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AleksAgata [21]
2 years ago
10

On May 15, 2000 you enter into a 1-year forward rate agreement (FRA) with a bank for the period starting November 15, 2000 to Ma

y 15, 2001. You will receive the forward rate and pay the floating rate in the FRA. You know that currently the price of the 6-month zero coupon is $96.79 and the price of the 1-year zero coupon is $93.51.
a. What is the agreed-upon forward rate in the transaction?

b. What is the value of the forward at inception?
Business
1 answer:
Artyom0805 [142]2 years ago
7 0

Answer:

a.

3.51%

b.

0%

Explanation:

a.

First, we need to calculate the YTM of 6 months zero-coupon bond by using the following formula

Price = Face value / ( 1 + YTM )^numbers of years

96.79 = 100 / ( 1 + YTM )^1

1 + YTM = 100 / 96.79

1 + YTM = 1.0331646

Now calculate the YTM of 1 Year zero-coupon bond

93.51 = 100 / ( 1 + YTM )^1

YTM = 1.0331646 - 1

YTM = 0.0331646

YTM = 3.31646%

YTM = 3.316%

1 + YTM = 100 / 93.51

1 + YTM = 1.06940

YTM = 1.06940 - 1

YTM = 0.06940

YTM = 6.940%

YTM = 6.94%

Hence the forward rate is calculated as follow

Forward rate = [ (1 + YTM of 1 year zero coupon bond ) / ( 1 + YTM of 6 months year zero coupon bond ) ] - 1 = ( 1 + 6.94% ) / ( 1 + 3.316% ) = [ 1.0694 / 1.03316 ] - 1 = 1.03508 - 1 = 0.03508 = 3.508% = 3.51%

b.

At the time of inception the formward rate is 0.

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The Stanton Stationery Shoppe wants to acquire The Carlysle Card Gallery for $450,000. Stanton expects the merger to provide inc
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The Stanton Stationery Shoppe wants to acquire The Carlysle Card Gallery for $450,000. Stanton expects the merger to provide incremental earnings of about $70,000 a year for 10 years. Carol Stanton has calculated the marginal cost of capital for this investment to be 8%. Conduct a capital budgeting analysis to determine whether she should purchase The Carlysle Card Gallery.

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Capital Budgeting Analysis is a process of evaluating how we invest in capital assets; i.e. assets that provide cash flow benefits for more than one year.

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As the name suggests, net present value is nothing but net off of the present value of cash inflows and outflows by discounting the flows at a specified rate.

From the question the following are given:

  1. Capital Expenditure = $450,000
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It's formula is given as:

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NPV = (Cash flows)/( 1+r)i

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Computing with a spreadsheet, the Net Present Value of the Investment is given at $ 19,706.

Kindly see attached spreadsheet.

Judgement: Since the NPV is positive the investment is profitable and hence Nice Ltd can go ahead with the expansion.

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