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Maurinko [17]
3 years ago
13

Suppose that as the manager of the first national​ bank, you have to make decisions about the appropriate amount of bank capital

. looking at the balance sheet of the​ bank, which like the high capital bank has a ratio of bank capital to assets of​ 10% ($10 million of capital and​ $100 million of​ assets), you are concerned that the large amount of bank capital is causing the return on equity to be too low. you conclude that the bank has a capital surplus and should increase the equity multiplier to increase the return on equity. what should you​ do?
Business
1 answer:
Papessa [141]3 years ago
7 0
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You plan to invest in bonds that pay 6.0%, compounded annually. If you invest $10,000 today, how many years will it take for you
kati45 [8]

Answer:

The answer is 16 years.

Explanation:

The formula for calculating the value of an investment that is compounded annually is given by:

V(n)=(1+R)^nP

Where:

n is the number of years the investment is compounded,

R is the annual interest rate,

P is the principal investment.

We know the following:

25000=(1+0.06)^n \times 10000

And we want to clear the value <em>n</em> from the equation.

The problem can be resolved as follows.

<u>First step:</u> divide each member of the equation by 10,000:

\frac{ 25000}{10000}=(1+0.06)^n \times \frac{ 10000}{10000}

2.5=(1.06)^n

<u>Second step:</u> apply logarithms to both members of the equation:

log(2.5)=log (1.06)^n

<u>Third step:</u> apply the logarithmic property logA^n=n.logA in the second member of the equation:

log(2.5)=n.log (1.06)

Fourth step: divide both members of the equation by log1.06

\frac{log(2.50)}{log (1.06)} =n

n= 15.7252

We can round up the number and conclude that it will take 16 years for $10,000 invested today in bonds that pay 6% interest compounded annually, to grow to $25,000.

6 0
3 years ago
Karen and Mike currently insure their cars with separate companies, paying $400 and $600 a year. If they insured both cars with
Papessa [141]

Answer:

$1,720

Explanation:

Total annual premium for both Karen and Mike = $400 + $600 = $1,000

If they insured both cars with the same company, they would save 15% on the annual premiums -> the annual saving = 15% * $1,000 = $150

We use formula FV to calculate the future value of annual payment:

= FV(rate, number of payment, - payment) = FV(3%,10,-150) = $1,720

4 0
3 years ago
Freya plans to invest $3,200 a year for 25 years starting at the end of this year. How much will this investment be worth at the
Dmitry [639]

Answer:

$240,885.11

Explanation:

The formula to be used is = annual payment x annuity factor

Annuity factor = {[(1+r) ^N ] - 1} / r

R = interest rate = 8.2 percent

N = number of years = 25

[(1.082^25) - 1 ] / 0.082 = 75.276598

75.276598 x $3,200 = $240,885.11

I hope my answer helps you

5 0
3 years ago
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