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1)For an unreimbursed loss due to damage or theft attributable to a federally declared disaster, the tax law allows you to deduct the ? amount of the loss less $100 less 10 percent of your AGI
1)For an unreimbursed loss due to damage or theft attributable to a federally declared disaster, the tax law allows you to deduct the ? amount of the loss less $100 less 10 percent of your AGI. B amount of the loss less $100. full amount of the loss. D amount of the loss less 10 percent of your AGI.
2)Suppose you borrow from a bank $2,464.26 today (t=0). You agree to pay back $4,205.28 in 3 years (t=3). The interest rate (%) that the bank charge you is closest to %. Input your answer without the sign and round your answer to two decimal places. QUESTION 24 %. Input your If an investment providing a nominal return of 11.18% only offers a real rate of return of 6.53%, then the exact inflation rate (%) is closest to answer without the % sign and round your answer to two decimal places. QUESTION 25 A $1,000 bond with a coupon rate of 3% paid semi-annually has 11 years to maturity and a yield to maturity of 10%. The price of the bond is closest to $ Input your answer without the $ sign and round your answer to two decimal places.
Expert Solution
1)
Correct answer to this question is option (A) i.e. Amount of loss less $100 less 10% of your AGI.
Reason : Personal casualty and theft losses attributable to a federally declared disaster are subject to the $100 per casualty and 10% of your adjusted gross income (AGI) limitations. Therefore we can deduct $ 100 and 10% of AGI from the amount of loss.
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2)
a) Given
Present value = 2464.26
Future value = 4205.28
time period in years = 3
r = annual rate of interest = ?
We that that the future value is given by the following formula,
Future value = present value*(1+interest rate)^number of years
Substituting the above given values, we get
4205.28 = 2464.26*(1+r)^3
4205.28/ 2464.26 = (1+r)^3
1.7065 = (1+r)^3
(1.7065)^(1/3) = (1+r)
(1.7065)^(0.333) = (1+r)
1.1950 = 1+r
r = 1.1950 - 1
r = 0.1950
r = 19.5%
The interest rate that the bank will charge is 19.50
b)Given
Nominal rate of return = 11.18% = 0.1118
real rate of return = 6.53% = 0.0653
The inflation rate is computed as shown below:
(1 + Nominal rate of return) = (1 + real rate of return) x (1 + inflation rate)
(1 + 0.1118) = (1 + 0.0653) x (1 + inflation rate)
1.1118 = 1.0653*(1 + inflation rate)
1.1118/ 1.0653 = (1 + inflation rate)
1.0436 = 1+ inflation rate
inflation rate = 1.0436 - 1
inflation rate = 0.0436
inflation rate = 4.36%
Therefore the inflation rate is closest to 4.36
c) Given
Annual coupon rate = 3%
Semi annual coupon rate = 3%/2 = 1.5% = 0.015
Semi annual coupon = Semi annual coupon rate*par value
Semi annual coupon PMT = 0.015*1000 = $15
Annual YTM = 10%
Semiannual YTM = 10%/2 = 5% = 0.05
Years to maturity = 11
Semi annual period = 11*2 = 22
Price of the bond is given by the following formula,
P = PMT*(1/r)*(1-(1/(1+r))^t) + FV/ (1+r)^t
P = 15*(1/0.05)*(1-(1/(1+0.05)^22) + 1000/ (1+0.05)^22
P = 15*20*(1-(1/1.05)^22) + 1000/ (1.05)^22
P = 15*20*(1-(0.9524)^22) + 1000/ 2.9253
P = 15*20*(1-0.3418) + 1000/ 2.9253
P = 15*20*(0.6582) + 1000/ 2.9253
P = 197.4450 + 341.8497
P = 539.29
Therefore, the price of the bond is 539.29
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