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DiKsa [7]
2 years ago
15

Joe must pay liabilities of 2000 due one year from now and another 1000 due two years from now. He exactly matches his liabiliti

es with the following two investments: Mortgage I: A one year mortgage in which X is lent. It is repaid with a single payment at time one. The annual effective interest rate is 6%.Mortgage II: A two-year mortgage in which Y is lent. It is repaid with two equal annual payments. The annual effective interest rate is 7%. Calculate X + Y.
Business
2 answers:
lys-0071 [83]2 years ago
7 0

Answer:

$2,760.23

Explanation:

As X and Y is the mortgage value, and we need to calculate it by using following formula

FV = PV x ( 1 + r )^n

PV = FV / ( 1 + r )^n

First we will calculate the X

Where FV =Future Value = 2,000

r = Annual effect interest rate = 6%

n = numbers of periods = 1 Year

By Placing values in the formula

PV = $2,000 / ( 1 + 6% )^1

PV = $1,886.79

Now we will Calculate the Y

Where FV =Future Value = 1,000

r = Annual effect interest rate = 7%

n = numbers of periods = 2 Year

By Placing values in the formula

PV = $1,000 / ( 1 + 7% )^2

PV = $873.44

As we need to calculate

X + Y = ?

So,

X + Y = $1,886.79 + $873.44 = $2,760.23

sweet [91]2 years ago
3 0

Answer:

The value of X+Y=2,769

Explanation:

According to the given data we have the following:

x=present value of 2,000

=2,000/(1+0.06)=1,886.79

y=present value of 1,000

=1,000(1+0.07)∧2=873.44

x+y=1,886.79+873.44

=2,760.23

=2,769

The value of X+Y=2,769

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