Given:
Future value, F=60508.29
Monthly payment, A = 165
Compounding period = month
Number of periods, n = 12*12=144
interest per period = i [ to be found ]
We have the relationship
F=A((1+i)^n-1)/i
but there is no explicit formula for i for given F, A and n.
We need to solve a non-linear equation for the value of i, the monthly interest rate.
One of the ways is to solve it by fixed iteration, i.e.
1. using the given relation, express i in terms of other parameters.
2. select an initial value of i
3. evaluate i according the equation in step 1 until the value is stable.
Here we will use the relationship to express
i=((60508.29*i)/165+1)^(1/144)-1 [ notice that i is on both sides of = sign ]
using an initial value of i=0.01 (about 1% per month).
Successively, we get
i=((60508.29*0.01)/165+1)^(1/144)-1=0.01075571
i=((60508.29*0.01075571)/165+1)^(1/144)-1=0.011160681, similarly
i=0.0113685
i=0.0114728
i=0.0115246
i=0.0115502
i=0.0115628
i=0.0115690
i=0.0115720
Assuming the above has stablilized, and the APR is 12 time the above value, namely
Annual percentage rate = 0.01157205998210142*12=0.13886=13.89%
2042 will be the year the fund drys up, based on its current level.
Answer:
Dr Cash 11,000
Dr Accumulated Depreciation-Equipment 20,000
Equipment 31,000
Explanation:
Preparation of the Journal entry to record the disposition of the equipment
Since we were told that Lewis Company sold
the equipment for the amount of $11,000 in which the Accumulated Depreciation on the equipment to the date of disposal was the amount of $20,000 this means the journal entry to record the disposition of the equipment will be :
Dr Cash 11,000
Dr Accumulated Depreciation-Equipment 20,000
Equipment 31,000
(20,000+11,000)
Answer:
C) a reduction in the saving rate will have an ambiguous effect on (C/N)*
Explanation:
The steady state consumption refers to the difference between how capital wears out or depreciates vs total output. In order to keep a steady state consumption, the savings rate (which equals investment) must be enough to replace any worn out or completely depreciated capital.
Since the consumption rate is already higher than the steady state consumption, the effect of a decrease in the savings rate is ambiguous. Every dollar earned by a household is either spent or saved, and in order for savings to decrease, spending must increase.
But in this case, the spending level is already too high. A decrease in savings should increase consumption but the effects of the increase in the capital labor ratio and the per capita consumption are not certain.
Answer:
Net Present Value = $59,632.78
Explanation:
<em>The net present value NPV) of a project is the present value of cash inflow less the present value of cash outflow of the project.
</em>
<em>NPV = PV of cash inflow - PV of cash outflow
</em>
Present value of cash inflow:
65,000 × (1.09375)^(-1) + 98000
×(1.09375)^(-2)+ 126,000
×(1.09375)^(-3)+ 132,000 × (1.09375)^(-4)= 326882.7792
PV of annual maintenance cost :
=1,500 × (1- 1.09375^(-4))/0.09375
=4819.84773
NPV = 26882.7792 - 4819.84773
- (255,000+12250)
= 59,632.78
