Solve using excel:
A. Suppose you are considering the purchase of an apartment building that has 12 units that can be rented out at $1,050 per month. You have estimated operating expenses and expected vacancy and collection losses for the first year to be $35,700 and $30,240, respectively. You also have estimated that you will be able to generate an additional $3,840 in the first year from garage rentals on the property. If the expected purchase price of the property is $1,100,000 and you are planning on making a 10% down payment, calculate the debt yield ratio.
B. Assume you have taken out a balloon mortgage loan for $2,500,000 to finance the purchase of a commercial property. The loan has a term of 5 years, but amortizes over 25 years. Calculate the balloon payment at maturity (Year 5) if the interest rate on this loan is 4.5%.
a. Debt yield ratio = Net operating income / Debt
= 89100/ 990,000
= 9%
Workings:
Net operating income = Rental income + Garage rentals - Operating expenses - expected vacancy and collection losses
= (12* 1050) + 3840 - 35700 - 30240= 89100
Debt = 1,100,000 *(1-10%) = 990,000
b. Balloon payment = $2,196,447.59
Using financial calculator or excel:
Step1:
NPER | 300 | [25years*12] |
FV | 0 | |
PV | 2500000 | |
Rate | 0.38% | [4.5%/12] |
PMT | 13895.81 | [-pmt(rate, nper, pv,fv)] |
Step 2:
NPER | 240.00 | [ 300- 60] |
FV | 0 | |
PMT | 13895.8 | |
Rate | 0.38% | [4.5%/12] |
PV | $2,196,447.59 | [-pv(rate,nper,pmt,fv,0) |
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