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Course 37309

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Let us assume that the one year risk-free interest rate is 3%. Now imagine that the yield of corporate bond maturing one year from today is 14.7%. The current market price of corporate bond is 166.51 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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If the price of the call option is 1.8 and it enables us to sell the underlying asset at strike price 21.8 next Monday then what is the break-even level of this assets's market price of Monday?

Note: The option purchase starts generating profit if the market price is above the break even level.

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If the price of the put option is 3.1 and it enables us to sell the underlying asset at strike price 216 next Monday then what is the break-even level of this assets's market price of Monday?

Note: The option purchase starts generating profit if the market price is below the break even level.

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Lets assume the following two year bond (time to maturity: two years from today):

Face value 1000 EUR;

Fixed coupon yield 6.1% (coupon is paid once a year at the end of each year);

Current discount rate is 3.2%.

Calculate and present the current market price of the bond (in EUR) and present answer in numerical format (without adding the EUR).

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Let us assume the following deposit rates 

Maturity%
1 year deposit12.5
2 year deposit4.4

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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If EUR/USD=1.37 and EUR/JPY=148.02 then what would be the exchange rate for USD/JPY which excludes the possibility of arbitrage?

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

The probability of default is 2.6 %.

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 7.5%?

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If average stock portfolio would yield 1.4% 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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How much time would it take for the stock portfolio to double in value if the rate of return is 2.4%? 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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