Answer: $8,009.3
Explanation:
Given that,
Deposits(P) = $100 today (Annuity amount)
Additional deposits = $100 end of each quarter for the next 13 years
nominal annual rate = 6% compounded annually
= 0.015
No. of deposits (n) = 53
Payments are made at end of quarter. So future Value of annuity formula will become applicable.
Future value of annuity due = 
= 
= 100 × 80.09
= $8,009.3
Therefore, she will have $8009.38 for her trip.
Answer:
Answer for the question:
Harry's competitive math team has been ranked the number one team for the past 40 days. His team competes in a math competition at least once per day and competes in no more than 60 competitions in these 40 days. Show that there is some day $i$ and some day $j$ such that between $i$ and $j$, exactly 19 matches have been played.
is given in the attachment.
Explanation:
Answer:
The correct answer is (e)
Explanation:
Digital currency, such as bitcoin is out of government’s control. Similarly, the market decides their price and that makes them unpredictable. Likewise, the digital money has various problems that make them different and hard to trust on, such as, they can’t be used as means of payment, the unit of account, store of value and standard value. Because fiat money is equipped with all those advantages, which is why people doubt that current forms of digital will replace traditional money.
Let x = the price of the car that Olivia can afford.
Down payment = $2,500
Remaining amount to be financed is P = x - 2500.
Total payments should equal the monthly payments.
The total payment over 4 years (48 months) is
A = $185*48 = $8,880
The rate is r = 4.9% = 0.049.
The compounding interval is n = 12.
The time is t = 4 years.
The amount financed is P = $(x - 2500).
Therefore
(x - 2500)(1 + 0.049/12)⁴⁸ = 8880
1.216(x - 2500) = 8880
x - 2500 = 7302.63
x = 9802.63
Olivia can afford a car priced at $9,802.63.
Answer: $9,802.63
Answer:
$63.01
Explanation:
The share price today is the present value of expected future cash flows which in this case are the expected future dividends and the terminal value of dividends beyond the 3rd year.
Year 1 dividend =$2.2
Year 2 dividend =$3.9
Year 3 dividend =$4.8
Terminal value=Year 3 dividend*(1+constant growth rate)/(required rate of return-constant growth rate)
constant growth rate=2%
the required rate of return=9%
Terminal value=$4.80*(1+2%)/(9%-2%)
Terminal value=$69.94
Present value of a future cash flow=cash flow/(1+required rate of return)^n
n is 1 for year 1 dividend, 2 for year 2 dividend , 3 for year 3 dividend, and terminal value(terminal value is stated in year 3 terms)
stock price=$2.2/(1+9%)^1+$3.9/(1+9%)^2+$4.8/(1+9%)^3+$69.94/(1+9%)^3
stock price=$63.01
