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Course 37309

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If EUR/USD=1.37 and EUR/JPY=151.02 then what would be the exchange rate for USD/JPY which excludes the possibility of arbitrage?

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Let us assume that the one year risk-free interest rate is 3.9%. Now imagine that the yield of corporate bond maturing one year from today is 17.4%. The current market price of corporate bond is 169.21 EUR.

Please calculate the probability of default of the corporate bond i.e. the likelyhood that the corporation will default in one year.

  Present your answer in percent without inserting percentage sign (%). 

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Let us assume the following deposit rates 

Maturity%
1 year deposit8.1
2 year deposit6.2

Please calculate the expected forward interest rate for deposit starting at the end of first year and lasting one year (one year forward rate). 

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How much time would it take for the stock portfolio to double in value if the rate of return is 6.0%? Use the rule of 70 to find the answer [just google it]. State the answer as a number with 2 decimals (for example, 13.02).

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One year goverment bond yield of Germany is 3.6 % (the risk free rate) and the one year government bond of Alphaland is 6.2 %. 

What is the implied probability of default of Alphaland for the next 12 monhts?

Please omit the % sign in your answer.

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One period loan contract has a principal amount of 100000 EUR. 

The probability of default is 1.9 %.

In case of default on average 50% of principal value of the loan is lost due to the legal costs and fire sales price of the collateral. 

What is Expected Loss of this loan contract? 

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Imagine that you will invest into appartment which delivers you a net cash flow (after all expenses) of 7000 EUR per year. This cash flow lasts forever. What would be a price of this appartment if the discount rate of such projects would be 3.1%?

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If average stock portfolio would yield 6.1% per annum then how much time would it take for a portfolio to increase 3 times in value if all profits are reinvested? State the answer as a number with 2 decimals (for example, 13.02).

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An insurance company purchases corporate bonds in the secondary market with six years to maturity. Total par value is $55000000. The coupon rate is 11%, with annual interest payments. If the required rate of return is 9.8 percent, what will the market value of the bonds be then? State the answer as a number with 2 decimals without $ sign.

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A bond has a face value of $1000, fixed coupon rate of 8.7% and 3 years to maturity. The discount rate is 3.7%. If Macaulay duration equals to 2.78, what is modified duration in this case? State the answer as a number with 2 decimals (for example, 3.12).

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