receipt of message. i think :) hope this helps
Answer:
the answer for the first question is $166667.
the answer for the second question is $210526
the answer for the third question is An inverse.
Explanation:
given information that i will invest in a $10000 scholarship that will pay forever.
the interest rate charged is 6.00% per annum therefore this is a perpetuity present value problem where there is streams of income forever therefore we use the formula :
Pv of perpetuity= Cf/r
where Cr is the cash flows payed by the single investment forever in this case $10000 then r is the interest rate of the investment amount which is 6% in this case.
Pv of Perpetuity= $10000/6%
=$166667 therefore i must invest this amount to get the scholarship running with streams of $10000 forever.
in the second problem if now the interest rate is changed from 6% to 4.75% then the amount to be invested would be :
Pv of perpetuity = $10000/4.75%
=$210526 therefore this is the amount to be invested for a forever $10000 stream of incomes for a scholarship.
the relationship is indirect cause as the interest rate decreases the present value of the perpetuity that must be invested increases.
Answer:
Risk-free rate decreases
Explanation:
The CAPM formula for calculating cost of equity requires one to know the value of 3 pieces of information only:
1. the market rate of return,
2. the beta value
3. the risk-free rate.
Ra = Rrf + [Ba∗(Rm−Rrf)]
where:
Ra=Cost of Equity
Rrf = Risk-Free Rate
Ba = Beta
Rm=Market Rate of Return
From the formula
Ra = Rrf + [1.2∗(Rm−Rrf)]
Ra = Rrf + 1.2Rm - 1.2Rrf
From Ra = 1.2Rm -0.2Rrf
From the expression above, it can be seen that the lower the value of Rrf (Risk-Free rate), the higher the value of Ra.
Do you have any choices or any info so I can help you?
:)
<span>$1500 was invested at 11%
$2500 was invested at 8%
Assuming simple interest for each investment, we have the following expressions
0.11x = interest on 11% investment. (x = amount invested at 11%)
0.08(4000-x) = interest on 8% investment
Adding the 2 expressions together and setting the sum to 365 gives
0.11x + 0.08(4000-x) = 365
Now solve for x by first distributing the 0.08
0.11x + 320 - 0.08x = 365
Subtract 320 from both sides and combine x's
0.03x = 45
Divide both sides by 0.03
x = 1500
So $1500 was invested at 11% and (4000-1500) = 2500 was invested at 8%</span>
