Answer:
They must set aside $65,494.95 at the end of year 4.
Explanation:
Giving the following information:
Southwestern Moving and Storage wants to have enough money to purchase a new tractor-trailer in 5 years for $290,000. If the company sets aside $100,000 in year 2 and $75,000 in year 3.
Interest rate= 9%
<u>We will assume that the money gets set aside at the end of each period.</u>
First, we need to calculate the accumulated money of the first two investments using the following formula:
FV= PV*(1+i)^n
Year 2: FV= 100,000*(1.09)^3= 129,503
Year 3: FV= 75,000*(1.09)^2= 89,107.5
Total= $218,610.5
Difference= 290,000 - 218,610.5= 71,389.5
Final value= 71,389.5
We need to find the present value:
PV= FV/(1+i)^n
PV= 71,389.5/(1.09)= 65,494.95
Answer:
1. $1,250
2. $855.95
3. $3,333.33
4. $92.59
5. $46.32
6. $671.01
Explanation:
1.
$100 per year forever
Constant Cash flow every year forever is actually a perpetuity its present value is
PV of Perpetuity = Cash flow / rate of return
PV of $100 Perpetuity = $100 / 0.08 = $1,250
2.
$100 per year for 15 years
Constant Cash flow every year for specific time period is actually a Annuity its present value is
PV of annuity = P + P [ ( 1 - ( 1 + r )^-n ) / r ] = $100 + $100 [ ( 1 - ( 1 + 0.08 )^-15 ) / 0.08 ] = $855.95
3.
$100 per year grow at 5% forever
It is a growing perpetuity and its present value will be calculated as follow
Present value of growing perpetuity = Cash flow / Rate of return - growth rate
Present value of growing perpetuity = $100 / 0.08 - 0.05 = $3,333.33
4.
$100 once at the end of this year
Present value = P ( 1 + r)^-n = $100 ( 1 + 0.08 )^-1 = $92.59
5.
$100 once after 10 years
Present value = P ( 1 + r)^-n = $100 ( 1 + 0.08 )^-10 = $46.32
6.
$100 each year for 10 years @ 8%
PV of annuity = P + P [ ( 1 - ( 1 + r )^-n ) / r ] = $100 + $100 [ ( 1 - ( 1 + 0.08 )^-10 ) / 0.08 ] = $671.01
Answer: 1. Treasury bonds are not completely riskless, since their prices will decline when interest rates rise.
2. Walmart
3. Corporate bonds
Explanation:
1. Indeed even though Treasury bonds have a very low risk rating, they are not completely risk-less. They have a very low risk rating because they will always be honoured (US T - bonds that is) and so that eliminates the default risk. However, they are still exposed to maturity risk as well as inflation risk for the most part. This means that as interest rates rise therefore, their prices drop making them just a little but risky.
2. Walmart issued the bonds making them the issuer. The rest of the names are Underwriters.
3. Since the bonds were issued by a Corporation being Walmart, the bonds are Corporate Bonds.
Answer:
The correct answer is $30 billions.
Explanation:
The checkable deposits are given as $140 billions.
The total reserves are $51 billions.
The required reserve rate is 30%.
The required reserves will be
=30% of $140 billions
=
=$42 billions
The excess reserves will be
=total reserves-required reserves
=$51-$42
=$9 billions
Maximum expansion by lending will be
=
=
=$30 billions
So, the money supply can be expanded by a maximum amount of $30 billions.
Answer:
The economy is expanding quickly.
Explanation:
Aggregate supply is a measure of the total supply of goods and services made available by the supplier in an economy.
The normal aggregate supply curve is one with a positive slope. That is as price increases there is an increase in aggregate supply, and when price reduces aggregate supply also reduces.
However when aggregate supply curve is vertical, only one level of output is produced no matter the rise or fall of price.
This indicates that the economy is producing at capacity, and any increase in price will not result in increase in output.
It does not mean that the economy is expanding quickly.
