Question
Below is an example of a currency linked deposit. Interest rate (p.a.) Conversion rate Spread 8.50% 5.4122 -0.0265 9.00% 5.4218 -0.0169 9.50% 5.4309 -0.0078 10.00%
Below is an example of a currency linked deposit.
Interest rate (p.a.) | Conversion rate | Spread |
8.50% | 5.4122 | -0.0265 |
9.00% | 5.4218 | -0.0169 |
9.50% | 5.4309 | -0.0078 |
10.00% | 5.4397 | 0.0010 |
10.50% | 5.4481 | 0.0094 |
11.00% | 5.4562 | 0.0175 |
11.50% | 5.4640 | 0.0253 |
Suppose you would like to deposit HKD5000 into this currency linked deposit account for a month (30/365). You choose the conversion rate to be 5.4218 HKD per AUD. If the actual exchange rate 1 month later (HKD/AUD) is higher than the conversion rate, you will be able to get back your principal and interest in HKD. If the actual exchange rate 1 month later is below the conversion rate, you will get back your principal and interest in AUD, i.e. your deposit will be converted into AUD at the conversion rate.
a) If 1-month later, the spot exchange rate is 5.5, how much in HKD will you be able to get back? (leave answer in 2 d.p.)
b) If 1-month later, the spot exchange rate is 5.4, how much in AUD will you be able to get back? (leaves answer in 2 d.p.)
c) If 1-month later, the spot exchange rate is 5.4, how much in HKD will you be able to get back? (leaves answer in 2 d.p.)
d) Supposed that currently, the 1-month interest rate in HKD is 2% p.a., if you would like to deposit HKD to yield a payoff equal to your answer in question 7, how much do you need to deposit? (leaves answer in 2 d.p.)
e) Based on the above findings, what is the premium of the option embedded in the product?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started