need some help

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Need some help with some questions in the current and practices book.
Chapter 25 questions # 3 page 389/369
chapter 27 question# 3
chapter 32 hedge funds page item set 2 questions # 2
chapter 33 question 1,2, & 3
thanks in advance
 
Regarding Chapter 25, question #3, I think:
1) the vacancy rate is going down, so you know that the NOI will be going up, so the answer has to be either C or D;
2) potential gross income in the second year will be $5,300,000 ($5,000,000 x 1.06);
3) assuming a vacancy rate of 10%, that means $4,770,000 in gross income ($5,300,000 x .90);
4) if the vacancy rate is instead 8%, that means $4,876,000 in gross income ($5,300,000 x .92);
5) resulting difference in gross income is $106,000 ($4,876,000 - $4,770,000);
6) annual operating expenses remain constant as a percentage of gross income, and they represented 29.14% of gross income ([$570,000 + $820,000]/$4,770,000) in the first year;
7) since they remain constant that means you reduce the difference in gross income by 29.14% to get the change in net - 70.86% of $106,000 is about $75,000, which is closest to C.
 
Regarding Chapter 25, question #3, I think:
1) just kind of eyeballing it, it almost has to be A because she prepaid $25,000, the difference between the answer chosen and $225,000 has to account for three months’ principal payments - i.e., if the answer were D for example she would have paid down only ~$110 ($225,000 - $224,889.82) of principal in three months aside from her prepayment - and just having a general idea of the amounts of payments on that kind of mortgage the principal has got to be more that it would be under B, C or D;
2) to actually figure it out you would have to construct a mortgage amortization schedule, figure out how much of each of the first three months’ payments was principal (it would be diffferent in each case) and add them up;
3) that’s covered on pp. 250-251 of the Advanced Core Topics, but I don’t think it fully explains how to construct an amortization schedule, and in any case it seems unlikely we would have to for the test - it’s easy to get the monthly payment with a calculator but it takes a bit of work to figure out the principal portion and interest portion 3 times - sure this problem is just to force us to work through it and is not representative of something we’d see on the test;
4) you can use the website below to construct an amortization schedule and figure it out, however:
http://www.hsh.com/calc-amort.html
 
Regarding chapter 32 hedge funds page item set 2 question # 2, I think:
A because you’d expect to convert if the bond’s value (i.e., 147.20) was greater than its parity (i.e., 138.48) but not if the bond’s value were less than par (i.e., 97.74 or 83.80), even if greater than parity.
 
33 #1 delta is simpel the change in convertible bond value over change in delta so you get
117.9-86.8/102.59-56.31
#3 V for volatility
 
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