A dollar in hand today is worth_______(less than/more than/equivalent) a dollar to be received in the future because if you had
1 answer:
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Answer:
1003
Explanation:
Given:
Period= 30 years, Loan amount= $200,000,
Payments- Monthly,
Teaser rate for first 2 years = 4%,
Annual payment cap=5%, Composite rate on reset date= 6%
Annual rate for 2 years =4%
Monthly rate will be 4/12 = 0.3333% = 0.003333
n=30years=360 months
Monthly payment for first 2 years =
=
= 954.83
or by Excel function = PMT(0.003333,360,200000,0) = 954.83
Loan balance after 2 years = PV(0.003333,336,-954.83,0) = 192,812.36 or
Balance=
=
= 192,812.36
Composite rate is 6% but payment is capped at 5%. So new payment from year 3 is 954.83×1.05=1002.57=1003
Answer:
The maximum time guaranteed = 19.04 minutes.
Explanation:
From the given problem data, we have:
Let Y be the random variable which follows the normal distribution.
So,
Y ~ N(u = 15, SD = 2.4
Where, u = mean and SD = Standard Deviation
Let the maximum time guaranteed is = M
So,
P (Y > M) = 0.05 equation 1
Convert this equation 1 into standard normal variable, that is,
P(Y> M) = 0.05
1 - P(Y M) = 0.05
P(Y M) = 1 - 0.05
P(Y M) = 0.95
P = 0.95
P ( Z ) = 0.95 Equation 2
From the equation 2, we have,
= 1.644853627
1.644853627 value is from using the function of Excel
( =NORSINV(0.95)) = 1.644853627
So,
M = 1.644853627 + 2.4 + 15
M = 19.04
Hence, the maximum time guaranteed = 19.04 minutes.