You are an analyst in the treasury department of the Tropical Bank (TB). One of your corporate customers is interested in a US$200 million loan for two years. Your bank decides to fund the loan from a yen loan. Your bank agrees to borrow 26 billion at an interest rate of 1.5 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 $200 million (26 billion at the current spot rate). Every six months, TB pays Citibank U.S. dollar 6 M LIBOR, while Citibank makes payments to TB of 2.3 percent annually in yen. At maturity, Citibank and TB reverse the notional principals.

a. Assume that LIBOR6 (annualized) and the /$ exchange rate evolve as follows. Calculate the net dollar amount that TB pays to Citibank("-") or receives from Citibank ("+") each six-month period. (8 marks)

Time (months) LIBOR6 /$ (spot) Net $ receipt (+)/payment (-) t 5.7% 128 t + 6 5.4% 125 t + 12 5.3% 127 t + 18 5.9% 134 t + 24 5.8% 125 b. What is the all-in dollar cost of TBs loan? (4 marks) c. Does it make sense for TB to hedge its receipt of yen from Citibank? Explain.