) - 49367.09 = 2418987.34
step 2: CF
cf0= -2205000
cf1=155000
cf2=160000
cf3= 155000+2418987.34
NPV:
IRR= 9
NRV→ cpt
You are evaluating an industrial warehouse with the following 5-year NOI forecast: Year 1: $155,000 | Year 2: $160,000 | Year 3: $155,000 | Year 4: $195,000 | Year 5: $230,000
Investment Data:
Purchase Price: $2,205,000
Market (For Appraisal) Cap Rate: 7.40%
Equity Required at Time Zero: $680,000
Loan Payoff Amount: $1,400,000
Expected Terminal Cap Rate: 7.90%
Unlevered Discount Rate: 9.00%
Levered Discount Rate: 10.00%
You plan to execute a full sale of the asset at the end of Year 3. Selling costs are 2.00%.
Calculate the projected Unlevered NPV using the Purchase Price.
You are evaluating a retail shopping center with the following 5-year NOI forecast: Year 1: $150,000 | Year 2: $160,000 | Year 3: $165,000 | Year 4: $195,000 | Year 5: $280,000
Investment Data:
Purchase Price: $2,215,000
Market (Appraisal) Cap Rate: 7.40%
Equity Required at Time Zero: $680,000
Annual Debt Service: $100,000
Loan Payoff Amount (End of Y3): $1,450,000
Expected Terminal Cap Rate: 7.90%
Unlevered Discount Rate: 8.00%
Levered Discount Rate: 11.00%
You plan to execute a full sale of the asset at the end of Year 3. Selling costs are 2.00%.
Calculate the Levered NPV.