You are an analyst in the treasury department  of  the Maritime Bank (MB). One of your corporate customers is interested in a US$100 million loan for two years. Your bank decides to fund the loan from a yen loan. Your bank agrees to  borrow ¥12.8 billion at an interest rate of 1.2 percent, paid semiannually, for a period of two years. It then enters into a two-year yen/dollar swap with Citibank on a notional principal amount of $100 million (¥12.8 billion at the current spot rate). Every six months,  MB pays Citibank U.S. dollar 6 M LIBOR, while citibank makes payments to MB of 1.3 percent annually in yen. At maturity, Citibank and MB reverse the notional principals.   Assume that LIBOR6 (annualized) and the ¥/$ exchange rate evolve as follows. Calculate the net dollar amount that MB pays to Citibank("-") or receives from BT ("+") each six-month period.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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You are an analyst in the treasury department  of  the Maritime Bank (MB). One of your corporate customers is interested in a US$100 million loan for two years. Your bank decides to fund the loan from a yen loan. Your bank agrees to  borrow ¥12.8 billion at an interest rate of 1.2 percent, paid semiannually, for a period of two years. It then enters into a two-year yen/dollar swap with Citibank on a notional principal amount of $100 million (¥12.8 billion at the current spot rate). Every six months,  MB pays Citibank U.S. dollar 6 M LIBOR, while citibank makes payments to MB of 1.3 percent annually in yen. At maturity, Citibank and MB reverse the notional principals.

 

  1. Assume that LIBOR6 (annualized) and the ¥/$ exchange rate evolve as follows. Calculate the net dollar amount that MB pays to Citibank("-") or receives from BT ("+") each six-month period. 

 

 

Time (months)

 

LIBOR6

 

¥/$ (spot)

 

Net $ receipt (+)/payment (-)

 

t

 

5.7%

 

128

 

 

 

t + 6

 

5.4%

 

132

 

 

 

t + 12

 

5.3%

 

137

 

 

 

t + 18

 

5.9%

 

131

 

 

 

t + 24

 

5.8%

 

123

 

 

 

What is the all-in dollar cost of MB’s loan? 

Does it make sense for MB to hedge its receipt of yen from Citibank? Explain.

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Ok, but how did you get the $630,303.03, $607,299.27, $635,114.50 and $676,422.76 under the second table listed in the columb Respective $ Value Of Receivables? 

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How did you calculate to get the values 

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